{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:3L2O3NR4WBB6XKOYITPWK52ZQD","short_pith_number":"pith:3L2O3NR4","schema_version":"1.0","canonical_sha256":"daf4edb63cb043eba9d844df65775980c0b96bf5576aa1a3fa80cf8ef91f931e","source":{"kind":"arxiv","id":"2404.02966","version":1},"attestation_state":"computed","paper":{"title":"Hamiltonian Simulation in the Interaction Picture Using the Magnus Expansion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Kunal Sharma, Minh C. Tran","submitted_at":"2024-04-03T18:00:04Z","abstract_excerpt":"We propose an algorithm for simulating the dynamics of a geometrically local Hamiltonian $A$ under a small geometrically local perturbation $\\alpha B$. In certain regimes, the algorithm achieves the optimal scaling and outperforms the state-of-the-art algorithms. By moving into the interaction frame of $A$ and classically computing the Magnus expansion of the interaction-picture Hamiltonian, our algorithm bypasses the need for ancillary qubits. In analyzing its performance, we develop a framework to capture the quasi-locality of the Magnus operators, leading to a tightened bound for the error "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2404.02966","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-04-03T18:00:04Z","cross_cats_sorted":[],"title_canon_sha256":"f8054aacf2b50cb022d47ad8faa0ef2ea5a99248da7903afa72e752c3918731e","abstract_canon_sha256":"4772689289b79601ada65947ad6416b161c200d0af466aed3389ca7e71637b65"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:04:04.291234Z","signature_b64":"Uh+zJ/KmxGnJ0Xfbpffu/LSo8SRCSnYvwkKk/Ldv/ZWwa6yxtAD5EiqnRwWRol5cljEyI0Cxx0LO3F19SAm8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"daf4edb63cb043eba9d844df65775980c0b96bf5576aa1a3fa80cf8ef91f931e","last_reissued_at":"2026-07-05T08:04:04.290756Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:04:04.290756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hamiltonian Simulation in the Interaction Picture Using the Magnus Expansion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Kunal Sharma, Minh C. Tran","submitted_at":"2024-04-03T18:00:04Z","abstract_excerpt":"We propose an algorithm for simulating the dynamics of a geometrically local Hamiltonian $A$ under a small geometrically local perturbation $\\alpha B$. In certain regimes, the algorithm achieves the optimal scaling and outperforms the state-of-the-art algorithms. By moving into the interaction frame of $A$ and classically computing the Magnus expansion of the interaction-picture Hamiltonian, our algorithm bypasses the need for ancillary qubits. In analyzing its performance, we develop a framework to capture the quasi-locality of the Magnus operators, leading to a tightened bound for the error "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.02966","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.02966/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2404.02966","created_at":"2026-07-05T08:04:04.290813+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.02966v1","created_at":"2026-07-05T08:04:04.290813+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.02966","created_at":"2026-07-05T08:04:04.290813+00:00"},{"alias_kind":"pith_short_12","alias_value":"3L2O3NR4WBB6","created_at":"2026-07-05T08:04:04.290813+00:00"},{"alias_kind":"pith_short_16","alias_value":"3L2O3NR4WBB6XKOY","created_at":"2026-07-05T08:04:04.290813+00:00"},{"alias_kind":"pith_short_8","alias_value":"3L2O3NR4","created_at":"2026-07-05T08:04:04.290813+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2509.19709","citing_title":"Quantum Computing Beyond Ground State Electronic Structure: A Review of Progress Toward Quantum Chemistry Out of the Ground State","ref_index":132,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3L2O3NR4WBB6XKOYITPWK52ZQD","json":"https://pith.science/pith/3L2O3NR4WBB6XKOYITPWK52ZQD.json","graph_json":"https://pith.science/api/pith-number/3L2O3NR4WBB6XKOYITPWK52ZQD/graph.json","events_json":"https://pith.science/api/pith-number/3L2O3NR4WBB6XKOYITPWK52ZQD/events.json","paper":"https://pith.science/paper/3L2O3NR4"},"agent_actions":{"view_html":"https://pith.science/pith/3L2O3NR4WBB6XKOYITPWK52ZQD","download_json":"https://pith.science/pith/3L2O3NR4WBB6XKOYITPWK52ZQD.json","view_paper":"https://pith.science/paper/3L2O3NR4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.02966&json=true","fetch_graph":"https://pith.science/api/pith-number/3L2O3NR4WBB6XKOYITPWK52ZQD/graph.json","fetch_events":"https://pith.science/api/pith-number/3L2O3NR4WBB6XKOYITPWK52ZQD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3L2O3NR4WBB6XKOYITPWK52ZQD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3L2O3NR4WBB6XKOYITPWK52ZQD/action/storage_attestation","attest_author":"https://pith.science/pith/3L2O3NR4WBB6XKOYITPWK52ZQD/action/author_attestation","sign_citation":"https://pith.science/pith/3L2O3NR4WBB6XKOYITPWK52ZQD/action/citation_signature","submit_replication":"https://pith.science/pith/3L2O3NR4WBB6XKOYITPWK52ZQD/action/replication_record"}},"created_at":"2026-07-05T08:04:04.290813+00:00","updated_at":"2026-07-05T08:04:04.290813+00:00"}