{"as_of":"2026-08-14T01:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:db9820ac67242f7f673f727bbf7d457aeb797ba4757e59bf24d1b7be45abbf38","coverage":[{"denominator":61,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":61,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T12:17:44.343252Z","state":"measured"},{"denominator":61,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":61,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2412.14466/citation-record","integrity":"/paper/2412.14466/integrity","json":"/paper/2412.14466/citation-record.json","paper":"/paper/2412.14466"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:17:45.354917Z","title":"(A2) When N1 ≫ 1, we use the normal approximation of the binomial distribution N1 m for Eq","venue":null,"work_id":"0c2fef90-1ae2-4c06-a744-476aee588b51","year":null},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.016146Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:5e5ca35077934d3f05709cdf3ff3c67ca9d18ea6b166757d59a061326d0e0a80","observation_id":"40743b42-e568-43b3-b34c-6afeab2aeef4","resolution":{"observed_at":"2026-08-11T12:17:45.361364Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:45.337463Z","title":"(A4) When N1 ≫ 1, according to the normal approximation with f (normal) i (m) appeared in Eq","venue":null,"work_id":"d16bf353-9470-4f40-9d0e-29b63a3d7298","year":null},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.022097Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:9aa6d2fc707a41b9240072c9f0868776e443afb270d304d2f4a3a67ae8be8410","observation_id":"694e8a6e-2b3b-43e1-863f-f0282b0d4a70","resolution":{"observed_at":"2026-08-11T12:17:45.342805Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:45.318428Z","title":"(A12) Note that N (i) 2 is supposed to be an odd number to ensure that the sign is determined","venue":null,"work_id":"6e062acb-209e-44df-bee8-abd0044a6bcf","year":null},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.027369Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:7340976841735d653db66d35289c87175db90bd3c484fcea3f6db1bd6ded1602","observation_id":"783ad77c-786b-41ab-b30b-7164f845aac6","resolution":{"observed_at":"2026-08-11T12:17:45.324979Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:45.300136Z","title":"Thus, we only consider the case of i ̸= j","venue":null,"work_id":"db50734e-7e21-42cf-91aa-8ee4230df465","year":null},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.032405Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:ad55384c1f085ef4c530c91191a8f9cc43241174fe186264ffa65813661af340","observation_id":"26149749-e08b-4317-b55c-571c3e5636e8","resolution":{"observed_at":"2026-08-11T12:17:45.305485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:45.282257Z","title":"(A3), (A5), and (A10), respectively, it is hard to evaluate the summation numerically","venue":null,"work_id":"16986486-504d-47c8-85f7-4bd06bc508cb","year":null},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.037533Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:7171a334cb437cecfa3903d544e0af0c355eecf9e1fe59f77e19e7177b4d2713","observation_id":"db05d815-f4c2-4bac-8533-142f2e0068ee","resolution":{"observed_at":"2026-08-11T12:17:45.288659Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:45.263828Z","title":null,"venue":null,"work_id":"696413dc-0e16-4dd8-a29c-dabaec65bdbf","year":null},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.043136Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:a07af33d959dacba7edb5bb4a2093ec73b982c20585c98a7783af4b2f6481b56","observation_id":"56fafcd5-508a-4503-8c4d-d01aba122c70","resolution":{"observed_at":"2026-08-11T12:17:45.269352Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.049323Z","title":"Peruzzo, J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.049323Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:5e495428dde2819f4e82b9536254545aa9596e2fac1d7568032da070d267b346","observation_id":"0cd4db2f-3a28-44f2-8641-58be5c88a423","resolution":{"observed_at":"2026-08-11T12:17:44.049323Z","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":"2026-08-11T12:17:45.236821Z","title":null,"venue":null,"work_id":"59d877a3-cb62-4819-8540-16399e0b0195","year":2022},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.054347Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:559afdd108bf5b85cd575a90f89996fcc3907685e4079c7b9dbf99f4c97e6aba","observation_id":"a15cb975-7849-4821-a5ec-c8f4dc77760e","resolution":{"observed_at":"2026-08-11T12:17:45.242585Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.059415Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.059415Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:b46a82e8b6e07b63a6cfd47e12707b0dbce2b4405e2074990175a2b83afd66e1","observation_id":"36c4428a-96b3-4a94-ae65-3dea69946ea1","resolution":{"observed_at":"2026-08-11T12:17:44.059415Z","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":"2026-08-11T12:17:44.064046Z","title":"Kandala, A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.064046Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:becfc7765d4f3015c1e8aed50d4ff1a609f05a9ec64a467709798bb7657453b8","observation_id":"b79892e7-a16c-4c24-a6e1-62a6bbceb522","resolution":{"observed_at":"2026-08-11T12:17:44.064046Z","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":"2026-08-11T12:17:45.200722Z","title":null,"venue":null,"work_id":"f16a7efc-6208-42b2-ab02-f5771d514482","year":2019},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.068927Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:921d3f757d4d116ae1cbba341885e71e3efb1c885fe8e7dbd095046e0caab7a3","observation_id":"f8cc6739-d177-4af9-b1c3-c2c59521a6d4","resolution":{"observed_at":"2026-08-11T12:17:45.205716Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.07859","last_updated":"2019-07-18T03:34:06Z","snapshot_observed_at":"2026-07-06T08:08:29.341293Z","submitted_at":"2019-07-18T03:34:06Z","title":"Pauli Partitioning with Respect to Gate Sets","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.07859","snapshot_observed_at":"2026-08-11T12:17:44.074647Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.074647Z"},"links":{"cited_paper":"/paper/1907.07859","citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:792af92b2368b3cc154a52bf68ea51ff7ae2369080d238db7aee0db088b80359","observation_id":"fd0c8c83-b576-4e73-bda7-0f7c4e02374a","resolution":{"observed_at":"2026-08-11T12:17:44.074647Z","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":"2026-08-11T12:17:45.184317Z","title":"Gokhale, O","venue":null,"work_id":"f84d6ec9-369c-4f83-b8f7-99fcedc5b934","year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.080897Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:df004d62f7382d5028ce03c85db9ac4bfb09a2f10915deb967bcdc546a90d498","observation_id":"8288d3be-554f-41c3-8926-a097f56b62fe","resolution":{"observed_at":"2026-08-11T12:17:45.189374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:45.165310Z","title":null,"venue":null,"work_id":"e5cc7d64-026b-47b5-b58f-8fd5d4a83d9e","year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.087135Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:520f58112caa2828ff725f6394c42be2e424102bbe0904ef78038c49cf479f0b","observation_id":"130d2f36-5a4b-42ea-9400-2c5fd6c45b6b","resolution":{"observed_at":"2026-08-11T12:17:45.171913Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.092363Z","title":"Verteletskyi, T.-C","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.092363Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:21042a74ed5ca0407abbe032e7937321744dd71f4cff866811f3c280e9259a12","observation_id":"c426f19c-1860-47bf-84b1-1e6ec2d4c2ee","resolution":{"observed_at":"2026-08-11T12:17:44.092363Z","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":"2026-08-11T12:17:44.097254Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.097254Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:495fb4bd49534d6af94144b38eb67c476f69853aa0ded307dd5a7c754e834a72","observation_id":"5def1b2a-023d-4bcc-9582-3fd59b5f6630","resolution":{"observed_at":"2026-08-11T12:17:44.097254Z","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":"2026-08-11T12:17:45.123820Z","title":null,"venue":null,"work_id":"3b2f9415-f8d0-4216-a74e-fc619fa916bd","year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.102637Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:9d824ea9af491d83559a996c9e8dcc7be901bc250a5c84d78ecdc768fbbfd7c8","observation_id":"9f320748-889e-4427-bea0-f8099f7b0b13","resolution":{"observed_at":"2026-08-11T12:17:45.129363Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:45.104930Z","title":"Hamamura and T","venue":null,"work_id":"31cf2479-8a9a-4fd0-936a-3ff1e875d100","year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.107661Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:cf93a1f863f47715e1bacf980a2ed6e028a2c79050b090daabcaa69c3b70ccb9","observation_id":"2376d975-f2eb-4987-978f-94d76fd946f2","resolution":{"observed_at":"2026-08-11T12:17:45.110810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:45.086669Z","title":"Bonet-Monroig, R","venue":null,"work_id":"cbdba59d-a009-42d5-9ad6-fedd40eb7980","year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.113158Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:9d4cfa35403704d4ab4927bae4c08ee8ab37c7080a1dc0ea5a97203c005914f9","observation_id":"2076c339-01b9-4aca-810f-0d63faee5316","resolution":{"observed_at":"2026-08-11T12:17:45.092098Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:45.066940Z","title":"Crawford, B","venue":null,"work_id":"742a2938-34a9-446a-a98d-c012a60a39ee","year":2021},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.117970Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:d7436c600fac87a6292c05fbd770d09fa52616f14f86463e082b99997eb30706","observation_id":"6798d9fd-2bec-4ee3-8700-488ff71dfab9","resolution":{"observed_at":"2026-08-11T12:17:45.073469Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:45.046554Z","title":null,"venue":null,"work_id":"ef3ee705-579d-4ca9-a078-ad198dcffa46","year":2021},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.123103Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:04992935280998f587c6fa9be193592b8e1c5b6001d62204c47d488ad2aad934","observation_id":"efd7cec4-0c0b-4da2-aa62-3631c0a7c471","resolution":{"observed_at":"2026-08-11T12:17:45.052818Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:45.027924Z","title":"Yen and A","venue":null,"work_id":"25e49422-41bd-47ff-bc58-2724772380a0","year":2021},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.128360Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:9899ac3cb3ef57d9263fbda91c57682608a25a00071c8b04b1e1c088a2f02fc0","observation_id":"7ce78dd1-c16a-4668-a81b-b55dfaf7b912","resolution":{"observed_at":"2026-08-11T12:17:45.033777Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:45.009335Z","title":"Shlosberg, A","venue":null,"work_id":"cb64c649-9d02-48f8-841a-02a80855a9db","year":2023},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.133299Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:f893df8eb7f248c38cb0ade221a2bcb787510bd52985d8c9ab88d027ae5b736d","observation_id":"3ea595b9-86fe-42a8-9ecf-72610cdaa753","resolution":{"observed_at":"2026-08-11T12:17:45.014774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.989253Z","title":"Inoue, K","venue":null,"work_id":"3874a25c-64c8-4388-9b69-6e52602abfb0","year":2024},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.138180Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:40db44ab1f1bce54b8dbdc7ac31662cfff891f093c4782f7c971fd27f0c8b394","observation_id":"e891176d-6afd-4b09-9b8d-142b6a26fb48","resolution":{"observed_at":"2026-08-11T12:17:44.994792Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.973015Z","title":null,"venue":null,"work_id":"7bb5a645-1344-487a-8cfe-016f077c3c6e","year":2023},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.143196Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:dfb65ca23971ee716c86e4048b1f7b72a8566cb6345fadecbbb0855a68e58753","observation_id":"31d51314-0646-4766-96e5-08e88f9db138","resolution":{"observed_at":"2026-08-11T12:17:44.978312Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.148256Z","title":"Huang, R","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.148256Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:745a954af2588df87ba4a6d9798b798ba87924f06a0a8d7eaa95ec91cddab836","observation_id":"7ab22aa4-bcc1-4bcd-b475-ec72fe8e2dd8","resolution":{"observed_at":"2026-08-11T12:17:44.148256Z","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":"2026-08-11T12:17:44.945896Z","title":"Kohda, R","venue":null,"work_id":"1510a721-0b32-42cd-af3e-5e867a51e319","year":2022},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.153385Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:a2f51d9f389be76ead774eee41a48db0be470ec8520880da6144a2b1e51446a0","observation_id":"d789f6e2-7349-46bd-bc03-58ea87efd1b9","resolution":{"observed_at":"2026-08-11T12:17:44.950831Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.158610Z","title":"Wecker, M","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.158610Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:6b2b63b2d6238baeedccac994bcd14b723e2aef465882a02b041c6d3c835fe59","observation_id":"8bd34e01-a29c-487e-8f16-e6a1aab8d9b4","resolution":{"observed_at":"2026-08-11T12:17:44.158610Z","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":"2026-08-11T12:17:44.164073Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.164073Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:80255e6980322cd4e55e3d8ae2bfe46860481adb12df47b960deea3d9078b15f","observation_id":"b14f0568-9f62-41cd-b172-f4d7e00eee75","resolution":{"observed_at":"2026-08-11T12:17:44.164073Z","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":"2026-08-11T12:17:44.907509Z","title":null,"venue":null,"work_id":"bf570842-8608-4780-952e-c358721dd83b","year":2022},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.169213Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:039be95f4eff067e4e4828701724920c67b3639594f6d41204f5cb35aa33efe1","observation_id":"993cc45b-54b8-4039-92f9-b37b9de68850","resolution":{"observed_at":"2026-08-11T12:17:44.912606Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.07275","last_updated":"2022-03-14T16:51:36Z","snapshot_observed_at":"2026-08-13T16:23:30.123209Z","submitted_at":"2022-03-14T16:51:36Z","title":"Reducing the cost of energy estimation in the variational quantum eigensolver algorithm with robust amplitude estimation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.07275","snapshot_observed_at":"2026-08-11T12:17:44.174650Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.174650Z"},"links":{"cited_paper":"/paper/2203.07275","citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:c76eaa1b887fa12be2f73d3fb62cfb8637cbba38612e01d5dae9d7c454eb4eaa","observation_id":"ec8f38ed-678c-42ba-b445-1eaa54d56493","resolution":{"observed_at":"2026-08-11T12:17:44.174650Z","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":"2026-08-11T12:17:44.888815Z","title":"Huang, R","venue":null,"work_id":"f11bbf58-b321-4a41-aa9c-fa42ba0db105","year":2021},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.180186Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:ca606b844b5218118037d072a10213c401c90f8b8ccaa0c3b7e9843e1f459000","observation_id":"c2cc97a1-4faf-4319-b8b8-242ee085f097","resolution":{"observed_at":"2026-08-11T12:17:44.895023Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.186028Z","title":"Huang, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.186028Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:f07c0ccac519805e75766219fe7d0b157edcd03953fd5778f67ef0916700184f","observation_id":"4122b522-24e7-4b6c-889b-9a6603e12a22","resolution":{"observed_at":"2026-08-11T12:17:44.186028Z","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":"2026-08-11T12:17:44.191622Z","title":"Jiang, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.191622Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:c14faacae45d555d8e059b00f7c6a089819803eaf9f119b40627b2febf3b63f7","observation_id":"cc218879-573d-4eca-86fb-12cd3e98cfd4","resolution":{"observed_at":"2026-08-11T12:17:44.191622Z","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":"2026-08-11T12:17:44.853469Z","title":"Garc ´ ıa-P´ erez, M","venue":null,"work_id":"50748837-ba6b-458b-84d0-3abb4928ef9e","year":2021},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.196847Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:565cdad14c884fbbcc561c4f0570d47f17626142feed2b691e47c7425d67ed21","observation_id":"1dabdb44-385e-4997-a5d7-598eb68a91af","resolution":{"observed_at":"2026-08-11T12:17:44.858360Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.838235Z","title":null,"venue":null,"work_id":"470490ea-2e48-46fa-a7e0-7d3363ce3342","year":2024},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.203084Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:f524e7925f0c3ea2989739a01b3415f5da1e996c54ed5a1f3a7c75f841ef73e4","observation_id":"1f1f4dff-e9c3-4cb7-be65-a304a5a24d75","resolution":{"observed_at":"2026-08-11T12:17:44.843113Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.19105","last_updated":"2024-11-15T03:29:27Z","snapshot_observed_at":"2026-08-13T00:19:05.758192Z","submitted_at":"2024-04-29T20:57:05Z","title":"Optimal tradeoffs for estimating Pauli observables","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.19105","snapshot_observed_at":"2026-08-11T12:17:44.208442Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.208442Z"},"links":{"cited_paper":"/paper/2404.19105","citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:791411c4f9def375e568eca820f53c323858b8ab3a5a30ae21cd9e142230c3ce","observation_id":"c82a2373-9e79-4740-aaae-1ce1583f74c1","resolution":{"observed_at":"2026-08-11T12:17:44.208442Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.19211","last_updated":"2024-04-30T02:22:52Z","snapshot_observed_at":"2026-08-13T00:18:58.172526Z","submitted_at":"2024-04-30T02:22:52Z","title":"Triply efficient shadow tomography","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.19211","snapshot_observed_at":"2026-08-11T12:17:44.214355Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.214355Z"},"links":{"cited_paper":"/paper/2404.19211","citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:6ebacab88ad9e4c62e656c4442c1a5ce475dabdd2d110ac55a46046651c69feb","observation_id":"e752a21a-4a15-4b42-bc46-9b7d8c83960d","resolution":{"observed_at":"2026-08-11T12:17:44.214355Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1707.04012","last_updated":"2017-07-26T08:41:39Z","snapshot_observed_at":"2026-07-06T05:50:55.143709Z","submitted_at":"2017-07-13T07:48:01Z","title":"Learning stabilizer states by Bell sampling","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.04012","snapshot_observed_at":"2026-08-11T12:17:44.220024Z","title":"Montanaro, Learning stabilizer states by bell sampling (2017), arXiv:1707.04012 [quant-ph]","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.220024Z"},"links":{"cited_paper":"/paper/1707.04012","citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:e651bc4cedd8b1621cbe6dc2409f0f2f255d60f1bce9ab4865e6dbe2c11d9a3b","observation_id":"e426f93c-4e4e-4e86-936d-59882e458750","resolution":{"observed_at":"2026-08-11T12:17:44.220024Z","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":"2026-08-11T12:17:44.822638Z","title":"Gross, S","venue":null,"work_id":"633232ba-a80b-4b5d-8cce-c2e9525d8c18","year":2021},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.228897Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:69fed366c19734f8ba1f17c2637bb05378774a3016c73fff042dee938e270332","observation_id":"1e3b36c2-9dfe-4457-9b90-130e219fe982","resolution":{"observed_at":"2026-08-11T12:17:44.827776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.806699Z","title":"Haug and M","venue":null,"work_id":"194d1de1-5a3e-4880-8d7c-b2ec43e15d3e","year":2023},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.234899Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:d7915964401e7499a9cf34441ecb66184b463eb0e26addf77f69e8790f25e232","observation_id":"fba8007c-2669-446d-9ee5-8fc142cf9025","resolution":{"observed_at":"2026-08-11T12:17:44.811960Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.789622Z","title":null,"venue":null,"work_id":"bc49df2d-71bb-4a94-b7b5-72865615ac59","year":2024},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.239909Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:a23048546fd5b6ed5d2c3c3a085807d0b40affdcf9d2317417a67a8e6b04dacc","observation_id":"4692d1a9-457b-4a92-b80d-e45e9010289a","resolution":{"observed_at":"2026-08-11T12:17:44.795227Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.772723Z","title":"Hangleiter and M","venue":null,"work_id":"31c75199-f960-4fee-87be-8fedfc03301f","year":2024},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.245744Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:6a25fc161869c78c1064798ec97e41d2741c6998795d7f87b1fe62fe659fee38","observation_id":"f0723b6e-8174-40f5-a447-4498c9b21258","resolution":{"observed_at":"2026-08-11T12:17:44.778854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.13939","last_updated":"2024-05-22T19:13:05Z","snapshot_observed_at":"2026-08-13T00:01:53.311223Z","submitted_at":"2024-05-22T19:13:05Z","title":"Principal eigenstate classical shadows","version":1},"cited_work":{"arxiv_id":"2405.13939","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.13939","snapshot_observed_at":"2026-08-11T12:17:44.424388Z","title":"Principal eigenstate classical shadows","venue":"quant-ph","work_id":"403f6978-d5a4-4a67-b091-868b99f80592","year":2024},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.251197Z"},"links":{"cited_paper":"/paper/2405.13939","citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:f5d1fe51c17a4e09b1a6d53a1571dd46926b8684772e2ef053d210b4a7dac4a7","observation_id":"be5e10bb-4f45-472a-bbf8-3a5a38a42b37","resolution":{"observed_at":"2026-08-11T12:17:44.431650Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.755909Z","title":null,"venue":null,"work_id":"cc20b044-428d-4a05-97be-6f117a3a083e","year":2024},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.258155Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:620d2d51f3ac61b7adb14d9ca1692da30ba4023285ef0f9b19a930a051d1ec3b","observation_id":"b6dc2c53-da28-431f-a5a3-dd8498334c87","resolution":{"observed_at":"2026-08-11T12:17:44.761209Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.739671Z","title":null,"venue":null,"work_id":"b880e7d3-4f52-43a5-871d-8c5ec2cdf5eb","year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.263368Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:b65c78586640d8262182ceed73855a98b9bf335fdea2428c6e5865503cc0d48d","observation_id":"b9a24062-c168-4dd0-9e44-630451d61863","resolution":{"observed_at":"2026-08-11T12:17:44.744627Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.723925Z","title":null,"venue":null,"work_id":"1a4667b6-992b-4479-a70d-ade6ae7fe9e3","year":2018},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.268638Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:ae08bdd4b1e5e360eeff244d0fcb45ed2052b7781e26a1b73e40debc27ee7d98","observation_id":"bddf970f-003d-4ea3-87a0-7bcc84a918ef","resolution":{"observed_at":"2026-08-11T12:17:44.728928Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.708430Z","title":null,"venue":null,"work_id":"ff088b20-9e4b-4e09-b223-6586262cc548","year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.273910Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:03d359b10fe823d927d4e8955818fe6803cd4fe1c7c7f16dc39c6b9595b269c7","observation_id":"81c45062-c6ac-4235-b2bc-361d8bb64e85","resolution":{"observed_at":"2026-08-11T12:17:44.713303Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.692181Z","title":"Suzuki, Y","venue":null,"work_id":"d9e87e50-23eb-4d7a-817c-b4d32aacf26d","year":2021},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.279078Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:1ed6a8b16f5a84c6418c23891bdfa4309c17b83ab0e34b02d84b551c1a00afb9","observation_id":"46db8c75-fd86-4144-841a-96e8d9e49088","resolution":{"observed_at":"2026-08-11T12:17:44.697507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.676614Z","title":null,"venue":null,"work_id":"fb540075-8bcf-4b07-b36f-5dcd55ecf998","year":2022},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.284397Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:831d05bd0704ecd716ac4e00cbe1608e36ef2024e62abd2990631a1e5f4d99fe","observation_id":"d11b7b21-d46d-42a6-a679-3b93775de548","resolution":{"observed_at":"2026-08-11T12:17:44.681465Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.289745Z","title":"Aaronson and D","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.289745Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:4a0ad7410b656600ec38d093d2e213bbc4305b4d5c6b91378c78a4b866f9a0a0","observation_id":"d5f46d84-eaae-4670-b8b4-9d256d711cca","resolution":{"observed_at":"2026-08-11T12:17:44.289745Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.06252","last_updated":"2020-04-14T01:00:07Z","snapshot_observed_at":"2026-08-12T15:13:25.103061Z","submitted_at":"2020-04-14T01:00:07Z","title":"Operator Sampling for Shot-frugal Optimization in Variational Algorithms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.06252","snapshot_observed_at":"2026-08-11T12:17:44.296257Z","title":"Arrasmith, L","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.296257Z"},"links":{"cited_paper":"/paper/2004.06252","citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:4f32b77c88e8749a0b7d41406b289c0ccdafafe33c01a563e79efbd2e02d5dd4","observation_id":"796b4e9c-15cb-4d74-80ab-480827fe2e78","resolution":{"observed_at":"2026-08-11T12:17:44.296257Z","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":"2026-08-11T12:17:44.650747Z","title":"Zhang, B.-L","venue":null,"work_id":"197f1e90-d456-4e91-b9a8-28920c44469a","year":2022},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.302072Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:5676b426137d149a4032081ed59041f9bc43312a2d6a905b5ea6aba04f94216b","observation_id":"d65ce031-cdc8-4268-a05b-8e283d3b6866","resolution":{"observed_at":"2026-08-11T12:17:44.655525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.635221Z","title":"Motta, C","venue":null,"work_id":"b27cf9b4-f735-4c18-8699-3b34c0ec3c71","year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.307352Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:c182e7d507251e72db238343fc1939f0478c4abd9966865455cffb1ce7602b7d","observation_id":"1389d39d-7051-4657-b702-fd26fe91c377","resolution":{"observed_at":"2026-08-11T12:17:44.640129Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.617030Z","title":"Boyd and B","venue":null,"work_id":"46d33bbe-f974-46a3-9605-2298c390a6a6","year":2022},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.312693Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:56a5f7b6584d622379d8b95283643b620c769d7371fe60f4f2a66956f9be2c5a","observation_id":"ffe0cbd1-e0c5-406a-9d95-6b6ef938025b","resolution":{"observed_at":"2026-08-11T12:17:44.623528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.599839Z","title":null,"venue":null,"work_id":"9346a531-86c3-4c9d-a1ab-bbb405053ead","year":2017},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.317810Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:8ea60ed4b2069713e918ebcee051329b778c90ff0d9f6dcdd1f705061e87cf42","observation_id":"e5dc5a4d-fa45-453e-8f4d-62e5de07c0d5","resolution":{"observed_at":"2026-08-11T12:17:44.604633Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.583268Z","title":"Takeshita, N","venue":null,"work_id":"0dfcb845-ba4c-4a92-bd30-05cfd1fab373","year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.322599Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:5778b13d4fa882ceb7676c052c7aa9bed5500aef53f347038e4427f660217350","observation_id":"73dd69f9-e84e-4081-9692-79caa469aaa0","resolution":{"observed_at":"2026-08-11T12:17:44.588262Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.566712Z","title":null,"venue":null,"work_id":"20accbb2-d4ed-4dd5-9a6b-bcfe5a3f9193","year":2020},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.328082Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:b47bc74989e014dda20275168322a04ce02665ebbb117d111c51adf0c849b71e","observation_id":"9c26a717-3dad-46bd-8cde-7726d917f222","resolution":{"observed_at":"2026-08-11T12:17:44.571793Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T12:17:44.549545Z","title":"Suchsland, F","venue":null,"work_id":"e053f67b-a427-4416-9bb9-078c2dd633ba","year":2021},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.332796Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:30c201412c7ca43a4514ac21c30a5326144d352dd407d595dce4555e1cc38ff2","observation_id":"9ca55ca8-4ac3-48a8-ac7f-523aee379239","resolution":{"observed_at":"2026-08-11T12:17:44.555421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.11036","last_updated":"2024-06-09T09:41:30Z","snapshot_observed_at":"2026-08-13T18:07:29.363912Z","submitted_at":"2022-12-21T14:23:48Z","title":"Algorithmic Shadow Spectroscopy","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.11036","snapshot_observed_at":"2026-08-11T12:17:44.337703Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.337703Z"},"links":{"cited_paper":"/paper/2212.11036","citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:f3069f946f8d271da6ad4fc5fc89a2c79f647139a85fb010e6b2396715cc196e","observation_id":"6897dd20-ef4a-41f1-a9e7-03ffd128832f","resolution":{"observed_at":"2026-08-11T12:17:44.337703Z","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":"2026-08-11T12:17:44.533382Z","title":"Meurer, C","venue":null,"work_id":"adc0a877-6183-4a0f-9e36-3302e1f933b6","year":2017},"citing_paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-11T12:17:44.343252Z"},"links":{"citing_paper":"/paper/2412.14466"},"observation_digest":"sha256:c47f32c04f6d5eaa435191c33ea8ef38e46210c83f44aaaa167d1459f3fa8fec","observation_id":"1ae2eb8b-3f4a-45fb-9ac9-03087d7b8d2e","resolution":{"observed_at":"2026-08-11T12:17:44.538327Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.14466","last_updated":"2024-12-19T02:27:42Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-12T12:09:03.642837Z","submitted_at":"2024-12-19T02:27:42Z","title":"Quantum expectation value estimation by doubling the number of qubits"},"reference_resolution":{"displayed":61,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":35,"verified_exact":1,"verified_fuzzy":25},"total_outbound_references":61},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2412.14466."}