{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:VSEXTBMQLLCR3X25CH2WY4CMUD","short_pith_number":"pith:VSEXTBMQ","schema_version":"1.0","canonical_sha256":"ac897985905ac51ddf5d11f56c704ca0c606b88f50ddb3da05f03457dde97a2e","source":{"kind":"arxiv","id":"1808.06980","version":3},"attestation_state":"computed","paper":{"title":"Entropy of a quantum channel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.IT","hep-th","math-ph","math.IT","math.MP"],"primary_cat":"quant-ph","authors_text":"Gilad Gour, Mark M. Wilde","submitted_at":"2018-08-21T15:56:55Z","abstract_excerpt":"The von Neumann entropy of a quantum state is a central concept in physics and information theory, having a number of compelling physical interpretations. There is a certain perspective that the most fundamental notion in quantum mechanics is that of a quantum channel, as quantum states, unitary evolutions, measurements, and discarding of quantum systems can each be regarded as certain kinds of quantum channels. Thus, an important goal is to define a consistent and meaningful notion of the entropy of a quantum channel. Motivated by the fact that the entropy of a state $\\rho$ can be formulated "},"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":"1808.06980","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-08-21T15:56:55Z","cross_cats_sorted":["cond-mat.stat-mech","cs.IT","hep-th","math-ph","math.IT","math.MP"],"title_canon_sha256":"67c7f657820e04f8a12506fda35fa13275cdcf02828bb99a3e41f6574574b49f","abstract_canon_sha256":"77ab3b21e007e4552bd05424f8d18b1ee3f0616589b2deca3276f57e2700a270"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:39:34.375610Z","signature_b64":"xjkgaH8jakIABw/OoDgPexw9MTNrG2+isSI9GNAT0s7VpWYM++kHilU+InXlPgJLa+xsqqtmIcn4S/NVOh+LDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac897985905ac51ddf5d11f56c704ca0c606b88f50ddb3da05f03457dde97a2e","last_reissued_at":"2026-07-05T02:39:34.375089Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:39:34.375089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entropy of a quantum channel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.IT","hep-th","math-ph","math.IT","math.MP"],"primary_cat":"quant-ph","authors_text":"Gilad Gour, Mark M. Wilde","submitted_at":"2018-08-21T15:56:55Z","abstract_excerpt":"The von Neumann entropy of a quantum state is a central concept in physics and information theory, having a number of compelling physical interpretations. There is a certain perspective that the most fundamental notion in quantum mechanics is that of a quantum channel, as quantum states, unitary evolutions, measurements, and discarding of quantum systems can each be regarded as certain kinds of quantum channels. Thus, an important goal is to define a consistent and meaningful notion of the entropy of a quantum channel. Motivated by the fact that the entropy of a state $\\rho$ can be formulated "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.06980","kind":"arxiv","version":3},"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/1808.06980/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":"1808.06980","created_at":"2026-07-05T02:39:34.375164+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.06980v3","created_at":"2026-07-05T02:39:34.375164+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.06980","created_at":"2026-07-05T02:39:34.375164+00:00"},{"alias_kind":"pith_short_12","alias_value":"VSEXTBMQLLCR","created_at":"2026-07-05T02:39:34.375164+00:00"},{"alias_kind":"pith_short_16","alias_value":"VSEXTBMQLLCR3X25","created_at":"2026-07-05T02:39:34.375164+00:00"},{"alias_kind":"pith_short_8","alias_value":"VSEXTBMQ","created_at":"2026-07-05T02:39:34.375164+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.03993","citing_title":"Thermalization with partial information","ref_index":67,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VSEXTBMQLLCR3X25CH2WY4CMUD","json":"https://pith.science/pith/VSEXTBMQLLCR3X25CH2WY4CMUD.json","graph_json":"https://pith.science/api/pith-number/VSEXTBMQLLCR3X25CH2WY4CMUD/graph.json","events_json":"https://pith.science/api/pith-number/VSEXTBMQLLCR3X25CH2WY4CMUD/events.json","paper":"https://pith.science/paper/VSEXTBMQ"},"agent_actions":{"view_html":"https://pith.science/pith/VSEXTBMQLLCR3X25CH2WY4CMUD","download_json":"https://pith.science/pith/VSEXTBMQLLCR3X25CH2WY4CMUD.json","view_paper":"https://pith.science/paper/VSEXTBMQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.06980&json=true","fetch_graph":"https://pith.science/api/pith-number/VSEXTBMQLLCR3X25CH2WY4CMUD/graph.json","fetch_events":"https://pith.science/api/pith-number/VSEXTBMQLLCR3X25CH2WY4CMUD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VSEXTBMQLLCR3X25CH2WY4CMUD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VSEXTBMQLLCR3X25CH2WY4CMUD/action/storage_attestation","attest_author":"https://pith.science/pith/VSEXTBMQLLCR3X25CH2WY4CMUD/action/author_attestation","sign_citation":"https://pith.science/pith/VSEXTBMQLLCR3X25CH2WY4CMUD/action/citation_signature","submit_replication":"https://pith.science/pith/VSEXTBMQLLCR3X25CH2WY4CMUD/action/replication_record"}},"created_at":"2026-07-05T02:39:34.375164+00:00","updated_at":"2026-07-05T02:39:34.375164+00:00"}