{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FF2UJSN5RBWSDTMG572HOLEPIB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"515abcde210885aecce74154943e4a414c2338bc85d0daff0c263a60c537ae89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-30T15:57:09Z","title_canon_sha256":"166a513f5522936b3044ab13ef18e89c8df51f598f9016360f911ae0b77da2ef"},"schema_version":"1.0","source":{"id":"1612.09512","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.09512","created_at":"2026-05-17T23:56:58Z"},{"alias_kind":"arxiv_version","alias_value":"1612.09512v3","created_at":"2026-05-17T23:56:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.09512","created_at":"2026-05-17T23:56:58Z"},{"alias_kind":"pith_short_12","alias_value":"FF2UJSN5RBWS","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FF2UJSN5RBWSDTMG","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FF2UJSN5","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:f37ef3799b3e2e9ace0c8fb01f0debf3184bae6f384b791021317dc52dcb931d","target":"graph","created_at":"2026-05-17T23:56:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider the natural generalization of the Schr\\\"{o}dinger equation to Markovian open system dynamics: the so-called the Lindblad equation. We give a quantum algorithm for simulating the evolution of an $n$-qubit system for time $t$ within precision $\\epsilon$. If the Lindbladian consists of $\\mathrm{poly}(n)$ operators that can each be expressed as a linear combination of $\\mathrm{poly}(n)$ tensor products of Pauli operators then the gate cost of our algorithm is $O(t\\, \\mathrm{polylog}(t/\\epsilon)\\mathrm{poly}(n))$. We also obtain similar bounds for the cases where the Lindbladian consist","authors_text":"Chunhao Wang, Richard Cleve","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-30T15:57:09Z","title":"Efficient Quantum Algorithms for Simulating Lindblad Evolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.09512","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:36b7f0ab6ba296e9beeb2a9aa56913739444367719df9e32d25c18e593a7e39d","target":"record","created_at":"2026-05-17T23:56:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"515abcde210885aecce74154943e4a414c2338bc85d0daff0c263a60c537ae89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-30T15:57:09Z","title_canon_sha256":"166a513f5522936b3044ab13ef18e89c8df51f598f9016360f911ae0b77da2ef"},"schema_version":"1.0","source":{"id":"1612.09512","kind":"arxiv","version":3}},"canonical_sha256":"297544c9bd886d21cd86eff4772c8f407d8ed297e40be3dd903a830de06f94ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"297544c9bd886d21cd86eff4772c8f407d8ed297e40be3dd903a830de06f94ea","first_computed_at":"2026-05-17T23:56:58.897203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:58.897203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8qeb9oFQ5BdrRGt2Whr8UhAQYce6WVV6TSRELb/0fW44mMEL6HBZgGH5CuKp0O+5jxNbKINuuvB93uwuL07dBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:58.897874Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.09512","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36b7f0ab6ba296e9beeb2a9aa56913739444367719df9e32d25c18e593a7e39d","sha256:f37ef3799b3e2e9ace0c8fb01f0debf3184bae6f384b791021317dc52dcb931d"],"state_sha256":"79096783cc4bedb55f2f11f083d505b28b8a37212ca041db353719674b8753a8"}