{"as_of":"2026-08-20T08:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a259788f052965444dc61e695d9b9cb7548a32b328ce78e8be9fd8cf25930019","coverage":[{"denominator":71,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":71,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T04:46:45.549471Z","state":"measured"},{"denominator":75,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":75,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:53:39.817289Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-20T17:38:48.232253Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.06054","snapshot_observed_at":"2026-08-15T15:53:39.817289Z","title":"High-order Magnus Expansion for Hamiltonian Simulation,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.25345","last_updated":"2026-07-06T16:05:34Z","snapshot_observed_at":"2026-08-18T04:03:49.861201Z","submitted_at":"2025-09-29T18:02:00Z","title":"Fast quantum computation with all-to-all Hamiltonians","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-15T15:53:39.817289Z"},"links":{"cited_paper":"/paper/2509.06054","citing_paper":"/paper/2509.25345"},"observation_digest":"sha256:b848dec521b3ad1a6e6cb75dfb8e723810ac5032f83c166633e9cd845863e3c9","observation_id":"5d62ba33-368e-4218-9390-51c9e6065ff8","resolution":{"observed_at":"2026-08-15T15:53:39.817289Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"cited_work":{"arxiv_id":"2509.06054","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.06054","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"High-order magnus expansion for hamil- tonian simulation","venue":null,"work_id":"5bfca3a4-b870-4847-ac27-e2466744a143","year":2025},"citing_paper":{"arxiv_id":"2604.07704","last_updated":"2026-04-09T01:47:15Z","snapshot_observed_at":"2026-08-18T04:03:47.645259Z","submitted_at":"2026-04-09T01:47:15Z","title":"Trotterization with Many-body Coulomb Interactions: Convergence for General Initial Conditions and State-Dependent Improvements","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-10T18:29:35.042812Z"},"links":{"cited_paper":"/paper/2509.06054","citing_paper":"/paper/2604.07704"},"observation_digest":"sha256:728a04091cda3f95abe1735d40a3fb99de06893d58bcf9e2f3a3e8394d976c61","observation_id":"a805769f-c5a6-47fb-8f30-f2cc86fbe957","resolution":{"observed_at":"2026-05-11T00:30:52.469067Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"cited_work":{"arxiv_id":"2509.06054","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.06054","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"High-order magnus expansion for hamil- tonian simulation","venue":null,"work_id":"5bfca3a4-b870-4847-ac27-e2466744a143","year":2025},"citing_paper":{"arxiv_id":"2604.19625","last_updated":"2026-04-21T16:13:57Z","snapshot_observed_at":"2026-08-17T19:58:04.564336Z","submitted_at":"2026-04-21T16:13:57Z","title":"Coherent-State Propagation: A Computational Framework for Simulating Bosonic Quantum Systems","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-05-10T03:27:13.224597Z"},"links":{"cited_paper":"/paper/2509.06054","citing_paper":"/paper/2604.19625"},"observation_digest":"sha256:0b879c7efff5a7b753b95c2ebceb6bc6e2b86713c78ce9321e423322f502416d","observation_id":"f13cfb72-e6e3-4932-9099-1c31ebcae0f7","resolution":{"observed_at":"2026-05-10T03:29:21.825630Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"cited_work":{"arxiv_id":"2509.06054","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.06054","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"High-order magnus expansion for hamil- tonian simulation","venue":null,"work_id":"5bfca3a4-b870-4847-ac27-e2466744a143","year":2025},"citing_paper":{"arxiv_id":"2605.18877","last_updated":"2026-05-15T23:24:46Z","snapshot_observed_at":"2026-08-15T13:40:21.253414Z","submitted_at":"2026-05-15T23:24:46Z","title":"Logical Resource Estimation for Quantum State Preparation with Compilation","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-05-20T17:34:26.270906Z"},"links":{"cited_paper":"/paper/2509.06054","citing_paper":"/paper/2605.18877"},"observation_digest":"sha256:c0aa7e8415e387ea684e01c41119576de7153d2230b68a0381ec4889bd203c2b","observation_id":"e258ef13-10e8-4fcb-b8f1-213d816763f3","resolution":{"observed_at":"2026-05-20T17:38:48.235372Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2509.06054/citation-record","integrity":"/paper/2509.06054/integrity","json":"/paper/2509.06054/citation-record.json","paper":"/paper/2509.06054"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T04:46:46.877410Z","title":"Nmr techniques for quantum control and computation","venue":null,"work_id":"639a1b2e-daf4-4bc7-be44-7f3e953da45f","year":2004},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.347930Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:760e46cd448d4e373940ee1572ee632de545dc3e240149ba36c591ad0cb6ca68","observation_id":"80b3ba74-8a2d-4985-8ba4-4b6232be9771","resolution":{"observed_at":"2026-08-05T04:46:46.880213Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.869075Z","title":"Control of quantum phenomena: past, present and future.New Journal of Physics, 12(7):075008, 2010","venue":null,"work_id":"bdebaac9-54b7-41b4-afaf-29eca9ed3d30","year":2010},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.351333Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:2eba7bbd05ad76148969b0dc2d543fb14a1515588cfaba9bf74dc9cb715fcf64","observation_id":"f31ec557-798b-406a-ac1e-a3e116c4b6bb","resolution":{"observed_at":"2026-08-05T04:46:46.872031Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.860499Z","title":"Quantum control theory and applications: a survey.IET Control Theory & Applications, 4(12):2651–2671, 2010","venue":null,"work_id":"09d3f828-60a8-4ce9-aeda-dcb18e119934","year":2010},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.354661Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:1cbb4bd1e69339627c8e6c0ab1acd866b5f754b4b1929abccfd23f9b69d1be63","observation_id":"e2ecb7fd-0fad-4282-a882-a500fa5a1813","resolution":{"observed_at":"2026-08-05T04:46:46.863328Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.851286Z","title":"Shortcuts to adiabaticity by counterdiabatic driving.Physical review letters, 111(10):100502, 2013","venue":null,"work_id":"a21e0967-5843-452a-a7cb-3845e325dae0","year":2013},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.357872Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:087e7b975a383ca275b58371f6830fcf4b178322e0985e6f3a72dd05e663c477","observation_id":"3e8c2693-d295-47f9-9882-70bfd2b7b42d","resolution":{"observed_at":"2026-08-05T04:46:46.854496Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:45.360887Z","title":"Counter- diabatic driving with performance guarantees.arXiv preprint arXiv:2503.01958, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.360887Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:87e02d2a3f3205a6b39729c355867259317aa7181bcda1468d7738db25131665","observation_id":"8146dd05-c2d6-4845-bcd6-a7b9dacea5e7","resolution":{"observed_at":"2026-08-05T04:46:45.360887Z","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":"2026-08-05T04:46:46.843048Z","title":"Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator.Nature, 551(7682):601–604, 2017","venue":null,"work_id":"0123f664-3c76-4546-96f9-7af986b6c0cc","year":2017},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.363966Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:fcc59128488a6b3a9d454c84a0fd1b7eafbffaf1393990c1b1b712ee9bbcae30","observation_id":"caa369ba-bff3-4761-80f5-21b9eed6890c","resolution":{"observed_at":"2026-08-05T04:46:46.845928Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.834672Z","title":"Jurcevic, H","venue":null,"work_id":"5160b411-c40f-437f-b3aa-128eeab8beb3","year":2017},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.367014Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:8fdce1a1b85e61c79d78f1427f1c2422327984cb56772b639ecc5965f0fe74d1","observation_id":"d07e9124-aeb7-4d53-8dac-a29c23a89177","resolution":{"observed_at":"2026-08-05T04:46:46.837310Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.825945Z","title":"Probing many-body dynamics on a 51-atom quantum simulator.Nature, 551(7682):579–584, 2017","venue":null,"work_id":"27ab440f-4b5c-4782-95f3-18e67a617b2a","year":2017},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.369984Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:bea28068d06d03aba8a30ebe59a3e03dd3f33302cd223345a12132f8d47cc82f","observation_id":"de6c4c8e-d1be-4792-8f95-15c3844026f0","resolution":{"observed_at":"2026-08-05T04:46:46.828972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0001106","last_updated":"2000-01-28T22:12:03Z","snapshot_observed_at":"2026-07-07T07:02:58.841967Z","submitted_at":"2000-01-28T22:12:03Z","title":"Quantum Computation by Adiabatic Evolution","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0001106","snapshot_observed_at":"2026-08-05T04:46:45.372671Z","title":"Quantum computation by adia- batic evolution","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.372671Z"},"links":{"cited_paper":"/paper/quant-ph/0001106","citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:a44a2e09482727a455a446722e35b18446eefe92ae2e7b1cce41edc57bb9e0f2","observation_id":"78baacd4-b8c9-4221-a1a7-be69e6356513","resolution":{"observed_at":"2026-08-05T04:46:45.372671Z","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":"2026-08-05T04:46:46.817554Z","title":"Albash and D","venue":null,"work_id":"64079ce6-2e87-4353-aaf2-ab4ed9246935","year":2018},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.375767Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:a61ab200cf28c4c5616500b8c40ff50534f5a4604dabfa6b324ada37c59c1e9c","observation_id":"db2e69c0-71a3-4a8c-b062-d14c8624754d","resolution":{"observed_at":"2026-08-05T04:46:46.820426Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.809159Z","title":"Egger, Bruce G","venue":null,"work_id":"ae0f73a6-cb27-461d-b6ed-601768e5b855","year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.378728Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:f1eae4a6766807447c4a1391d981b75b7fea82ae9cc2f3233936726735bc8e57","observation_id":"26e2d771-94c8-4579-9f88-ad55fb4c7338","resolution":{"observed_at":"2026-08-05T04:46:46.811959Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00675","last_updated":"2019-06-06T07:17:48Z","snapshot_observed_at":"2026-08-19T13:34:42.378536Z","submitted_at":"2018-05-02T08:45:20Z","title":"Hamiltonian Simulation in the Interaction Picture","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.00675","snapshot_observed_at":"2026-08-05T04:46:45.381721Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.381721Z"},"links":{"cited_paper":"/paper/1805.00675","citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:4b281a79cdac8a0af7414a7db765a2b50aa67670d4dec89ccce6f4eb3bab2519","observation_id":"45e66b2f-bea6-428b-ac46-66897c59aa44","resolution":{"observed_at":"2026-08-05T04:46:45.381721Z","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":"2026-08-05T04:46:46.799821Z","title":"Hybridized methods for quantum simulation in the interaction picture.Quantum, 6:780, August 2022","venue":null,"work_id":"b6262119-be7a-4267-9a29-d8ff651cb91d","year":2022},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.384512Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:a3a90a1214d745836f0b79b510c67bd47bdb47cf852794ae9977f36d1e197e58","observation_id":"75d08e40-e763-40b8-8441-10eefd3060bd","resolution":{"observed_at":"2026-08-05T04:46:46.803326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.790262Z","title":"Childs, Yuan Su, Minh C","venue":null,"work_id":"77c33537-8707-453d-8f87-1b835061def0","year":2021},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.387672Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:8f378eb5303c3e490534d562978790d3897467effeb67baad7ee3b17e61848a4","observation_id":"c7494f9f-456b-452d-b6c5-404389738563","resolution":{"observed_at":"2026-08-05T04:46:46.793022Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.781409Z","title":"Wiebe, D","venue":null,"work_id":"ddf6e4f1-d3f6-4d07-8be7-17df89976222","year":2010},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.390558Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:c11a3164f21eb3e6ac7c11c1daf551f626353d90e9ffa67da1923eff22d7ee8d","observation_id":"4ea5fa81-9818-4426-963d-abefe07ebe29","resolution":{"observed_at":"2026-08-05T04:46:46.784189Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.772286Z","title":"Nearly optimal lattice simulation by product formulas.Phys","venue":null,"work_id":"853b08a5-40d3-4a16-b94d-ff391f07dd76","year":2019},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.393375Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:259130b309770dfc1ca972e07b31c0b7ca39fc63375842a5a912d65744726b02","observation_id":"f4ca0332-5dd2-490e-880b-c48fe38e2396","resolution":{"observed_at":"2026-08-05T04:46:46.775732Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.763645Z","title":null,"venue":null,"work_id":"dd614ed7-e01d-4ad5-924c-6ca45efa0b3f","year":2021},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.396342Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:3da8f2aa88bad744a8993e774c2777285e617444dbba48f49bcc02eb0c45ef6a","observation_id":"5750a98b-6c2a-4212-b96d-2ba65535eabf","resolution":{"observed_at":"2026-08-05T04:46:46.766465Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.754661Z","title":"Time-dependent unbounded Hamiltonian simulation with vector norm scaling.Quantum, 5:459, may 2021","venue":null,"work_id":"8b63247c-ef86-45d2-9dab-6c180ae5339c","year":2021},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.398929Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:246748d91d8800ccf27818f93d5868e9320c8299562d3ddb8a16490ca9328cc3","observation_id":"468f135d-02e1-4ed3-93e4-7904a203ece8","resolution":{"observed_at":"2026-08-05T04:46:46.757675Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:45.402116Z","title":"Campbell","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.402116Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:8b3abe8cb238127baf98f6f69409cf17bc20885298dd4ddf728e218ff07f0db6","observation_id":"001f177b-fa21-4ec6-8a45-88a56be378a2","resolution":{"observed_at":"2026-08-05T04:46:45.402116Z","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":"2026-08-05T04:46:46.739624Z","title":"Shaw, Tongyang Li, and Andrew M","venue":null,"work_id":"7728e15a-fb8b-40f7-862a-4218a324d19d","year":2022},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.404956Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:3e995fbe911f7aa1e9ecbc1b1cfe2d32c47392a00229b0f2c549186ef4a1f9c6","observation_id":"0673af72-acb2-467c-bdd5-3033549ba08e","resolution":{"observed_at":"2026-08-05T04:46:46.742426Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.731316Z","title":"Uniform observable error bounds of trotter formulae for the semiclassical schr¨ odinger equation.Multiscale Modeling & Simulation, 23(1):255–277, 2025","venue":null,"work_id":"cd9e9522-688a-48b0-9cf7-5e106584e29f","year":2025},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.407646Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:87046a486446189e479912630219698277ef49235ec91846ad27e880ef6bed2e","observation_id":"0e3db6d4-7c65-4bff-a505-9f4ef2d891b4","resolution":{"observed_at":"2026-08-05T04:46:46.734235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.722379Z","title":"Complexity of Digital Quantum Simulation in the Low- Energy Subspace: Applications and a Lower Bound.Quantum, 8:1409, July 2024","venue":null,"work_id":"90109515-985f-4ed3-8c4a-1889253b0f5a","year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.410329Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:369adf2fde8ea1820af13f73a5750d97529cd216d2a84033c343f0a392cf361e","observation_id":"5d0c02b1-4f8b-4f06-8d6b-43feefeba8ca","resolution":{"observed_at":"2026-08-05T04:46:46.725532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.713653Z","title":null,"venue":null,"work_id":"5d07fad4-1d25-4a3a-9961-c6deae9cc9f4","year":2023},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.413099Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:304cd0f31bd808e7371a3946cf23aeb622fba9ddbd7a686963a4567c92f05473","observation_id":"b9475dc6-9bec-407d-8bbc-ea0f3b8eaff2","resolution":{"observed_at":"2026-08-05T04:46:46.716300Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.704808Z","title":"Entanglement accelerates quantum simulation.Nature Physics, pages 1–8, 2025","venue":null,"work_id":"06195f71-4f4e-43f8-9c53-b223546656cc","year":2025},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.415860Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:dcd5d033dbe0196b8d7dfb839117e2787a444675644589b21d09b2888fd30947","observation_id":"96a35bdf-24a9-4e82-87a9-86e68ac44cf4","resolution":{"observed_at":"2026-08-05T04:46:46.707751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.695594Z","title":"Selection and improvement of product formulae for best performance of quantum simulation.Quantum Information & Computation, 25(1):1–35, 2025","venue":null,"work_id":"06901d28-7bf1-4135-b361-7e95706d4e0a","year":2025},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.418589Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:1b3914a46b62ca432a538d5934caf474524b74036d5a2b4c0f44a099638c1999","observation_id":"3b540f89-73d7-4553-8989-96d6c5b7da9c","resolution":{"observed_at":"2026-08-05T04:46:46.698769Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.11679","last_updated":"2019-09-20T19:10:39Z","snapshot_observed_at":"2026-08-14T16:01:53.133132Z","submitted_at":"2019-07-26T17:02:08Z","title":"Well-conditioned multiproduct Hamiltonian simulation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.11679","snapshot_observed_at":"2026-08-05T04:46:45.421584Z","title":"Well-conditioned multiproduct hamiltonian simulation, 2019","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.421584Z"},"links":{"cited_paper":"/paper/1907.11679","citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:4103545239a928c68b2e5186eec00c846056f72a31cd3a6258c01a22f7f54185","observation_id":"069d4708-95bb-4c6e-b0cb-6dd9854ea834","resolution":{"observed_at":"2026-08-05T04:46:45.421584Z","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":"2026-08-05T04:46:46.686664Z","title":"Universal quantum simulators.Science, pages 1073–1078, 1996","venue":null,"work_id":"1ee4ec60-4fa5-44fe-8cd9-0070df5a54eb","year":1996},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.424933Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:bb408818d699322c3226e69007b0cf48a2dd8ca9a743a5d414508010add89088","observation_id":"5cea0732-dfc3-4f21-9cb0-e82b90ef3d43","resolution":{"observed_at":"2026-08-05T04:46:46.689731Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.677707Z","title":"Huyghebaert and H","venue":null,"work_id":"e28832cd-1696-4238-9ba9-c2eeb02d5287","year":1990},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.427770Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:4a5227cdce872fe728c62a59411a64a4f0188fc34a0f12d4f8e84ecf8c1519d5","observation_id":"bbcc648d-6bc3-468c-9ab3-b67263a26993","resolution":{"observed_at":"2026-08-05T04:46:46.680884Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:45.430723Z","title":"Ikeda, and Keisuke Fujii","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.430723Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:f714e59b9e7712ad820d99b774d963f313ef2ec42cd67f7f6b984a689832dadc","observation_id":"27b8464f-1939-4986-add6-3739051c8e66","resolution":{"observed_at":"2026-08-05T04:46:45.430723Z","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":"2026-08-05T04:46:46.668576Z","title":"On the commutator scaling in hamiltonian simulation with multi-product formulas,","venue":null,"work_id":"5109f609-bc85-4dfe-bbe9-a7ebd9f2f85e","year":null},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.433424Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:42a70cd231617603cb04910a7ac92d33680677b8b43518d844fe6735587f6c77","observation_id":"93bc9838-d599-4fc3-b7ac-6c2bc3583add","resolution":{"observed_at":"2026-08-05T04:46:46.671522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.08922","last_updated":"2024-03-13T19:23:59Z","snapshot_observed_at":"2026-08-16T14:10:02.365233Z","submitted_at":"2024-03-13T19:23:59Z","title":"Multi-product Hamiltonian simulation with explicit commutator scaling","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.08922","snapshot_observed_at":"2026-08-05T04:46:45.436520Z","title":"Multi-product hamiltonian simulation with explicit commutator scaling, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.436520Z"},"links":{"cited_paper":"/paper/2403.08922","citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:b2c3f5ccb3472a5646f372d66c686d639911357acc03febab9c8807915512dba","observation_id":"cbd722ac-56de-40ec-aa1a-785167f6a65a","resolution":{"observed_at":"2026-08-05T04:46:45.436520Z","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":"2026-08-05T04:46:45.439461Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.439461Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:7f18438bd0400e602fdea60d873e0e9a57953588756947005fcc46819c6e4549","observation_id":"74d87249-103a-49d1-8f06-f810960f9866","resolution":{"observed_at":"2026-08-05T04:46:45.439461Z","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":"2026-08-05T04:46:46.654382Z","title":null,"venue":null,"work_id":"035ccf19-2956-4da9-b215-3fa5c00d7c32","year":2019},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.442063Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:4ac418050ab05706c9ad244ec44d461be21ad2a2898dace4723061176440fcb8","observation_id":"20922b16-bec9-431e-aca4-10b68d678c73","resolution":{"observed_at":"2026-08-05T04:46:46.657155Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.645921Z","title":null,"venue":null,"work_id":"6cc219b9-07c7-4290-8818-dd9a3cc612fa","year":2020},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.444807Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:c16de3a2ff372552c8da9430b604134e3ebc5e27f865b2b71c56374b9fb30145","observation_id":"ec7d8e10-6306-4cee-9294-9a5cefa7ee33","resolution":{"observed_at":"2026-08-05T04:46:46.648837Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.637212Z","title":"Quantum simulation of time-dependent hamiltonians and the convenient illusion of hilbert space.Physical review letters, 106(17):170501, 2011","venue":null,"work_id":"56bcfdf0-49d2-4815-ba07-b8297494dea1","year":2011},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.447637Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:167ed867ae6ddb414ea5d051d2834c6a5e026e2993b96f476f53bc9e205ac418","observation_id":"f9b1c516-8b63-4cac-aa03-b25f16e97a05","resolution":{"observed_at":"2026-08-05T04:46:46.640199Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.628672Z","title":"Watson and Jacob Watkins","venue":null,"work_id":"537b4f7f-6eca-4ef5-922f-d5718453150b","year":2025},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.450552Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:4750200696025f314a470123647ba431beeecde5e2fb7b6962ca3474ccbb5977","observation_id":"e1b07bf7-0a68-4433-b537-4e312636c45c","resolution":{"observed_at":"2026-08-05T04:46:46.631710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.19345","last_updated":"2025-07-25T14:55:44Z","snapshot_observed_at":"2026-08-16T17:51:43.716063Z","submitted_at":"2025-07-25T14:55:44Z","title":"Time-Dependent Hamiltonian Simulation via Time-Independent Dynamics in a Larger Space","version":1},"cited_work":{"arxiv_id":"2507.19345","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.19345","snapshot_observed_at":"2026-08-05T04:46:46.035492Z","title":"Time-Dependent Hamiltonian Simulation via Time-Independent Dynamics in a Larger Space","venue":"quant-ph","work_id":"964aee58-ed76-42c6-acb6-82481e6c05c0","year":2025},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.453094Z"},"links":{"cited_paper":"/paper/2507.19345","citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:34807def8bbc704fb736dd171b91c7b40183d8c8bff21ea007543d69b32b69a5","observation_id":"5685c271-7c4b-44f4-a8e9-00c28f367ca1","resolution":{"observed_at":"2026-08-05T04:46:46.038930Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.13889","last_updated":"2024-12-09T11:59:21Z","snapshot_observed_at":"2026-08-16T14:07:55.368114Z","submitted_at":"2024-03-20T18:01:27Z","title":"Quantum simulation of time-dependent Hamiltonians via commutator-free quasi-Magnus operators","version":3},"cited_work":{"arxiv_id":"2403.13889","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.13889","snapshot_observed_at":"2026-08-05T04:46:46.021872Z","title":"Quantum simulation of time-dependent Hamiltonians via commutator-free quasi-Magnus operators","venue":"quant-ph","work_id":"7d8e1374-dd6f-45b1-ade6-8fe3fe36914e","year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.456250Z"},"links":{"cited_paper":"/paper/2403.13889","citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:18b39501765417d54a1a6550865a06e3280ab221384901f2a9af3c734bed7faf","observation_id":"3664f355-f034-4a63-87e7-5188ca9cb9ba","resolution":{"observed_at":"2026-08-05T04:46:46.025641Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.620242Z","title":"Time-dependent hamiltonian simulation of highly oscillatory dynamics and superconvergence for schr¨ odinger equation.Quantum, 6:690, 2022","venue":null,"work_id":"f9a8e997-a23a-44b5-8124-31d5a15c5712","year":2022},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.459319Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:2dae7c44888a3a028e56e8540339f7994a8f75cf02e43b4753e28e76090eabd3","observation_id":"647a7e4e-d977-4081-bb3c-f0a768e9a104","resolution":{"observed_at":"2026-08-05T04:46:46.623181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.610643Z","title":"Time-dependent hamiltonian simulation via magnus expansion: Algorithm and superconvergence.Communications in Mathematical Physics, 406(6):128, 2025","venue":null,"work_id":"fb4a7907-4a39-4ee5-85d1-e0d08d843901","year":2025},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.462207Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:f70475fee263c03107f60d0d645282ed6b7332d3e7f01101831fbc71144a3276","observation_id":"51a00170-444d-43d4-8401-bbbe7f488efb","resolution":{"observed_at":"2026-08-05T04:46:46.614343Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2502.20255","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T04:46:46.002225Z","title":"Discrete Superconvergence Analysis for Quantum Magnus Algorithms of Unbounded Hamiltonian Simulation, 2025","venue":null,"work_id":"40a9cec9-b33b-4d35-9eeb-73e8121720d7","year":2025},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.465014Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:2fe70002acb22164ce4e5d0b3718f3074e7b0afe7905f19a25ed1dec548d401c","observation_id":"9837b27f-3b0b-48b0-9bc1-2b7ac637aaf1","resolution":{"observed_at":"2026-08-05T04:46:46.009401Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.601713Z","title":"Trading t gates for dirty qubits in state preparation and unitary synthesis.Quantum, 8:1375, 2024","venue":null,"work_id":"443d673c-01fa-4e6c-8b70-9ce6628c460c","year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.467654Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:32203f330ad15ccfdcacc348dee6ab0dbd47bdad2dcc4c41f0a15f15f3f8114e","observation_id":"cae1db01-e5b9-41f4-9a89-98a3ed771fa7","resolution":{"observed_at":"2026-08-05T04:46:46.605118Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.592274Z","title":"Unified architecture for a quantum lookup table,","venue":null,"work_id":"351d6b73-2d21-4ce6-a5f5-f641d3ef0156","year":null},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.470968Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:1157374b5dd5fcd81838ecdf13ff0f8fb094919e45a02047cb823253f9d8ccc3","observation_id":"e7d5436d-ad55-4614-a37e-bc241324baf2","resolution":{"observed_at":"2026-08-05T04:46:46.595729Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.583468Z","title":"Exponentially faster implementations of select (h) for fermionic hamiltonians.Quantum, 5:380, 2021","venue":null,"work_id":"c534a360-b6ca-4015-8c0d-3ad59deb4506","year":2021},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.473643Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:748ed48f85377b6789626064ac3efc4e9765e4f4bb0dc32415a904fff8746ce9","observation_id":"882f7336-7a6f-4fc1-841d-f27be3e891bf","resolution":{"observed_at":"2026-08-05T04:46:46.586405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.574729Z","title":"Block encoding with low gate count for second-quantized hamiltonians.Under preparation, 2025","venue":null,"work_id":"d9b7f855-7040-4bfa-a8a7-047d1255b2bb","year":2025},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.476277Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:a03fa9846a423fed33ed458d639393d1489b05c40314a650cb76346a59ea9482","observation_id":"dfb19ab0-c0bd-43e7-814f-0a34b5ecaeed","resolution":{"observed_at":"2026-08-05T04:46:46.577761Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.566276Z","title":"Improved techniques for preparing eigenstates of fermionic hamilto- nians.npj Quantum Information, 4(1):22, 2018","venue":null,"work_id":"ae30eeee-3ea4-44db-8474-66da9383bc7e","year":2018},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.479185Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:521cce6fd1afc5512f2213011c16833b1d265b319f56d4ff81c4e414c69d76c6","observation_id":"1fc0de96-7f59-4b76-bb2c-2b58273c0df8","resolution":{"observed_at":"2026-08-05T04:46:46.569275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.556756Z","title":"Childs, Jiaqi Leng, Tongyang Li, Jin-Peng Liu, and Chenyi Zhang","venue":null,"work_id":"b5e84066-b42f-4ef2-9e3e-43eb534341c0","year":2022},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.481842Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:56fc98b57492f5cadb7aceb5c5dc396361c999b61febcf4ea9defeb1f696e5e5","observation_id":"594b8229-115e-48dd-a031-1bbb0a04adaa","resolution":{"observed_at":"2026-08-05T04:46:46.559860Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.547207Z","title":"Observable error bounds of the time-splitting scheme for quantum- classical molecular dynamics.SIAM J","venue":null,"work_id":"46abf715-41b7-4f43-a24c-5a677f8d8ea2","year":2023},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.484446Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:45c8689d3df15aa3a370257c9b664dd71d96e34236f7f824618b517c23c8f377","observation_id":"68554045-00fb-4021-ad76-36d6322e2f7c","resolution":{"observed_at":"2026-08-05T04:46:46.550299Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.537669Z","title":"Learning many-body hamiltonians with heisenberg- limited scaling.Phys","venue":null,"work_id":"d1356fab-9e43-4eed-8532-bccaf06e4f0b","year":2023},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.487391Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:5a2235d692f912f528094bfd915eb71386f1fea6f5d4648317849d2508e96718","observation_id":"075223a1-1aec-4757-84aa-549bf54c501a","resolution":{"observed_at":"2026-08-05T04:46:46.541199Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.04566","last_updated":"2025-03-27T20:38:41Z","snapshot_observed_at":"2026-08-16T16:09:56.036049Z","submitted_at":"2022-12-08T21:14:12Z","title":"Simple and high-precision Hamiltonian simulation by compensating Trotter error with linear combination of unitary operations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.04566","snapshot_observed_at":"2026-08-05T04:46:45.489874Z","title":"Simple and high-precision hamiltonian simulation by compensating trotter error with linear combination of unitary operations, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.489874Z"},"links":{"cited_paper":"/paper/2212.04566","citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:e1a12d9966ef91cefa9ac2894ae1bc4fc753135e3652cfde023462ee52a7694b","observation_id":"68155924-e92d-43bb-a911-95b52e806299","resolution":{"observed_at":"2026-08-05T04:46:45.489874Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.03255","last_updated":"2024-11-08T08:20:19Z","snapshot_observed_at":"2026-08-16T13:02:42.096868Z","submitted_at":"2024-11-05T16:53:22Z","title":"Error Interference in Quantum Simulation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.03255","snapshot_observed_at":"2026-08-05T04:46:45.493033Z","title":"Error interference in quantum simulation, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.493033Z"},"links":{"cited_paper":"/paper/2411.03255","citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:242a8858893ca1c63b3add1631e7d348125ffa34abd8482275012f77636a65cd","observation_id":"2fe24824-265b-4102-8356-a4da32a1c5ff","resolution":{"observed_at":"2026-08-05T04:46:45.493033Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.02783","last_updated":"2026-02-12T20:29:07Z","snapshot_observed_at":"2026-08-17T06:02:38.774785Z","submitted_at":"2025-07-03T16:47:29Z","title":"Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.02783","snapshot_observed_at":"2026-08-05T04:46:45.495708Z","title":"Uniform semiclassical observable error bound of Trotterization without the Egorov theorem: a simple algebraic proof, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.495708Z"},"links":{"cited_paper":"/paper/2507.02783","citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:9e6289f2b99a812473bc2d2441291bfce3a3be65ea210d6a9d8f7ce734e717f5","observation_id":"f9be7d2a-abbc-4b55-87e9-5dc1a09e019c","resolution":{"observed_at":"2026-08-05T04:46:45.495708Z","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":"2026-08-05T04:46:45.498732Z","title":"On the Trotter Error in Many-body Quantum Dynamics with Coulomb Potentials, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.498732Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:1b1a1f03ed3ce9737f13a01028b515327adfb893da898231010e06c341bad1c2","observation_id":"9a071268-aff4-42b2-8af2-723c50fce6ce","resolution":{"observed_at":"2026-08-05T04:46:45.498732Z","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":"2026-08-05T04:46:46.528285Z","title":"Time-dependent hamiltonian sim- ulation using discrete-clock constructions.PRX Quantum, 5(4):040316, 2024","venue":null,"work_id":"bcfe58ab-42de-455c-923d-4317aa5738b7","year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.502447Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:3f2fb8a6cce4be6984d82f7466d72cbd98e3564e222569332bd8abadb9038107","observation_id":"a71d45a7-8524-40d3-8d9c-a206b4029dc7","resolution":{"observed_at":"2026-08-05T04:46:46.531471Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.02966","last_updated":"2024-04-03T18:00:04Z","snapshot_observed_at":"2026-08-18T00:55:02.954243Z","submitted_at":"2024-04-03T18:00:04Z","title":"Hamiltonian Simulation in the Interaction Picture Using the Magnus Expansion","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.02966","snapshot_observed_at":"2026-08-05T04:46:45.505185Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.505185Z"},"links":{"cited_paper":"/paper/2404.02966","citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:c5e8297ee23cf8693373f95bed0a1be1b93a18557541db9ffb5b8b0a8c8c1fa9","observation_id":"ac87447e-d138-40aa-9cf1-01ba152933e8","resolution":{"observed_at":"2026-08-05T04:46:45.505185Z","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":"2026-08-05T04:46:46.518267Z","title":"Efficient and practical hamiltonian simulation from time-dependent product formulas","venue":null,"work_id":"5d464b60-f035-4304-a049-2ca510e695dd","year":2025},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.508123Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:33bbc1bc55109a392cf9e6a025c5d97cb2b4ebca79e85d93908096f1cf410600","observation_id":"a0afd275-6873-4954-b4f0-6f8fab880aac","resolution":{"observed_at":"2026-08-05T04:46:46.521875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.508825Z","title":"Blanes, F","venue":null,"work_id":"db8fa6e4-d1e1-4b57-be1a-fe526cd4bbbe","year":2009},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.510663Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:128db07cd71a8585b8acc1418a19f8a8788d6bcd89f0715b63fe41d4aa5fccfe","observation_id":"1bf1e09d-1bcb-444c-9cb3-1b233671f512","resolution":{"observed_at":"2026-08-05T04:46:46.511791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:45.513242Z","title":"Geometric numerical integration","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.513242Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:7bdc5fa37ac2410c5405349a2424b514790d7f9d500c1735208b4b2cd9ea49c7","observation_id":"5f4b2dfc-7b6f-45b2-8bf9-22b891f605a4","resolution":{"observed_at":"2026-08-05T04:46:45.513242Z","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":"2026-08-05T04:46:46.494842Z","title":"CRC press, 2017","venue":null,"work_id":"001620a4-c8b2-4516-b5ba-f95908a1f3fd","year":2017},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.516116Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:ff042dcbc9861146e235e8fb40f18a656da3d5e40c2400f1f909c57dd3c79240","observation_id":"00c3b8f1-9590-432f-972d-01c3a8103c68","resolution":{"observed_at":"2026-08-05T04:46:46.497647Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:45.518661Z","title":"Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.518661Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:0005aed359a70d6a5f745eefb6a3407938dd6850b31b14e86c59a4dd880abff9","observation_id":"f8045719-025c-45bf-8fec-8f584bb4e74b","resolution":{"observed_at":"2026-08-05T04:46:45.518661Z","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":"2026-08-05T04:46:46.479423Z","title":"A general formula for the magnus expansion in terms of iterated integrals of right-nested commutators.Journal of Physics Communications, 2(3):035024, mar 2018","venue":null,"work_id":"2d34075d-f323-4f19-b53a-4cdfc6930026","year":2018},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.521267Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:59e8701f1adea1cbf496e82cd06254b6f63d9890e59816c135fb5b4ac643f4f4","observation_id":"53f9143c-edef-4d87-919c-cbfc2b0c9599","resolution":{"observed_at":"2026-08-05T04:46:46.482666Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.469869Z","title":"On Magnus integrators for time-dependent Schr¨ odinger equa- tions.SIAM J","venue":null,"work_id":"3869d85c-8706-432e-82d5-b57e715973bd","year":2003},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.523838Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:50531b84446af6832bec50d85d415d17884d1a62a63752a6925bcd4fb8225bf9","observation_id":"f970c920-f0bd-4e7d-b526-725860a307d6","resolution":{"observed_at":"2026-08-05T04:46:46.473302Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.460947Z","title":"Block-encoding structured matrices for data input in quantum computing.Quantum, 8:1226, 2024","venue":null,"work_id":"3321e44a-b35c-495a-b534-e018c18d6ae4","year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.526448Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:0ecf7efda8874320c3871fbcf8155624851fa542b4a5b0ba5f1e055e9d837781","observation_id":"3d57ae5d-a8fd-4aab-b70b-779df515d0a4","resolution":{"observed_at":"2026-08-05T04:46:46.463920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:45.530060Z","title":"Explicit quantum circuits for block encodings of certain sparse matrices.SIAM Journal on Matrix Analysis and Applications, 45(1):801–827, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.530060Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:c5cdf56e8b47f856ced5edcec66f87ed3889dfb500de123469f96f3c1a4c551f","observation_id":"0974641b-080a-40b9-84e7-eea5669ee453","resolution":{"observed_at":"2026-08-05T04:46:45.530060Z","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":"2026-08-05T04:46:46.445605Z","title":"On efficient quantum block encoding of pseudo-differential operators.Quantum, 7:1031, 2023","venue":null,"work_id":"b19e3b63-c0bc-4b8b-863d-64e7294faef1","year":2023},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.532590Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:b8ef889674ea50d23910b7bcb36de47874b3f77ec6a1f6a42d36daa4d979158f","observation_id":"a0209a18-b79a-4913-a22a-d5ce0eb9141f","resolution":{"observed_at":"2026-08-05T04:46:46.448745Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:45.535411Z","title":"Encoding electronic spectra in quantum circuits with linear t complexity.Physical Review X, 8(4):041015, 2018","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.535411Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:803f6547f937b5ad8d84ef932a34061b93aaa614eb119795ea518cdaf27e7c29","observation_id":"46958075-d738-4e7f-be7c-e9cdf3eb4dd0","resolution":{"observed_at":"2026-08-05T04:46:45.535411Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.11205","last_updated":"2024-02-21T16:59:54Z","snapshot_observed_at":"2026-08-16T14:17:47.603737Z","submitted_at":"2024-02-17T06:04:00Z","title":"An Efficient Quantum Circuit for Block Encoding a Pairing Hamiltonian","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.11205","snapshot_observed_at":"2026-08-05T04:46:45.538081Z","title":"An efficient quantum circuit for block encoding a pairing hamiltonian.arXiv preprint arXiv:2402.11205, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.538081Z"},"links":{"cited_paper":"/paper/2402.11205","citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:b950f206d352dda821e164c53241f39add6c21498c1bab5c8cdf3edc9158b52a","observation_id":"23b4cfa2-a8ab-40a0-b3b4-b6ef71679385","resolution":{"observed_at":"2026-08-05T04:46:45.538081Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.08969","last_updated":"2025-05-13T07:26:41Z","snapshot_observed_at":"2026-08-16T14:18:45.258051Z","submitted_at":"2024-02-14T06:29:32Z","title":"Systematic many-fermion Hamiltonian input scheme and spectral calculations on quantum computers","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.08969","snapshot_observed_at":"2026-08-05T04:46:45.541065Z","title":"Hamiltonian input model and spectroscopy on quantum computers.arXiv preprint arXiv:2402.08969, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.541065Z"},"links":{"cited_paper":"/paper/2402.08969","citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:5c0db8ef2a64fe773b2df91f33f9444ff350bb7d671b565cd38ec5ff37414ecf","observation_id":"84e47e58-c181-4d75-bdac-8b129d78c501","resolution":{"observed_at":"2026-08-05T04:46:45.541065Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.04019","last_updated":"2025-05-02T19:03:14Z","snapshot_observed_at":"2026-08-16T13:02:23.311982Z","submitted_at":"2024-11-06T16:00:46Z","title":"Low-depth quantum symmetrization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.04019","snapshot_observed_at":"2026-08-05T04:46:45.543877Z","title":"Childs, and Daniel Gottesman","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.543877Z"},"links":{"cited_paper":"/paper/2411.04019","citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:139ba942c48d5d398d82a7a62ab4215ff44be50b69485d65c9ff24cc769886f2","observation_id":"83e746e5-1d42-401f-bf5d-0c1483250236","resolution":{"observed_at":"2026-08-05T04:46:45.543877Z","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":"2026-08-05T04:46:46.430031Z","title":"Improved Accuracy for Trotter Simulations Using Chebyshev Interpolation (QIP2025).Quantum, 8:1266, February 2024","venue":null,"work_id":"348cc7f4-3a20-43b6-96e2-2bb243f57cc8","year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.546708Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:d6525081e5150c2b8d17656319c6c7965eb2c510639eb64d970d6efbd0899130","observation_id":"17074c66-ed0d-4fd4-ae20-6715fab6f43f","resolution":{"observed_at":"2026-08-05T04:46:46.433687Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-05T04:46:46.420533Z","title":null,"venue":null,"work_id":"9e0b0c6d-0f9c-462f-bab9-3ce5c6c65baa","year":2024},"citing_paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-05T04:46:45.549471Z"},"links":{"citing_paper":"/paper/2509.06054"},"observation_digest":"sha256:167f4256e575ed818a78993b047847f8cdc7231d62ce0334849c4a80733d3fcb","observation_id":"54eb5fe6-56a3-483b-a298-4e57df8baf66","resolution":{"observed_at":"2026-08-05T04:46:46.423645Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.06054","last_updated":"2025-09-07T13:44:55Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-18T04:03:12.888649Z","submitted_at":"2025-09-07T13:44:55Z","title":"High-order Magnus Expansion for Hamiltonian Simulation"},"reference_resolution":{"displayed":71,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":25,"verified_exact":3,"verified_fuzzy":43},"total_outbound_references":71},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 4 inbound Pith citation observations for arXiv:2509.06054."}