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Paper Citation Record · LEDGER

Quantum error correction below the surface code threshold

As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 35 inbound Pith citation observations for arXiv:2408.13687.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2408.13687 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 35 of 35 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:47:38.400665Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

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External citation measurements

32
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation dbb442d0-9d8b-4b3c-813a-ed49ca2a635b · inbound

Feasibility of performing quantum chemistry calculations on quantum computers cites this paper.

Feasibility of performing quantum chemistry calculations on quantum computers Quantum error correction below the surface code threshold

Reference 72

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arxiv_id, observed 2026-05-24T08:09:10.232942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T08:08:42.192401Z digest=sha256:63f91aa75a39d161086d7da8611b68bab8509dd7e657c5b982fa609ffb82f2f3

Observation ebf31940-dee1-4ff8-80e7-1556e10c0c12 · inbound

Demonstration of logical qubits and repeated error correction with better-than-physical error rates cites this paper.

Demonstration of logical qubits and repeated error correction with better-than-physical error rates Quantum error correction below the surface code threshold

Reference 60

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arxiv_id, observed 2026-05-16T23:13:35.898326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-16T23:13:35.808345Z digest=sha256:d85e7daeaee9409d3163e557bec9bd69dfa17fe176b66795f9626852ed8c2f87

Observation 0231dbcf-44d0-452a-a54b-296f19902da3 · inbound

Managing Classical Processing Requirements for Quantum Error Correction cites this paper.

Managing Classical Processing Requirements for Quantum Error Correction Quantum error correction below the surface code threshold

Reference 1

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arxiv_id, observed 2026-05-24T00:08:38.874616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T00:08:21.027779Z digest=sha256:aa0ee4df30cf87f3d1d6e721754f37f741e3fb5b0dbbcf16770fa478b574d249

Observation cb3e3d89-5291-43c9-a0ac-41f4ad326dc6 · inbound

Quantum memory based on concatenating surface codes and quantum Hamming codes cites this paper.

Quantum memory based on concatenating surface codes and quantum Hamming codes Quantum error correction below the surface code threshold

Reference 39

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arxiv_id, observed 2026-05-23T22:38:32.347003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T22:37:48.919052Z digest=sha256:e417509cd67bb29b4153510a40e64ee9c3aad866b7ef83cbd667c0632b1ac372

Observation b8fa2f96-2b7f-41b2-888d-d2c8f25c8433 · inbound

Synchronizable hybrid subsystem codes cites this paper.

Synchronizable hybrid subsystem codes Quantum error correction below the surface code threshold

Reference 24

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metadata mismatch
arxiv_id, observed 2026-05-23T20:33:25.675572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T20:31:02.856516Z digest=sha256:6b5109326a4513ff7c5936fa7e56fb14fadc93e3f10028bbc0e70f72b39ce99d

Observation 6db52106-9d6f-40eb-88d2-527ad2fba24a · inbound

Wire Codes cites this paper.

Wire Codes Quantum error correction below the surface code threshold

Reference 26

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verified exact
arxiv_id, observed 2026-05-23T19:15:47.645347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T19:09:00.776743Z digest=sha256:a466db7c8ff4e559a4cdb84b9d8740be8ac5316854ebc2d03434304a35440480

Observation 96f5838c-a375-4369-a9d7-8c1f64613d4d · inbound

Soft information decoding with superconducting qubits cites this paper.

Soft information decoding with superconducting qubits Quantum error correction below the surface code threshold

Reference 7

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arxiv_id, observed 2026-05-23T16:53:12.874943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T16:51:49.757465Z digest=sha256:8991fa9a0bbff1a008a157ce46b36a937902bd50c78675f00e198cd47f95c6d6

Observation 5b7e719a-913c-479e-86c4-e12d09ce9bdb · inbound

Magic State Injection on IBM Quantum Processors Above the Distillation Threshold cites this paper.

Magic State Injection on IBM Quantum Processors Above the Distillation Threshold Quantum error correction below the surface code threshold

Reference 57

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arxiv_id, observed 2026-05-23T08:02:43.727278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:58:58.948256Z digest=sha256:4f6f68154afe139e477afbd96f274479a5c21787077edb116ea423c2537052d9

Observation 8d8f73e3-dbc4-403b-8709-e3cd11f443c7 · inbound

State preparation with parallel-sequential circuits cites this paper.

State preparation with parallel-sequential circuits Quantum error correction below the surface code threshold

Reference 40

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arxiv_id, observed 2026-05-22T23:25:12.455866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-22T23:22:41.171434Z digest=sha256:07603cba42c8f6b9342698d63777ffe0d55bf9af5211052e0ce4075e66802a4c

Observation e432e207-87b7-4065-9aaa-7db54a64ec50 · inbound

Direct entanglement ansatz learning (DEAL) with ZNE on error-prone superconducting qubits cites this paper.

Direct entanglement ansatz learning (DEAL) with ZNE on error-prone superconducting qubits Quantum error correction below the surface code threshold

Reference 38

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arxiv_id, observed 2026-05-22T21:45:12.403521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-22T21:44:29.434178Z digest=sha256:b23b70fefc2198fd77eb5b3e29d398abc57eeab7e0dfffe14750b46cb7991196

Observation 4fbc2cbe-b531-4367-859e-68bdd301c329 · inbound

Quantum simulation of out-of-equilibrium dynamics in gauge theories cites this paper.

Quantum simulation of out-of-equilibrium dynamics in gauge theories Quantum error correction below the surface code threshold

Reference 1

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arxiv_id, observed 2026-05-17T19:51:27.056684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-17T19:51:26.957898Z digest=sha256:5fc8f20041b00a3548458305d97cb1712989110fbcb15c334f48ffa6ec72ff76

Observation d4750bbb-186f-49ec-b6ea-e2268a984c75 · inbound

Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs cites this paper.

Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs Quantum error correction below the surface code threshold

Reference 13

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no resolver link, observed 2026-08-04T21:47:38.400665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:47:38.400665Z digest=sha256:9f9e6b558c8dd22feeb127e93cb3cc6b432b1130e8af8f2adf7ba342c27a3d45

Observation 242f2ad9-ecdb-45dd-907b-686d038f077e · inbound

Relativistic Path-Integral Origin of the Dirac Equation, Quantum Collapse, Decoherence and Non-Hermitian Phenomena cites this paper.

Relativistic Path-Integral Origin of the Dirac Equation, Quantum Collapse, Decoherence and Non-Hermitian Phenomena Quantum error correction below the surface code threshold

Reference 10

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arxiv_id, observed 2026-05-18T16:21:36.918559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-18T16:17:51.157824Z digest=sha256:0b0e883ac0a1ed0e4fb397c5c2743e6d6b0d355f0271f664eac81b345b62af59

Observation 40bb10ee-825d-4e74-a2bb-2e60118440c6 · inbound

Mind the gaps: The fraught road to quantum advantage cites this paper.

Mind the gaps: The fraught road to quantum advantage Quantum error correction below the surface code threshold

Reference 24

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arxiv_id, observed 2026-05-18T01:51:39.818574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-18T01:51:39.522057Z digest=sha256:ac5340bfa5897c57c379883742e8284e2986613b0c98f115e81cc57bbeead84a

Observation f6b712c4-a850-49fb-8604-0a9dde0810d7 · inbound

Mind the gaps: The fraught road to quantum advantage cites this paper.

Mind the gaps: The fraught road to quantum advantage Quantum error correction below the surface code threshold

Reference 24

Resolution
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arxiv_id, observed 2026-05-22T13:11:34.816235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-22T13:08:57.425184Z digest=sha256:b50206e4fc0fe8747bbdc118d117937bc3207dfa4c6e36279a2d18237a1ace68

Observation 0ead76db-3016-4108-a3e4-0bd220cd8cb2 · inbound

Discovering autonomous quantum error correction via deep reinforcement learning cites this paper.

Discovering autonomous quantum error correction via deep reinforcement learning Quantum error correction below the surface code threshold

Reference 11

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unresolved
no resolver link, observed 2026-08-03T22:06:46.046016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:06:46.046016Z digest=sha256:7e0b124ba9b9110bd2a7e677c67b32b4743288d350e584e11ab49cd115f69678

Observation 0eb55708-0f34-4ba2-ac1e-eee1ab45d77d · inbound

Sdim: A Qudit Stabilizer Simulator cites this paper.

Sdim: A Qudit Stabilizer Simulator Quantum error correction below the surface code threshold

Reference 2

Resolution
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arxiv_id, observed 2026-05-17T21:40:18.235206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-17T21:36:09.018986Z digest=sha256:d049352f80b52d967ce6fc796f985354b814008f0d062f11c9fe00ca3919490f

Observation ca6d7d0f-80cf-44dd-9d1e-41e36ec6bd87 · inbound

Quantum Error Correction Codes for Truncated SU(2) Lattice Gauge Theories cites this paper.

Quantum Error Correction Codes for Truncated SU(2) Lattice Gauge Theories Quantum error correction below the surface code threshold

Reference 60

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no resolver link, observed 2026-08-03T21:56:51.174717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:56:51.174717Z digest=sha256:2adf1f598afd70df367887f1365b15f40e70d61c13468d7d48e811139caac770

Observation 2784ac45-c0db-462f-9b43-ed4369bab5d0 · inbound

Syndrome aware mitigation of logical errors cites this paper.

Syndrome aware mitigation of logical errors Quantum error correction below the surface code threshold

Reference 35

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no resolver link, observed 2026-08-03T13:37:52.644138Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:37:52.644138Z digest=sha256:0ddbbf38e5974e8fb92b766482ff6b7f28327435623c967c07f1ada9f323c79a

Observation 94146913-923b-4085-945a-36ecb0773608 · inbound

Single-Period Floquet Control of Bosonic Codes with Quantum Lattice Gates cites this paper.

Single-Period Floquet Control of Bosonic Codes with Quantum Lattice Gates Quantum error correction below the surface code threshold

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T10:52:51.484243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T10:52:51.484243Z digest=sha256:2ba49c65de13f93e3b84b8044fce5ccceb40fc5898cfe9e6265431c60fa44448

Observation 8c691f7c-232c-4c1e-bbb0-70aa9ba5befe · inbound

The Pinnacle Architecture: Reducing the cost of breaking RSA-2048 to 100 000 physical qubits using quantum LDPC codes cites this paper.

The Pinnacle Architecture: Reducing the cost of breaking RSA-2048 to 100 000 physical qubits using quantum LDPC codes Quantum error correction below the surface code threshold

Reference 47

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verified exact
arxiv_id, observed 2026-05-09T03:06:06.521132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-16T05:27:23.269152Z digest=sha256:bd4b405fd7f80ed501e3b0947c3dcce43fc8cf3384e67bfc6119b8a7c2aadc4f

Observation ba016522-b3dd-4f8d-b42b-d729d31b5de6 · inbound

Proof of a finite threshold for the union-find decoder cites this paper.

Proof of a finite threshold for the union-find decoder Quantum error correction below the surface code threshold

Reference 32

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verified exact
arxiv_id, observed 2026-05-15T20:16:34.852718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T20:12:10.149451Z digest=sha256:bc74c5101610ecbc24eb617cdbe224c9611f9bc168aaec0d535ba15b47b6d780

Observation 6a1e4823-bfdc-4a26-be68-b177f95dccf8 · inbound

Efficient Noisy Quantum State and Process Tomography cites this paper.

Efficient Noisy Quantum State and Process Tomography Quantum error correction below the surface code threshold

Reference 6

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unresolved
no resolver link, observed 2026-08-02T19:44:52.676929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:44:52.676929Z digest=sha256:325dfb87f9b66e3e2d2bc75d8b825d8a03f5b11d92f94d8e35e73fb4a88b4eb4

Observation 06788d47-41d6-4207-8065-6c3bc3ea23df · inbound

Equivalence Checking of Quantum Circuits via Path-Sum and Weighted Model Counting cites this paper.

Equivalence Checking of Quantum Circuits via Path-Sum and Weighted Model Counting Quantum error correction below the surface code threshold

Reference 2

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arxiv_id, observed 2026-05-11T23:21:58.548471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-07T17:08:35.362584Z digest=sha256:c84f6326586ab8ec57e29433f6304bbd2d378644a38eba5e70d75944cb77812d

Observation ea6101ad-af6a-464a-b623-0a14c849aaa7 · inbound

Block Permutation Routing on Ramanujan Hypergraphs for Fault-Tolerant Quantum Computing cites this paper.

Block Permutation Routing on Ramanujan Hypergraphs for Fault-Tolerant Quantum Computing Quantum error correction below the surface code threshold

Reference 4

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verified exact
arxiv_id, observed 2026-05-11T18:16:09.226972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-08T16:24:08.775000Z digest=sha256:adf297d0b6e5feea006d550763472067e57f6caeeb7150afea4720612a7f07b2

Observation 7bf2c1cb-3778-4d2d-9041-7b6681982bf8 · inbound

Block Permutation Routing on Ramanujan Hypergraphs for Fault-Tolerant Quantum Computing cites this paper.

Block Permutation Routing on Ramanujan Hypergraphs for Fault-Tolerant Quantum Computing Quantum error correction below the surface code threshold

Reference 4

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verified exact
arxiv_id, observed 2026-05-20T23:29:12.739613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-20T23:28:02.468538Z digest=sha256:eae8c59090c3c050a3d6641e55e0036faee52f51b4fec952348a7bc9e36c2fdc

Observation bb85d612-0ac2-487b-9d1c-4720152c92ad · inbound

Benchmarking a machine-learning differential equations solver on a neutral-atom logical processor cites this paper.

Benchmarking a machine-learning differential equations solver on a neutral-atom logical processor Quantum error correction below the surface code threshold

Reference 3

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verified exact
arxiv_id, observed 2026-05-21T04:39:34.858111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-21T04:39:16.463390Z digest=sha256:bce5abd610a0b6eb0308268e0353c86a9937a4e050d66fa0af32cda96b67e5c8

Observation 106c77c6-66ed-4a5c-9952-7e71f94d7cb2 · inbound

Performance Limits of Fault-Tolerant Quantum Error Correction Schemes cites this paper.

Performance Limits of Fault-Tolerant Quantum Error Correction Schemes Quantum error correction below the surface code threshold

Reference 31

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arxiv_id, observed 2026-06-30T13:24:40.219254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-30T13:18:46.225611Z digest=sha256:f26e582f773fc56423ddeb5ef618584269e32b81c508dcb749652a468642bacb

Observation 8ac86ee5-30cb-4bfd-8247-29cba07ea200 · inbound

Algebra of Bivariate-Bicycle Surface Codes cites this paper.

Algebra of Bivariate-Bicycle Surface Codes Quantum error correction below the surface code threshold

Reference 17

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verified exact
arxiv_id, observed 2026-07-02T23:17:28.430623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-27T18:17:06.305544Z digest=sha256:ecaea3f5b3f00192510e404f6ae88109e079dfe2e1fc88ac7763cc1d66cd5d22

Observation 6c572ecc-fdf3-448b-852c-15661819f32b · inbound

Measurement-Free Toric-Code Memory in Array Globally Controlled Rydberg Array cites this paper.

Measurement-Free Toric-Code Memory in Array Globally Controlled Rydberg Array Quantum error correction below the surface code threshold

Reference 48

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verified exact
arxiv_id, observed 2026-07-03T10:58:03.064230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-27T09:45:39.007132Z digest=sha256:7f5ccd91b9ebf8aac063d5dfa0e5a345f4d54b5311df7f39ad21d174115d8928

Observation e0b32b38-79c7-48ea-8937-0284cecbaec6 · inbound

An Analysis of Speculative Window Decoders for Quantum Error Correction cites this paper.

An Analysis of Speculative Window Decoders for Quantum Error Correction Quantum error correction below the surface code threshold

Reference 3

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T16:29:56.939104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-26T00:40:10.864053Z digest=sha256:33c5d0a7616c5cc9ed02a2904eaf3aa46c644bcc5bda94ed24ebf7a6a24c5e95

Observation a484b781-bde9-4beb-8572-db6de641ffde · inbound

The verifier side of speculative window decoding: a predictability bracket, a machine-checked blast-radius bound, and a decoder-agnostic recover loop cites this paper.

The verifier side of speculative window decoding: a predictability bracket, a machine-checked blast-radius bound, and a decoder-agnostic recover loop Quantum error correction below the surface code threshold

Reference 2

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no resolver link, observed 2026-08-02T08:17:15.272693Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:17:15.272693Z digest=sha256:ac3c6ac4ddc2c19689a3bd3e1a662bc230a2085308e204598e6374a8da09f493

Observation 90f68d47-f340-43cf-8c86-3deb6ccbc1e2 · inbound

Realizing Error Suppression in Partially Fault-Tolerant Quantum Simulations with IBM Quantum Computers cites this paper.

Realizing Error Suppression in Partially Fault-Tolerant Quantum Simulations with IBM Quantum Computers Quantum error correction below the surface code threshold

Reference 18

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unresolved
no resolver link, observed 2026-07-31T05:16:55.423615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T05:16:55.423615Z digest=sha256:30a91d81dfb1c88a0a0fa3c2058a6b76497da21ce55b35c3a6f675c9e54feca1

Observation 11bf02bf-d882-400c-93c3-8926c12510a9 · inbound

Efficient Lindbladian Learning from Constant-Time Pauli Responses cites this paper.

Efficient Lindbladian Learning from Constant-Time Pauli Responses Quantum error correction below the surface code threshold

Reference 10

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unresolved
no resolver link, observed 2026-08-01T01:39:09.654412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T01:39:09.654412Z digest=sha256:dd9e7fad52877096c37afa6d9f79bfce68fb32ef08c96103bd75f73bff5c2261

Observation 93a2d013-4867-4c3e-a60d-705b9add44c2 · inbound

Arbitrary-Distance Quantum Error Correction with Gauss's Law for $\mathbb Z_2$ Lattice Gauge Theory cites this paper.

Arbitrary-Distance Quantum Error Correction with Gauss's Law for $\mathbb Z_2$ Lattice Gauge Theory Quantum error correction below the surface code threshold

Reference 49

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no resolver link, observed 2026-08-04T01:17:56.315770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T01:17:56.315770Z digest=sha256:3abeb8497ef8dee60cc8175558e9ce13cf6d33da3c90ef6d3876980e5f1b009d