{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:B5SCNFMNE2RHOG7CQ5DSGCYCA7","short_pith_number":"pith:B5SCNFMN","schema_version":"1.0","canonical_sha256":"0f6426958d26a2771be28747230b0207e202bee86092d27d64a9636f09dee8fb","source":{"kind":"arxiv","id":"quant-ph/0608057","version":2},"attestation_state":"computed","paper":{"title":"Is efficiency of classical simulations of quantum dynamics related to integrability?","license":"","headline":"","cross_cats":["cond-mat.other","nlin.SI"],"primary_cat":"quant-ph","authors_text":"Marko Znidaric, Tomaz Prosen","submitted_at":"2006-08-07T11:25:41Z","abstract_excerpt":"Efficiency of time-evolution of quantum observables, and thermal states of quenched hamiltonians, is studied using time-dependent density matrix renormalization group method in a family of generic quantum spin chains which undergo a transition from integrable to non-integrable - quantum chaotic case as control parameters are varied. Quantum states (observables) are represented in terms of matrix-product-operators with rank D_\\epsilon(t), such that evolution of a long chain is accurate within fidelity error \\epsilon up to time t. We find that rank generally increases exponentially, D_\\epsilon(t"},"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":"quant-ph/0608057","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-08-07T11:25:41Z","cross_cats_sorted":["cond-mat.other","nlin.SI"],"title_canon_sha256":"c6da84a8936b29e76dd218bc14e81a47c1187f672e714daed7adcf3115956652","abstract_canon_sha256":"52fc2db6498810924a3ebae431c8f9e51dc33d7d05d7b103a9bcd5cada211e1b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:58:46.425816Z","signature_b64":"FMuznaTuwf74H+/2PK+NzzVrHfjlNqT/c071e58DHYuCg5/eIUe6peFQJQ8WMHlnieVhTL9rmDbqbY3pKR1BAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f6426958d26a2771be28747230b0207e202bee86092d27d64a9636f09dee8fb","last_reissued_at":"2026-07-04T14:58:46.425441Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:58:46.425441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Is efficiency of classical simulations of quantum dynamics related to integrability?","license":"","headline":"","cross_cats":["cond-mat.other","nlin.SI"],"primary_cat":"quant-ph","authors_text":"Marko Znidaric, Tomaz Prosen","submitted_at":"2006-08-07T11:25:41Z","abstract_excerpt":"Efficiency of time-evolution of quantum observables, and thermal states of quenched hamiltonians, is studied using time-dependent density matrix renormalization group method in a family of generic quantum spin chains which undergo a transition from integrable to non-integrable - quantum chaotic case as control parameters are varied. Quantum states (observables) are represented in terms of matrix-product-operators with rank D_\\epsilon(t), such that evolution of a long chain is accurate within fidelity error \\epsilon up to time t. We find that rank generally increases exponentially, D_\\epsilon(t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0608057","kind":"arxiv","version":2},"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/quant-ph/0608057/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":"quant-ph/0608057","created_at":"2026-07-04T14:58:46.425503+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0608057v2","created_at":"2026-07-04T14:58:46.425503+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0608057","created_at":"2026-07-04T14:58:46.425503+00:00"},{"alias_kind":"pith_short_12","alias_value":"B5SCNFMNE2RH","created_at":"2026-07-04T14:58:46.425503+00:00"},{"alias_kind":"pith_short_16","alias_value":"B5SCNFMNE2RHOG7C","created_at":"2026-07-04T14:58:46.425503+00:00"},{"alias_kind":"pith_short_8","alias_value":"B5SCNFMN","created_at":"2026-07-04T14:58:46.425503+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B5SCNFMNE2RHOG7CQ5DSGCYCA7","json":"https://pith.science/pith/B5SCNFMNE2RHOG7CQ5DSGCYCA7.json","graph_json":"https://pith.science/api/pith-number/B5SCNFMNE2RHOG7CQ5DSGCYCA7/graph.json","events_json":"https://pith.science/api/pith-number/B5SCNFMNE2RHOG7CQ5DSGCYCA7/events.json","paper":"https://pith.science/paper/B5SCNFMN"},"agent_actions":{"view_html":"https://pith.science/pith/B5SCNFMNE2RHOG7CQ5DSGCYCA7","download_json":"https://pith.science/pith/B5SCNFMNE2RHOG7CQ5DSGCYCA7.json","view_paper":"https://pith.science/paper/B5SCNFMN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0608057&json=true","fetch_graph":"https://pith.science/api/pith-number/B5SCNFMNE2RHOG7CQ5DSGCYCA7/graph.json","fetch_events":"https://pith.science/api/pith-number/B5SCNFMNE2RHOG7CQ5DSGCYCA7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B5SCNFMNE2RHOG7CQ5DSGCYCA7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B5SCNFMNE2RHOG7CQ5DSGCYCA7/action/storage_attestation","attest_author":"https://pith.science/pith/B5SCNFMNE2RHOG7CQ5DSGCYCA7/action/author_attestation","sign_citation":"https://pith.science/pith/B5SCNFMNE2RHOG7CQ5DSGCYCA7/action/citation_signature","submit_replication":"https://pith.science/pith/B5SCNFMNE2RHOG7CQ5DSGCYCA7/action/replication_record"}},"created_at":"2026-07-04T14:58:46.425503+00:00","updated_at":"2026-07-04T14:58:46.425503+00:00"}