{"as_of":"2026-08-12T08:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:26e08d506998fa32a2745bb2fb7277677fc7a24bd93da2ced22fa0f4e0c33874","coverage":[{"denominator":129,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T23:21:12.258756Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2412.20736/citation-record","integrity":"/paper/2412.20736/integrity","json":"/paper/2412.20736/citation-record.json","paper":"/paper/2412.20736"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.916176Z","title":"Suppressing quantum errors by scaling a surface code logical qubit","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.916176Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:8de94bc60b2ec890eb809127a352cda0ebb5e0e1e05e83fb79345a8366d2f9c0","observation_id":"84f7d45c-b8c2-4f82-8399-9a41912830d5","resolution":{"observed_at":"2026-08-10T23:21:11.916176Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.920886Z","title":"Taylor Expansion and Derivative Formulas for Matrix Logarithms","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.920886Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:a974cb4d10f97580434d0db241f786826df96cd98135080fd255f26f6e835d75","observation_id":"73f13190-79ae-4498-ae64-8287843bd09a","resolution":{"observed_at":"2026-08-10T23:21:11.920886Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.924779Z","title":"Fault-Tolerant Quantum Computation with Constant Error Rate","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.924779Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:53f3ae8965b2fd9acad7702a09d63fe9a1d80f8e45aa260978824b9c1f6449a2","observation_id":"414d2993-30a0-4378-8ca3-b94ac10ff9bf","resolution":{"observed_at":"2026-08-10T23:21:11.924779Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.928505Z","title":"Quantum Capacity under Adversarial Quantum Noise: Arbitrarily Varying Quantum Channels","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.928505Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:f10f610d360cdfbda42073f2be03e6cf51a6fe66597c4e49795d1c7beb78c26a","observation_id":"e6d95f2b-8a07-4647-bc0c-e256f0fdc38b","resolution":{"observed_at":"2026-08-10T23:21:11.928505Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.932216Z","title":"Continuity of quantum conditional information","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.932216Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:c0f98f47b2d8e23772f87e2b9b590089076fa82c776687e7191c9e736ddd8f75","observation_id":"f066ae3c-76c8-49e5-ab6a-614fafb819c9","resolution":{"observed_at":"2026-08-10T23:21:11.932216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.935704Z","title":"Quantum accuracy threshold for concatenated distance-3 codes","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.935704Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:16c7355a436a4866df9cf0527f127916a5435e61dc9063a3725a3aac31fb0719","observation_id":"3b76b5b6-35c7-4aaa-998f-594f3f1edfec","resolution":{"observed_at":"2026-08-10T23:21:11.935704Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0703264","last_updated":"2007-09-17T21:17:30Z","snapshot_observed_at":"2026-07-07T07:25:40.124351Z","submitted_at":"2007-03-28T20:19:39Z","title":"Accuracy threshold for postselected quantum computation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0703264","snapshot_observed_at":"2026-08-10T23:21:11.939262Z","title":"Accuracy threshold for postselected quantum computation","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.939262Z"},"links":{"cited_paper":"/paper/quant-ph/0703264","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:e1f4bfe1c5349828c435b3045b0710d437762cca02f8bfc35e4013b837d247b7","observation_id":"3ab3104f-8063-45c3-8054-191dca9f84e3","resolution":{"observed_at":"2026-08-10T23:21:11.939262Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.943555Z","title":"Continuity bounds on the quantum relative entropy","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.943555Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:f808e937c3d2e7cc4490ba473867d1e3f5af660978161321d5658a31c234abaa","observation_id":"9360be8e-bda8-4e8e-8b39-b41a82516e1f","resolution":{"observed_at":"2026-08-10T23:21:11.943555Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.02939","last_updated":"2024-02-06T21:06:17Z","snapshot_observed_at":"2026-08-04T10:15:52.699140Z","submitted_at":"2022-10-06T14:09:16Z","title":"Fault-tolerant Coding for Entanglement-Assisted Communication","version":2},"cited_work":{"arxiv_id":"2210.02939","doi":null,"metadata_source":"pith","pith_arxiv_id":"2210.02939","snapshot_observed_at":"2026-08-10T23:21:13.021842Z","title":"Fault-tolerant Coding for Entanglement-Assisted Communication","venue":"quant-ph","work_id":"1c8a5b1b-aff4-444c-940d-84bb5dfe5754","year":2022},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.946968Z"},"links":{"cited_paper":"/paper/2210.02939","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:a8c1f79a1cba9680fc296f7d631cfc554185fcc2b6dd2b5683814f1e8e8849da","observation_id":"7dca68a8-79d3-4141-8483-3cbafde95497","resolution":{"observed_at":"2026-08-10T23:21:13.027463Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.951412Z","title":"Fault-Tolerant Cod- ing for Entanglement-Assisted Communication","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.951412Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:73cab354cb3a64e68e9db41e8649dab97361857f9583a17c804f5784ccbab70f","observation_id":"a9f6f1c8-28f4-4ff9-88da-99a20838b57d","resolution":{"observed_at":"2026-08-10T23:21:11.951412Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.954517Z","title":"Teleporting an unknown quantum state via dual classical and Einstein- Podolsky-Rosen channels","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.954517Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:690c04b7c7c6a0c8afec8a6bb6f9df7b2c2798f6b0aa4abb032f36d059a71dfd","observation_id":"efb2f472-a6ab-4bf4-b52d-8a7739dce19d","resolution":{"observed_at":"2026-08-10T23:21:11.954517Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.957553Z","title":"The Quantum Reverse Shannon Theorem and Resource Tradeoffs for Simulating Quantum Channels","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.957553Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:d1b48fc85280533ec31213532ad197b99129a3592876c24220dbfd4a488a6921","observation_id":"b11c2041-b0bf-469e-82be-6d8c178af1ea","resolution":{"observed_at":"2026-08-10T23:21:11.957553Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.960437Z","title":"Mixed- state entanglement and quantum error correction","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.960437Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:12a71c8ae3a5094314a11791de5d1f5e7598575ab6557e15bc63277df56e5948","observation_id":"1fce0dd6-a967-494b-8935-2d3046345b10","resolution":{"observed_at":"2026-08-10T23:21:11.960437Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.962953Z","title":"Entanglement- assisted capacity of a quantum channel and the reverse Shannon theorem","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.962953Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:88496b3989645199a7edbed86d72324745bbe18cb13da630261695478e481078","observation_id":"c52822db-2747-495c-9c94-b2e8fd1adf7f","resolution":{"observed_at":"2026-08-10T23:21:11.962953Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.965737Z","title":"Entanglement- Assisted Classical Capacity of Noisy Quantum Channels","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.965737Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:fff7aed40a53f98db0c20417450c90679d5735ba54a6e9176249fa9891b2cab3","observation_id":"226b5c51-46e1-4443-851d-9a1b510f240f","resolution":{"observed_at":"2026-08-10T23:21:11.965737Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.968338Z","title":"Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.968338Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:6696e8fa792da864dae003612d1cdf48018f861a9964af56ed6fa391e4fdcf7e","observation_id":"7f882505-0fa4-403c-b8a9-bf950d1435a4","resolution":{"observed_at":"2026-08-10T23:21:11.968338Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2018.84376","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.936581Z","title":"Fully Quantum Arbitrarily Varying Channels: Random Coding Capacity and Capacity Dichotomy","venue":null,"work_id":"5d7e5e78-2d4b-42e3-a086-3187ed5d778f","year":2018},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.971004Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:583c994df733b3bb7f05342003b79ec6a22074829ea26ed49b841c7b7c52bb08","observation_id":"50eb06d9-2135-4d45-8473-5325ca51abfc","resolution":{"observed_at":"2026-08-10T23:21:12.943729Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9810025","last_updated":"1999-12-02T20:02:02Z","snapshot_observed_at":"2026-07-07T07:28:17.582827Z","submitted_at":"1998-10-08T16:44:23Z","title":"Mixed state dense coding and its relation to entanglement measures","version":2},"cited_work":{"arxiv_id":"quant-ph/9810025","doi":null,"metadata_source":"pith","pith_arxiv_id":"quant-ph/9810025","snapshot_observed_at":"2026-08-10T23:21:12.868749Z","title":"Mixed state dense coding and its relation to entanglement measures","venue":"quant-ph","work_id":"2cd6360e-7b9e-4063-8e90-b157b3f17375","year":1998},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.973814Z"},"links":{"cited_paper":"/paper/quant-ph/9810025","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:c8d8743655db0ff9746546d078db908149a2eee5dae661e15ddd0cecc3429a87","observation_id":"e41f3a1e-671f-4b32-94c6-63823645a8f6","resolution":{"observed_at":"2026-08-10T23:21:12.872658Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.977100Z","title":"Classical information capacity of superdense coding","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.977100Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:17eef5bc8703027db231f876a635a4870d195cad15561f5ac768ad04020eb59c","observation_id":"98ff6767-75f8-4e52-bd4d-349b39efeecc","resolution":{"observed_at":"2026-08-10T23:21:11.977100Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.980360Z","title":"Toric codes and quantum doubles from two-body Hamiltonians","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.980360Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:74e44f0bc5e3b50c58ff297314d3efddee0585f000644c31088af3a84c5b2d03","observation_id":"89004682-16c0-46fd-a2bc-1f7999206c72","resolution":{"observed_at":"2026-08-10T23:21:11.980360Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.983608Z","title":"Quantum Low-Density Parity-Check Codes","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.983608Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:2d33573dbc36882962992bc9f4d33e4b47d728ccaceb4b09e694cc58d5c08f71","observation_id":"c35f9f55-29c7-47ae-ae53-b5dd8fa80dda","resolution":{"observed_at":"2026-08-10T23:21:11.983608Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.986881Z","title":"Single-qubit-gate error below 10−4 in a trapped ion","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.986881Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:d8f9910a630c6cae4f362795503cdb257e2ddc82e0f5d0c0b543e183da0f3e55","observation_id":"5b51bf97-4f53-4361-a3c6-dd044e861148","resolution":{"observed_at":"2026-08-10T23:21:11.986881Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.04076","last_updated":"2021-12-08T01:52:36Z","snapshot_observed_at":"2026-08-06T14:58:44.469820Z","submitted_at":"2021-12-08T01:52:36Z","title":"Experimental Characterization of Fault-Tolerant Circuits in Small-Scale Quantum Processors","version":1},"cited_work":{"arxiv_id":"2112.04076","doi":null,"metadata_source":"pith","pith_arxiv_id":"2112.04076","snapshot_observed_at":"2026-08-10T23:21:12.854511Z","title":"Experimental Characterization of Fault-Tolerant Circuits in Small-Scale Quantum Processors","venue":"quant-ph","work_id":"655082b0-9cc5-42b9-bd2a-557f3dd5d124","year":2021},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.990103Z"},"links":{"cited_paper":"/paper/2112.04076","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:924fc05af0de781cd330412cc61e25ea9dd4c55a468c0de50ee8e0a46d5294ea","observation_id":"94e97510-a0da-4560-abe1-4146f2c2c0d5","resolution":{"observed_at":"2026-08-10T23:21:12.858713Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.08078","last_updated":"2021-10-20T16:59:38Z","snapshot_observed_at":"2026-08-05T01:12:28.396641Z","submitted_at":"2021-10-15T13:09:54Z","title":"The Entanglement-Assisted Communication Capacity over Quantum Trajectories","version":2},"cited_work":{"arxiv_id":"2110.08078","doi":null,"metadata_source":"pith","pith_arxiv_id":"2110.08078","snapshot_observed_at":"2026-08-10T23:21:12.837576Z","title":"The Entanglement-Assisted Communication Capacity over Quantum Trajectories","venue":"quant-ph","work_id":"c6993847-08d7-4726-b5f8-d746cb5e3b08","year":2021},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.993884Z"},"links":{"cited_paper":"/paper/2110.08078","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:0d82a7ed7cee8c2dcf6b85fea8a4700677d194bc96265c0fdacc4567ce375c33","observation_id":"83f636e9-c767-4686-ad90-dbfcef5fa6fb","resolution":{"observed_at":"2026-08-10T23:21:12.841608Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:11.997893Z","title":"Exponential suppression of bit or phase flip errors with repetitive error correction","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:11.997893Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:d6f861128b1846f81eb548bace16fbc2ddaa25c0a7b04c273aa5f0ef85042963","observation_id":"fea6dd4e-4296-45df-a9bb-8e8f8f5a73ae","resolution":{"observed_at":"2026-08-10T23:21:11.997893Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.001616Z","title":"Co- herent Quantum Dynamics of a Superconducting Flux Qubit","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.001616Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:4d980a262549b605e20fa1200baf5109ece82880610a6126181e6ba3a35b32c5","observation_id":"98a7fc18-acdf-4cdf-9bc4-df5c741212a9","resolution":{"observed_at":"2026-08-10T23:21:12.001616Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.005157Z","title":"Fault-tolerant Coding for Quantum Communication","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.005157Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:16fe63a854e4a7470b1ab2a13cad39b880b738df507d7d700c2f38b4c5173215","observation_id":"bbdd9d52-8a69-4f01-a557-451c7f7f1df3","resolution":{"observed_at":"2026-08-10T23:21:12.005157Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.008633Z","title":"Strong Converse Exponents for a Quantum Channel Discrimination Problem and Quantum-Feedback-Assisted Communication","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.008633Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:0b87074395b8c00e30e6db86e3e41b8553c5f7bade60e0bc8f846f549d9b088f","observation_id":"1b2cb2d3-f628-48b9-895f-bf0c358cb7dc","resolution":{"observed_at":"2026-08-10T23:21:12.008633Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.011957Z","title":"Noise Thresholds for the [[4, 2, 2]]-concatenated Toric Code","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.011957Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:8015309e6421681eaef2fc788700a3313044e435a92481ab8b99b40ab84a0810","observation_id":"da02bcb2-2ed2-4a7f-a85b-b1da5eab4909","resolution":{"observed_at":"2026-08-10T23:21:12.011957Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.015687Z","title":"The private classical capacity and quantum capacity of a quantum channel","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.015687Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:c38eca519c7ef670805ca82cc2962770bae449d887dce50fc240aedb9bd18b7b","observation_id":"83ee59b2-10cf-407d-905a-571ecb121bc6","resolution":{"observed_at":"2026-08-10T23:21:12.015687Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.019129Z","title":"A Resource Framework for Quantum Shannon Theory","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.019129Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:2a541b267ee8609aed6e838da6eb1d9ff5c1237f9bf0971a203b6b32134fc123","observation_id":"910022c4-cf5f-405a-a5d2-c6a6c7c769e0","resolution":{"observed_at":"2026-08-10T23:21:12.019129Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.022905Z","title":"Distillation of secret key and entanglement from quantum states","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.022905Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:a8dbdea19cd314568b3a96f41a055cbecd6452e0272f8da313111f67afe0e642","observation_id":"7f2c1ea2-ebca-4ed5-b6d6-7f32ad8ff301","resolution":{"observed_at":"2026-08-10T23:21:12.022905Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.026445Z","title":"The Physical Implementation of Quantum Computation","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.026445Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:806f16c52bb5f435526864e7a5d3f8122ce485b6ead15c840cee405131251111","observation_id":"62f2f3ca-4549-4840-bd93-5e729c52f87b","resolution":{"observed_at":"2026-08-10T23:21:12.026445Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.030155Z","title":"Constant Overhead Quan- tum Fault-Tolerance with Quantum Expander Codes","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.030155Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:5020de62bbbdb9105728e45f0222f7e24cf1cc0c8288c65b58864c4b1f9eb07a","observation_id":"7336cf42-c4ff-4d88-abad-7533723b2c86","resolution":{"observed_at":"2026-08-10T23:21:12.030155Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.033749Z","title":"Cryptographic Distinguishability Measures for Quantum-Mechanical States","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.033749Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:82462b6e6302989289a1f9a6e935918d60fdf1e4d7dd2b4d87e1c737f63c80dc","observation_id":"318a7f61-4ee5-4ff4-88da-d7f7ff410421","resolution":{"observed_at":"2026-08-10T23:21:12.033749Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.037196Z","title":"Comments on Hastings’ Additivity Counterexamples","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.037196Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:5e9425ea45c04024347f0f472792cb045b3997dad61cf9de5e48e3e08e02b200","observation_id":"f2ef56f8-98d1-4674-8720-4f30bcf0b70b","resolution":{"observed_at":"2026-08-10T23:21:12.037196Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.040522Z","title":"Building logical qubits in a superconducting quantum computing system","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.040522Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:4dbc2c90d2383a17a0936f78b7cfe753c9d7a369a1bfa5b6d82702bbd9c3bd23","observation_id":"6e8b9248-1e0b-4761-b0a1-b36e2407e89b","resolution":{"observed_at":"2026-08-10T23:21:12.040522Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9705052","last_updated":"1997-05-28T23:51:29Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1997-05-28T23:51:29Z","title":"Stabilizer Codes and Quantum Error Correction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9705052","snapshot_observed_at":"2026-08-10T23:21:12.043792Z","title":"Stabilizer Codes and Quantum Error Correction","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.043792Z"},"links":{"cited_paper":"/paper/quant-ph/9705052","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:3235cb8bda6f5955d05dd2703bd5b4c48ef4dfc7d60bf5d3dd31a35b9c09948e","observation_id":"954fd45a-66d3-457c-a9a2-1508a0237b64","resolution":{"observed_at":"2026-08-10T23:21:12.043792Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0904.2557","last_updated":"2009-04-16T18:40:02Z","snapshot_observed_at":"2026-08-02T06:03:48.397877Z","submitted_at":"2009-04-16T18:40:02Z","title":"An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0904.2557","snapshot_observed_at":"2026-08-10T23:21:12.047449Z","title":"An Introduction to Quantum Error Correction and Fault- Tolerant Quantum Computation","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.047449Z"},"links":{"cited_paper":"/paper/0904.2557","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:c6747b6a9a0d58595b1ba5fc157da66f9d1cdb6d376feac16b33a05402d8c94c","observation_id":"9110605c-a36c-471a-b121-3883042b8003","resolution":{"observed_at":"2026-08-10T23:21:12.047449Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1310.2984","last_updated":"2014-07-22T19:44:54Z","snapshot_observed_at":"2026-08-10T07:11:14.081580Z","submitted_at":"2013-10-10T23:21:37Z","title":"Fault-Tolerant Quantum Computation with Constant Overhead","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1310.2984","snapshot_observed_at":"2026-08-10T23:21:12.051097Z","title":"Fault-Tolerant Quantum Computation with Constant Over- head","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.051097Z"},"links":{"cited_paper":"/paper/1310.2984","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:600fa46748af0ea971c4cfd56da3f74358f2b3d0ae6f81cfd93b8964fa4ac36e","observation_id":"7bff808e-8681-430c-a38e-cc15ef674054","resolution":{"observed_at":"2026-08-10T23:21:12.051097Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1610.03507","last_updated":"2016-10-14T15:46:47Z","snapshot_observed_at":"2026-07-06T05:14:15.269065Z","submitted_at":"2016-10-11T20:05:49Z","title":"Quantum fault tolerance in small experiments","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1610.03507","snapshot_observed_at":"2026-08-10T23:21:12.054470Z","title":"Quantum fault tolerance in small experiments","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.054470Z"},"links":{"cited_paper":"/paper/1610.03507","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:bade731c5d1a0415ac989ad05495c983ff4235d874e34893cc00c7812984d10a","observation_id":"8a825687-8bfa-4736-a3fb-1d894a871bb0","resolution":{"observed_at":"2026-08-10T23:21:12.054470Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.058512Z","title":"Demonstrating the viability of univer- sal quantum computation using teleportation and single-qubit operations","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.058512Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:34cfd1178ce11a6be311923349bfc84e03c43a97754458c30605f902c8d7e64d","observation_id":"67802dd2-5513-4d3e-abfa-7c2502f01f83","resolution":{"observed_at":"2026-08-10T23:21:12.058512Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.061680Z","title":"Codes for the quantum erasure chan- nel","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.061680Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:8006bbee1bd145dbf3a7499da9f5b3ed1d185b1a29db6d2510669eca7fe754f6","observation_id":"ca87b07e-2e45-4986-a3d3-54c06cd2efe3","resolution":{"observed_at":"2026-08-10T23:21:12.061680Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.065031Z","title":"Multiplicativity of Completely Bounded p-Norms Implies a Strong Converse for Entanglement-Assisted Capacity","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.065031Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:05a479d2689e18bf3130a9ab2c67244ac63188df5cfd3eaaccb9f0d022efce02","observation_id":"2604c60e-6594-421a-9e43-17615f639dca","resolution":{"observed_at":"2026-08-10T23:21:12.065031Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.068353Z","title":"Notes on the Matrix Exponential and Logarithm","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.068353Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:afd6fc832a059cb1e4d12afcc4e2b438619fdbf0480a20859ac4cba3ea871785","observation_id":"dcb9057f-75ee-4711-9cea-e5fa7f663fdb","resolution":{"observed_at":"2026-08-10T23:21:12.068353Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.071384Z","title":"Fault-Tolerant Logical Gates in the IBM Quantum Experience","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.071384Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:3b98016de3bf305ee5cb535215d21c9188c568ef9d310a7cdfc5aaac4f2d8c35","observation_id":"b13d2528-97fc-427f-9ebe-8b68ef35b10a","resolution":{"observed_at":"2026-08-10T23:21:12.071384Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.074227Z","title":"A Tight Lower Bound on the Classical Communi- cation Cost of Entanglement Dilution","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.074227Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:f80b3b62c7fb8402ce00c638b547dd43dddaf76c1917ff7937dd8eeba7a0657a","observation_id":"0baf659c-5785-4eae-b3e4-fa1f24beb3f1","resolution":{"observed_at":"2026-08-10T23:21:12.074227Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.076982Z","title":"Superadditivity of communication capacity using entangled inputs","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.076982Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:70b5c2ab641948c35b18c7066ba2bf03852a85311aed79c9eccf1709f42d5aa9","observation_id":"09b03406-9306-40a1-9875-1541ab7ddba0","resolution":{"observed_at":"2026-08-10T23:21:12.076982Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.079780Z","title":"Implementing a universal gate set on a logical qubit encoded in an oscillator","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.079780Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:56b8dd3d0fff7116755a16cc65f81272a45824892d606622f3bd3ee52cd06ee2","observation_id":"f29595db-25eb-4a77-9f21-1cccf41f1972","resolution":{"observed_at":"2026-08-10T23:21:12.079780Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.082786Z","title":"On Deriving the Inverse of a Sum of Matrices","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.082786Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:9e37dfbac817d92b8f7cd328c781f5c9409ac9290d89d3130a7037149acf6127","observation_id":"a1ff8e25-84d5-4291-aa41-d92a24c3c674","resolution":{"observed_at":"2026-08-10T23:21:12.082786Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.085740Z","title":"Sufficiency, KMS condition and relative entropy in von Neumann algebras","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.085740Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:e6c28d1c76e8bfc2b20c663188548dade3329de5710583b95528bfcf2b3215cc","observation_id":"69a527a5-daf2-4d4c-94e1-1fa159d3b5ee","resolution":{"observed_at":"2026-08-10T23:21:12.085740Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.088397Z","title":"Probability Inequalities for Sums of Bounded Random Vari- ables","venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.088397Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:f057a85e9ca11be2c781721a7f238ce63ddcbd439eace8131ae1390809a2d62e","observation_id":"d46efe27-2c93-4778-b47d-321be67e31ec","resolution":{"observed_at":"2026-08-10T23:21:12.088397Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.091092Z","title":"The capacity of the quantum channel with general signal states","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.091092Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:a4f7e4c6729f57f49570cfa3f6177ec90491712a83333062d89900a3383fab5e","observation_id":"12c5ead0-8104-4edc-ac71-2ce9ebd20d84","resolution":{"observed_at":"2026-08-10T23:21:12.091092Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.093877Z","title":"On entanglement-assisted classical capacity","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.093877Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:734abd14067378e2399761a4a779760e345e517c3676beee95f234eb9bc605fe","observation_id":"0c955243-5178-4f6b-8e08-f3f5ca74ca57","resolution":{"observed_at":"2026-08-10T23:21:12.093877Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.096646Z","title":"Information capacity of a quantum observable","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.096646Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:aa5d2d07e2848811e410a71190bdc099ca00dd594413231930ed7a295982d3d7","observation_id":"ad6aab2a-4200-47a1-a637-2381e9711695","resolution":{"observed_at":"2026-08-10T23:21:12.096646Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.099751Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.099751Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:b55b564c0ebf10c460451bbd84319ed557e7efbc897d8c2bc2dbd2678dcab51c","observation_id":"d164807c-9f60-462d-ae5e-b47fbedb4777","resolution":{"observed_at":"2026-08-10T23:21:12.099751Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.102941Z","title":"Classical Capacity of a Noiseless Quantum Channel Assisted by Noisy Entanglement","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.102941Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:4762008d937a2a17b591211aded9d6c76fb2d273af61088cd95cb133584e31bc","observation_id":"8def8a90-8125-4bc4-9541-b3c7c48471f4","resolution":{"observed_at":"2026-08-10T23:21:12.102941Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.106185Z","title":"Entanglement-Assisted Capacity of Quantum Multiple-Access Channels","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.106185Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:ad354c077ab06a00c1ec36c4165d02ed1058551e844be82711ba44430eee6a06","observation_id":"9fe610c9-85fb-457e-a57f-b30a6d55934f","resolution":{"observed_at":"2026-08-10T23:21:12.106185Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.109514Z","title":"Quantum Benchmarking on the [ [ 4 , 2 , 2 ] ] Code","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.109514Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:9241eddde18bb44f993f2d0fdab94d2d29b29a6dbcb8e3a2de045812f046db15","observation_id":"e3285799-4ab5-4de1-b78a-e66e73ce38a5","resolution":{"observed_at":"2026-08-10T23:21:12.109514Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.112807Z","title":"Quantum computing with trapped ions","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.112807Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:d6f8f3a0ec4fcb9f311809db13cf26942be16613cb331b64617d167f2d81feb3","observation_id":"51ae4dad-093d-4d0a-9688-73407400a899","resolution":{"observed_at":"2026-08-10T23:21:12.112807Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.116069Z","title":"IonQ Aria - Specifications","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.116069Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:835014f7f088e01df70b151d413cc2c2f0dd5475f5e96acd6c1126cd952473f2","observation_id":"a5e59bbc-66ea-41ce-8d75-7b84c25cbf11","resolution":{"observed_at":"2026-08-10T23:21:12.116069Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.119177Z","title":"IonQ Harmony - Specifications","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.119177Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:d776b2c332604febe713e137ed22b8133c780b1144d79e22619611ba23edbd3a","observation_id":"b2e00221-9f26-4a50-8f23-fa6b9626bf25","resolution":{"observed_at":"2026-08-10T23:21:12.119177Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.06143","last_updated":"2022-07-20T00:56:08Z","snapshot_observed_at":"2026-07-06T12:17:45.969453Z","submitted_at":"2021-12-12T04:00:45Z","title":"A Structured Method for Compilation of QAOA Circuits in Quantum Computing","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.06143","snapshot_observed_at":"2026-08-10T23:21:12.122635Z","title":"A Structured Method for Compilation of QAOA Circuits in Quantum Computing","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.122635Z"},"links":{"cited_paper":"/paper/2112.06143","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:ca6cb519693cd9c10dc1e201905313cbe243b5e9d6e3e0bda06bdb60da09de62","observation_id":"36a1bc01-90af-4b90-8dca-1911586ec6c9","resolution":{"observed_at":"2026-08-10T23:21:12.122635Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.125976Z","title":"Notes on the equivalence of norms","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.125976Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:55c86117b9dc2b298e171a08ff807fd0ac36758268a46690def446399b3c7960","observation_id":"6da49422-be13-407a-a1cf-c3136180f5c4","resolution":{"observed_at":"2026-08-10T23:21:12.125976Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0711.3636","last_updated":"2007-11-22T18:35:58Z","snapshot_observed_at":"2026-08-01T19:32:27.989285Z","submitted_at":"2007-11-22T18:35:58Z","title":"Computing Stabilized Norms for Quantum Operations via the Theory of Completely Bounded Maps","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0711.3636","snapshot_observed_at":"2026-08-10T23:21:12.129329Z","title":"Computing Stabilized Norms for Quantum Operations via the Theory of Completely Bounded Maps","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.129329Z"},"links":{"cited_paper":"/paper/0711.3636","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:3c7b5aadc1cb50eaa0321eb08af400c28b39268e8fdc0dfbda6c2bcd2bab93b6","observation_id":"b92d904c-48c1-4818-bb2c-6faddeb9b210","resolution":{"observed_at":"2026-08-10T23:21:12.129329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.578212Z","title":"Additivity for unital qubit channels","venue":null,"work_id":"5f1a018d-3d70-4584-9ade-461d34f8e1ef","year":2002},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.133001Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:dae7fd273e6a6eb23c5039f201b5ca984ad6c46a52c28882b3a784e0b0e57def","observation_id":"b6be4c3c-8d53-4722-8385-2a5c592a3015","resolution":{"observed_at":"2026-08-10T23:21:13.581959Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.566422Z","title":"Quantum computations: algorithms and error correction","venue":null,"work_id":"51719642-f408-4816-8efd-0c16806ba29c","year":1997},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.136500Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:1f2276a3d01cc46dfced0173d6508a5800334d1242e6081df3f9c4add109648d","observation_id":"4282857d-1075-4bca-b7f0-c86d72a39f55","resolution":{"observed_at":"2026-08-10T23:21:13.570616Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.555896Z","title":"Fault-tolerant quantum computation by anyons","venue":null,"work_id":"3c9e7a1b-cb87-4dbf-a421-7df6e92710b5","year":2003},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.140368Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:dbec78b32cd4c7db3b9a7a56cf0f7117ba663e2b5274629d106e5722da9a16ec","observation_id":"4bdab8be-1335-4dad-b92f-a4540e65a56f","resolution":{"observed_at":"2026-08-10T23:21:13.559579Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.144616Z","title":"Concatenated Quantum Codes","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.144616Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:13153be3ed70c57eed8c5191ff7a668dc23509e40a316be6aed5c26dde74f5ed","observation_id":"d342a32f-327f-43d5-b68f-b9b85900df6a","resolution":{"observed_at":"2026-08-10T23:21:12.144616Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:12.149047Z","title":"Resilient quantum computation: error models and thresholds","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.149047Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:6b68098282fb5d645cc2e7c7a9acb05815e11cb3975dbc011e319b301d847381","observation_id":"9434ff0d-a505-4f8c-a1d2-df3698756037","resolution":{"observed_at":"2026-08-10T23:21:12.149047Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.546168Z","title":"Tema con variazioni: quantum channel capacity","venue":null,"work_id":"361ff6b0-dbe3-48a6-aac1-0e2627f188ef","year":2004},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.153708Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:68e94f8e5aab7285acdb83cb6b6072708cf94401415a6f4e436069dad94c75c4","observation_id":"9d9d4319-f96d-493c-a3b2-a9e3628fa01b","resolution":{"observed_at":"2026-08-10T23:21:13.549580Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.535583Z","title":"Perfect Quantum Error Correcting Code","venue":null,"work_id":"76e2c3d9-0542-47fe-a1b3-a7642ce2cf7d","year":1996},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.157642Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:2d9f1dbc3bd40979da54f1703182248828f59cabdae6fe807e45b31fe54e8a3a","observation_id":"bc3d11c9-52f1-437d-8705-275de2edd644","resolution":{"observed_at":"2026-08-10T23:21:13.539227Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.525154Z","title":"Timing and Resource-Aware Mapping of Quantum Circuits to Superconducting Proces- sors","venue":null,"work_id":"b4b04029-fac0-4337-9292-e47b83734685","year":2022},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.161263Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:d261b03d01444f25ee353578f549b01171a346369a4a91c797f5cc774cf3e337","observation_id":"d627683d-25da-4d36-b6ff-ce2eb01f78cc","resolution":{"observed_at":"2026-08-10T23:21:13.528896Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.09390","last_updated":"2023-08-06T02:13:30Z","snapshot_observed_at":"2026-07-06T13:54:03.363007Z","submitted_at":"2022-09-20T00:08:28Z","title":"Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction","version":2},"cited_work":{"arxiv_id":"2209.09390","doi":null,"metadata_source":"pith","pith_arxiv_id":"2209.09390","snapshot_observed_at":"2026-08-10T23:21:12.518138Z","title":"Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction","venue":"quant-ph","work_id":"61765fa8-e935-4485-8b74-184f6e8897e0","year":2022},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.165354Z"},"links":{"cited_paper":"/paper/2209.09390","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:1f72c36cbfca8f7d6c1d9468088443f3a499b2dcc97d1a12809f1bca954e0b77","observation_id":"e54ceaab-90e8-46e3-832e-7aeec53d0636","resolution":{"observed_at":"2026-08-10T23:21:12.522293Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.514617Z","title":null,"venue":null,"work_id":"6b58fa8d-3c77-479e-9c22-389dbc7ad6a3","year":2002},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.168912Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:16ee4fb35b67548fbffeacd5dd5d92b2435a2c844dfa0146a80d6ed5eba0b5e7","observation_id":"ca6e1125-68ae-4f43-9e52-c1e4134a5450","resolution":{"observed_at":"2026-08-10T23:21:13.518679Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.504739Z","title":"Fault-tolerant quantum error detection","venue":null,"work_id":"f6508856-62da-444f-9d66-4f4eb5fdd3c3","year":2017},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.171917Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:b00e8b32c553eea37d2b06de9256163412d3847fbc2d242241406531c4ab773c","observation_id":"4a82a6d8-541b-4bfd-9540-ad613b2410bc","resolution":{"observed_at":"2026-08-10T23:21:13.508406Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.494898Z","title":"Capacity of the noisy quantum channel","venue":null,"work_id":"0f8a1cd5-14f9-44da-a292-76d18b2404cb","year":1997},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.174835Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:1f8ed15fb7bcc28b7fe2d19b45975ab0ca0db5189091f07ed93b16eb612942e0","observation_id":"48231541-e8a8-4a07-80ba-ed476bff2992","resolution":{"observed_at":"2026-08-10T23:21:13.498452Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.484563Z","title":"Classical Communication Cost of Entanglement Manipulation: Is Entanglement an Interconvertible Resource?","venue":null,"work_id":"51b344fd-d0ea-498d-ac92-5f16a501c6d0","year":1999},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.177669Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:d8d9276ef540cc146106c48c6a6b4325c39764d06faa9f8bcb0d2d2cc88b7399","observation_id":"15e9c525-adc3-419d-b41d-f72715a0b5e4","resolution":{"observed_at":"2026-08-10T23:21:13.488374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.474392Z","title":"Basic circuit compilation techniques for an ion-trap quantum machine","venue":null,"work_id":"77d22e14-2589-4a58-8acd-5150a1865c73","year":2017},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.180496Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:5f7d0f68716e962fdd8dcc68991f5a4f728d10839db01b71e21d4a08258e67b6","observation_id":"052b716d-de47-4de3-8ba8-cdddf22a4f99","resolution":{"observed_at":"2026-08-10T23:21:13.478087Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.464373Z","title":"Long-distance quantum communication over noisy networks without long-time quantum memory","venue":null,"work_id":"3e055389-b5d3-454d-8dc4-fdfdbafb79b4","year":2014},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.183660Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:fc58be4bd0889300db3990e28e2aaf99dcaf8b1dbda61257c400b8898cbb3213","observation_id":"cd101910-866b-462d-bbc3-2d370e4be1de","resolution":{"observed_at":"2026-08-10T23:21:13.467995Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.454356Z","title":"Decoherence of quantum superpositions through coupling to engineered reservoirs","venue":null,"work_id":"6cc3663c-3a9a-4f98-a8fd-cf431a776c09","year":2000},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.187120Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:26ea2a933be07bc9f9ab7da83cad4c2dfbbc6df2c144ece72e8c370c81c2bf76","observation_id":"2b326536-6f21-46e7-80dd-e168726e7779","resolution":{"observed_at":"2026-08-10T23:21:13.457926Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.444433Z","title":"Pauli diagonal channels constant on axes","venue":null,"work_id":"9253b13d-0ed2-4028-8fd3-71f741e77256","year":2007},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.190668Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:db2b48b95a02c92e97dbb795e424332e9c214f5fe1e2600f314796eebde7c891","observation_id":"51ce162c-185b-418e-8752-46c8b953baf0","resolution":{"observed_at":"2026-08-10T23:21:13.448041Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.434078Z","title":"Nicolaidis","venue":null,"work_id":"a8311f85-95b3-46fe-a873-f76ce8a99062","year":2011},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.194027Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:23ddda5a4c7120338de1b435d12f8e60bf58cc4a76251113c10585e37cf389fe","observation_id":"82461b73-75a8-4231-a85e-2e1dba13cd5d","resolution":{"observed_at":"2026-08-10T23:21:13.437953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.423951Z","title":null,"venue":null,"work_id":"3dd26b30-524c-4a37-a89a-7baa290c986c","year":2010},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.197443Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:8b279c7d8a1cccc1cd2c47f2c47b82dc7fb483d66fb5ca87cbe62b0833b2fc4e","observation_id":"d1a8f0eb-b8d6-4320-84d7-1f5931abfad6","resolution":{"observed_at":"2026-08-10T23:21:13.427419Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1602.04768","last_updated":"2016-02-15T18:56:23Z","snapshot_observed_at":"2026-07-06T04:46:14.215967Z","submitted_at":"2016-02-15T18:56:23Z","title":"Demonstrating Quantum Error Correction that Extends the Lifetime of Quantum Information","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1602.04768","snapshot_observed_at":"2026-08-10T23:21:12.200800Z","title":"Demonstrating Quantum Error Correction that Extends the Lifetime of Quantum Information","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.200800Z"},"links":{"cited_paper":"/paper/1602.04768","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:a7b2e309f98b9e18b6bdb2e38cd0b9da7a0a3d42d251eba265de4fdadd9b4053","observation_id":"000a4153-4bfe-4f71-a4d0-6c043e404dc1","resolution":{"observed_at":"2026-08-10T23:21:12.200800Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1106.2190","last_updated":"2013-04-12T19:44:10Z","snapshot_observed_at":"2026-07-06T02:29:08.520478Z","submitted_at":"2011-06-11T00:52:01Z","title":"Fault-tolerant ancilla preparation and noise threshold lower bounds for the 23-qubit Golay code","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1106.2190","snapshot_observed_at":"2026-08-10T23:21:12.204559Z","title":"Fault-tolerant ancilla preparation and noise threshold lower bounds for the 23-qubit Golay code","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.204559Z"},"links":{"cited_paper":"/paper/1106.2190","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:3c216921a46c9c47ac19aac2573cc0cca735462b694d9ad671ecedcb6222a8d5","observation_id":"76c58433-953c-4999-9137-d408f526f5af","resolution":{"observed_at":"2026-08-10T23:21:12.204559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.413792Z","title":"Capacities of the covariant Pauli channel","venue":null,"work_id":"03b029e8-b5a8-4821-8364-f8a41bb3a184","year":2022},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.208406Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:bca7a2a1cd571e7d4c75ba97f1db473ed70a4cb3b7ce20b15b13c98f523648a1","observation_id":"50c1d3f6-3d03-43f3-9a99-383ae116915b","resolution":{"observed_at":"2026-08-10T23:21:13.417457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9712048","last_updated":"1997-12-19T22:58:18Z","snapshot_observed_at":"2026-08-04T17:33:05.754751Z","submitted_at":"1997-12-19T22:58:18Z","title":"Fault-tolerant quantum computation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9712048","snapshot_observed_at":"2026-08-10T23:21:12.211842Z","title":"Fault-tolerant quantum computation","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.211842Z"},"links":{"cited_paper":"/paper/quant-ph/9712048","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:28e9aa8efbd8a7086bd985d04da78d421e0fea004ffecd5c83bd631a31f508ef","observation_id":"4aa7cd7b-f838-4ae4-b62b-31212c42ed9c","resolution":{"observed_at":"2026-08-10T23:21:12.211842Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.403169Z","title":"Quantum Computing in the NISQ era and beyond","venue":null,"work_id":"be5a8081-39c1-44e6-bc39-86088ceeac2b","year":2018},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.216260Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:340ef31604903581d63f09ea2790d0e2c5a3a1872436ab523945ef022a2fb66b","observation_id":"d607e714-dac3-41bc-830a-aee62dab2076","resolution":{"observed_at":"2026-08-10T23:21:13.406727Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.392331Z","title":"Functional inequalities in quantum information theory","venue":null,"work_id":"583da8ce-7165-432f-b6c2-9943aa4c61e5","year":2019},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.220777Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:73d4aff14220fb6857f017b4d6d2d1c239d1654f2cd16ec0852c3204db65d26e","observation_id":"83eb3cb3-04b2-4c08-a741-52b13a41fdcd","resolution":{"observed_at":"2026-08-10T23:21:13.396199Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0101003","last_updated":"2001-11-03T02:49:50Z","snapshot_observed_at":"2026-08-09T05:36:46.612036Z","submitted_at":"2000-12-31T22:34:10Z","title":"An Analysis of Completely-Positive Trace-Preserving Maps on 2x2 Matrices","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0101003","snapshot_observed_at":"2026-08-10T23:21:12.225052Z","title":"An Analysis of Completely-Positive Trace-Preserving Maps on 2x2 Matrices","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.225052Z"},"links":{"cited_paper":"/paper/quant-ph/0101003","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:c19c49c2ebc519c468cfc44a3c50251bc3f01ce7ac5137ce8c3c08cd8e5462b0","observation_id":"b13fc84a-c8d8-4660-a47c-c3d63627b287","resolution":{"observed_at":"2026-08-10T23:21:12.225052Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1503.07118","last_updated":"2015-04-13T12:46:13Z","snapshot_observed_at":"2026-07-06T04:12:59.603420Z","submitted_at":"2015-03-24T17:45:30Z","title":"On Reverse Pinsker Inequalities","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1503.07118","snapshot_observed_at":"2026-08-10T23:21:12.228918Z","title":"On Reverse Pinsker Inequalities","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.228918Z"},"links":{"cited_paper":"/paper/1503.07118","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:7de421e4346ff0746e66f382635a2912b2a578aa421706e585709d37ca2bee38","observation_id":"9772f3b7-d858-404c-97aa-2da37e33b5e6","resolution":{"observed_at":"2026-08-10T23:21:12.228918Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.382560Z","title":"Quantum decoherence","venue":null,"work_id":"91851fd4-4b95-40e4-b51f-1ae61a5eee31","year":2019},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.232762Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:ef7166f1e1889978c7947cc410ee14d01d6b2a09e38e70d1e7b676345d08d2d1","observation_id":"ff31d142-1997-45e4-a492-85608a56623d","resolution":{"observed_at":"2026-08-10T23:21:13.385849Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.373015Z","title":"Quantum coding","venue":null,"work_id":"02850590-0fde-4a13-8e2a-6faccd36943e","year":1995},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.236411Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:e319ea690ce91c1587b97469da39d4701b477020150c62f1c6cb3c8f390c4301","observation_id":"3481149f-9760-4d2d-a4e4-5c9d00027b1d","resolution":{"observed_at":"2026-08-10T23:21:13.376322Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.363520Z","title":"Sending classical information via noisy quantum channels","venue":null,"work_id":"d7a7261c-6c92-4942-8ab7-28e628038293","year":1997},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.239597Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:de765b35d9312eeed499b3cc0b584b666970c63dcdd064d5d42105fbbda26947","observation_id":"7e818ed4-05a9-4577-af28-f54c2e1234f2","resolution":{"observed_at":"2026-08-10T23:21:13.366981Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.352895Z","title":"Optimal signal ensembles","venue":null,"work_id":"b9843d37-1409-4120-b767-7444c6977326","year":2001},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.243052Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:74d3cdeaac938bedddb2db81c2d7f2a939c4423acbcb523d9fda27530f169493","observation_id":"d896e2a6-c8d0-4866-8c05-7a225d3c526d","resolution":{"observed_at":"2026-08-10T23:21:13.356834Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.342444Z","title":"A mathematical theory of communication","venue":null,"work_id":"f9525e13-7740-42c6-b5cb-eb09adfb903d","year":1948},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.246866Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:c5b954cca9e4691dbce0727b4f8fdeefad8fb1c92b0790c074cf2e73a6ae841b","observation_id":"91913173-c56c-48e3-b443-6024652676f9","resolution":{"observed_at":"2026-08-10T23:21:13.346109Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.330377Z","title":"Conditions for Coincidence of the Classical Capacity and Entanglement-Assisted Capacity of a Quantum Channel","venue":null,"work_id":"c3a37607-4cbe-4dd0-acc0-e92e50165dc8","year":2012},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.250793Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:56eacae26b858f550fef20679b2d86e41aa4e18283c22460d03a1c6f5bf9d10f","observation_id":"cb053f36-1d9a-4bc1-b664-752a99295b82","resolution":{"observed_at":"2026-08-10T23:21:13.334854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:21:13.319276Z","title":"Tight uniform continuity bounds for the quantum conditional mutual information, for the Holevo quantity, and for capacities of quantum channels","venue":null,"work_id":"81df72d1-e71d-4cbf-a972-d2311d0c3ec0","year":2017},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.254769Z"},"links":{"citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:30cb0a94d0b65d793e14700836b96e8ee7879f88d7b2f48aa883f63f699ca912","observation_id":"d82cdb44-0aa7-4591-aa8c-ce10006084d4","resolution":{"observed_at":"2026-08-10T23:21:13.323418Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2108.02079","last_updated":"2021-08-04T14:24:14Z","snapshot_observed_at":"2026-07-06T11:35:32.444551Z","submitted_at":"2021-08-04T14:24:14Z","title":"Towards Demonstrating Fault Tolerance in Small Circuits Using Bacon-Shor Codes","version":1},"cited_work":{"arxiv_id":"2108.02079","doi":null,"metadata_source":"pith","pith_arxiv_id":"2108.02079","snapshot_observed_at":"2026-08-10T23:21:12.454580Z","title":"Towards Demonstrating Fault Tolerance in Small Circuits Using Bacon-Shor Codes","venue":"quant-ph","work_id":"ad76678c-ca26-449e-83ff-a5a338fd54a9","year":2021},"citing_paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-10T23:21:12.258756Z"},"links":{"cited_paper":"/paper/2108.02079","citing_paper":"/paper/2412.20736"},"observation_digest":"sha256:343389a7828d9d9a37166f717d98b133ad1fd439fe1747f90ac79fd70caa12fa","observation_id":"66eb50b3-3a1c-413e-b343-905e3606d8e5","resolution":{"observed_at":"2026-08-10T23:21:12.458871Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.20736","last_updated":"2024-12-30T06:18:44Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-11T06:37:49.129122Z","submitted_at":"2024-12-30T06:18:44Z","title":"Quantum communication and fault-tolerance"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":69,"verified_exact":6,"verified_fuzzy":24},"total_outbound_references":129},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 100 of 129 outbound references and 0 inbound Pith citation observations for arXiv:2412.20736."}