{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ER52HSB2LJEGOBVNW4JG6NFW5E","short_pith_number":"pith:ER52HSB2","schema_version":"1.0","canonical_sha256":"247ba3c83a5a486706adb7126f34b6e90d4da188874d719f75823a308289cbaa","source":{"kind":"arxiv","id":"1412.4687","version":1},"attestation_state":"computed","paper":{"title":"Simulating Hamiltonian dynamics with a truncated Taylor series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andrew M. Childs, Dominic W. Berry, Richard Cleve, Robin Kothari, Rolando D. Somma","submitted_at":"2014-12-15T17:33:10Z","abstract_excerpt":"We describe a simple, efficient method for simulating Hamiltonian dynamics on a quantum computer by approximating the truncated Taylor series of the evolution operator. Our method can simulate the time evolution of a wide variety of physical systems. As in another recent algorithm, the cost of our method depends only logarithmically on the inverse of the desired precision, which is optimal. However, we simplify the algorithm and its analysis by using a method for implementing linear combinations of unitary operations to directly apply the truncated Taylor series."},"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":"1412.4687","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-12-15T17:33:10Z","cross_cats_sorted":[],"title_canon_sha256":"0c78101b796aecf0148166be0544d2b28f305aadd1949f4cf43c38c9b3a61fa4","abstract_canon_sha256":"3ef7d1468cae0441b491a0f080b3e74fd929f5ddac23d75e5b68eec5a3d0feba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:33.806633Z","signature_b64":"ggen1YlH04Qa4F9v6BnaKKxvQC51nv6n+NxWmdcVgPxZQ5dZPIT4tDb1NNTluTLUrZmwn8/ZpK8s7kGvUGo3BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"247ba3c83a5a486706adb7126f34b6e90d4da188874d719f75823a308289cbaa","last_reissued_at":"2026-05-18T02:25:33.806185Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:33.806185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simulating Hamiltonian dynamics with a truncated Taylor series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andrew M. Childs, Dominic W. Berry, Richard Cleve, Robin Kothari, Rolando D. Somma","submitted_at":"2014-12-15T17:33:10Z","abstract_excerpt":"We describe a simple, efficient method for simulating Hamiltonian dynamics on a quantum computer by approximating the truncated Taylor series of the evolution operator. Our method can simulate the time evolution of a wide variety of physical systems. As in another recent algorithm, the cost of our method depends only logarithmically on the inverse of the desired precision, which is optimal. However, we simplify the algorithm and its analysis by using a method for implementing linear combinations of unitary operations to directly apply the truncated Taylor series."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4687","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":""},"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":"1412.4687","created_at":"2026-05-18T02:25:33.806247+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.4687v1","created_at":"2026-05-18T02:25:33.806247+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4687","created_at":"2026-05-18T02:25:33.806247+00:00"},{"alias_kind":"pith_short_12","alias_value":"ER52HSB2LJEG","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"ER52HSB2LJEGOBVN","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"ER52HSB2","created_at":"2026-05-18T12:28:28.263976+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2605.23670","citing_title":"Twirled Perfect Tensor Networks: Computationally covariant holographic tensor networks","ref_index":53,"is_internal_anchor":true},{"citing_arxiv_id":"2312.05344","citing_title":"Quantum Algorithms for Simulating Nuclear Effective Field Theories","ref_index":171,"is_internal_anchor":true},{"citing_arxiv_id":"2603.01809","citing_title":"Finite-Depth, Finite-Shot Guarantees for Constrained Quantum Optimization via Fej\\'er Filtering","ref_index":31,"is_internal_anchor":true},{"citing_arxiv_id":"2605.10768","citing_title":"Unitaria: Quantum Linear Algebra via Block Encodings","ref_index":33,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ER52HSB2LJEGOBVNW4JG6NFW5E","json":"https://pith.science/pith/ER52HSB2LJEGOBVNW4JG6NFW5E.json","graph_json":"https://pith.science/api/pith-number/ER52HSB2LJEGOBVNW4JG6NFW5E/graph.json","events_json":"https://pith.science/api/pith-number/ER52HSB2LJEGOBVNW4JG6NFW5E/events.json","paper":"https://pith.science/paper/ER52HSB2"},"agent_actions":{"view_html":"https://pith.science/pith/ER52HSB2LJEGOBVNW4JG6NFW5E","download_json":"https://pith.science/pith/ER52HSB2LJEGOBVNW4JG6NFW5E.json","view_paper":"https://pith.science/paper/ER52HSB2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.4687&json=true","fetch_graph":"https://pith.science/api/pith-number/ER52HSB2LJEGOBVNW4JG6NFW5E/graph.json","fetch_events":"https://pith.science/api/pith-number/ER52HSB2LJEGOBVNW4JG6NFW5E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ER52HSB2LJEGOBVNW4JG6NFW5E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ER52HSB2LJEGOBVNW4JG6NFW5E/action/storage_attestation","attest_author":"https://pith.science/pith/ER52HSB2LJEGOBVNW4JG6NFW5E/action/author_attestation","sign_citation":"https://pith.science/pith/ER52HSB2LJEGOBVNW4JG6NFW5E/action/citation_signature","submit_replication":"https://pith.science/pith/ER52HSB2LJEGOBVNW4JG6NFW5E/action/replication_record"}},"created_at":"2026-05-18T02:25:33.806247+00:00","updated_at":"2026-05-18T02:25:33.806247+00:00"}