{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5WDPQQ3Z7AVPSMOA7JTPSMHPFR","short_pith_number":"pith:5WDPQQ3Z","schema_version":"1.0","canonical_sha256":"ed86f84379f82af931c0fa66f930ef2c61969fb845bfa8061e88fd98214f489f","source":{"kind":"arxiv","id":"1104.2992","version":4},"attestation_state":"computed","paper":{"title":"Von Neumann Entropy-Preserving Quantum Operations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.OA"],"primary_cat":"quant-ph","authors_text":"Junde Wu, Lin Zhang","submitted_at":"2011-04-15T09:04:35Z","abstract_excerpt":"For a given quantum state $\\rho$ and two quantum operations $\\Phi$ and $\\Psi$, the information encoded in the quantum state $\\rho$ is quantified by its von Neumann entropy $\\S(\\rho)$. By the famous Choi-Jamio{\\l}kowski isomorphism, the quantum operation $\\Phi$ can be transformed into a bipartite state, the von Neumann entropy $\\S^{\\mathrm{map}}(\\Phi)$ of the bipartite state describes the decoherence induced by $\\Phi$. In this Letter, we characterize not only the pairs $(\\Phi, \\rho)$ which satisfy $\\S(\\Phi(\\rho))=\\S(\\rho)$, but also the pairs $(\\Phi, \\Psi)$ which satisfy $\\S^{\\mathrm{map}}(\\Phi"},"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":"1104.2992","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-15T09:04:35Z","cross_cats_sorted":["math-ph","math.MP","math.OA"],"title_canon_sha256":"28fdd1741a30a8068af80a7a2b901817d9173e72909c59af9b02afbcfe9cbf9b","abstract_canon_sha256":"9176d5f6db99a3620af334d8bc729111dbb385203e8b2029d81571992390e95f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:10.432458Z","signature_b64":"bKnxCCHLsCLEPbmKqIQHONYR6KY405vpDYV2xDDFYpp4ZOeZ3xGD9dPv6bJVPszZ45P/6ITVOFCDViyyEPk3Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed86f84379f82af931c0fa66f930ef2c61969fb845bfa8061e88fd98214f489f","last_reissued_at":"2026-05-18T04:10:10.431717Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:10.431717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Von Neumann Entropy-Preserving Quantum Operations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.OA"],"primary_cat":"quant-ph","authors_text":"Junde Wu, Lin Zhang","submitted_at":"2011-04-15T09:04:35Z","abstract_excerpt":"For a given quantum state $\\rho$ and two quantum operations $\\Phi$ and $\\Psi$, the information encoded in the quantum state $\\rho$ is quantified by its von Neumann entropy $\\S(\\rho)$. By the famous Choi-Jamio{\\l}kowski isomorphism, the quantum operation $\\Phi$ can be transformed into a bipartite state, the von Neumann entropy $\\S^{\\mathrm{map}}(\\Phi)$ of the bipartite state describes the decoherence induced by $\\Phi$. In this Letter, we characterize not only the pairs $(\\Phi, \\rho)$ which satisfy $\\S(\\Phi(\\rho))=\\S(\\rho)$, but also the pairs $(\\Phi, \\Psi)$ which satisfy $\\S^{\\mathrm{map}}(\\Phi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2992","kind":"arxiv","version":4},"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":"1104.2992","created_at":"2026-05-18T04:10:10.431828+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.2992v4","created_at":"2026-05-18T04:10:10.431828+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2992","created_at":"2026-05-18T04:10:10.431828+00:00"},{"alias_kind":"pith_short_12","alias_value":"5WDPQQ3Z7AVP","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"5WDPQQ3Z7AVPSMOA","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"5WDPQQ3Z","created_at":"2026-05-18T12:26:20.644004+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/5WDPQQ3Z7AVPSMOA7JTPSMHPFR","json":"https://pith.science/pith/5WDPQQ3Z7AVPSMOA7JTPSMHPFR.json","graph_json":"https://pith.science/api/pith-number/5WDPQQ3Z7AVPSMOA7JTPSMHPFR/graph.json","events_json":"https://pith.science/api/pith-number/5WDPQQ3Z7AVPSMOA7JTPSMHPFR/events.json","paper":"https://pith.science/paper/5WDPQQ3Z"},"agent_actions":{"view_html":"https://pith.science/pith/5WDPQQ3Z7AVPSMOA7JTPSMHPFR","download_json":"https://pith.science/pith/5WDPQQ3Z7AVPSMOA7JTPSMHPFR.json","view_paper":"https://pith.science/paper/5WDPQQ3Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.2992&json=true","fetch_graph":"https://pith.science/api/pith-number/5WDPQQ3Z7AVPSMOA7JTPSMHPFR/graph.json","fetch_events":"https://pith.science/api/pith-number/5WDPQQ3Z7AVPSMOA7JTPSMHPFR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5WDPQQ3Z7AVPSMOA7JTPSMHPFR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5WDPQQ3Z7AVPSMOA7JTPSMHPFR/action/storage_attestation","attest_author":"https://pith.science/pith/5WDPQQ3Z7AVPSMOA7JTPSMHPFR/action/author_attestation","sign_citation":"https://pith.science/pith/5WDPQQ3Z7AVPSMOA7JTPSMHPFR/action/citation_signature","submit_replication":"https://pith.science/pith/5WDPQQ3Z7AVPSMOA7JTPSMHPFR/action/replication_record"}},"created_at":"2026-05-18T04:10:10.431828+00:00","updated_at":"2026-05-18T04:10:10.431828+00:00"}