{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XV6LR2PBTFJHBXGHULEVU34JLY","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":"01dee5aea19fb05c07d8a3df87037b86c3aebae62d2a54b10ecdfb2acb2eeeec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-09T10:44:39Z","title_canon_sha256":"7ef1c8a01d04c5d4a4d31b728bc2e9b6b4c8883069a1817f2b9ec3d94e55cf77"},"schema_version":"1.0","source":{"id":"1406.2130","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2130","created_at":"2026-05-18T02:19:36Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2130v4","created_at":"2026-05-18T02:19:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2130","created_at":"2026-05-18T02:19:36Z"},{"alias_kind":"pith_short_12","alias_value":"XV6LR2PBTFJH","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XV6LR2PBTFJHBXGH","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XV6LR2PB","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:ddb6465ebd56f4a918db2c027469fd85027baf0460b025538094e4b51108720c","target":"graph","created_at":"2026-05-18T02:19:36Z","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 information flow on a system's observable $X$ corresponding to a positive-operator valued measure under a quantum measurement process $Y$ described by a completely positive instrument from the viewpoint of the relative entropy. We establish a sufficient condition for the relative-entropy conservation law which states that the averaged decrease in the relative entropy of the system's observable $X$ equals the relative entropy of the measurement outcome of $Y$, i.e. the information gain due to measurement. This sufficient condition is interpreted as an assumption of classicality ","authors_text":"Masahito Ueda, Yui Kuramochi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-09T10:44:39Z","title":"Classicality condition on a system's observable in a quantum measurement and relative-entropy conservation law"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2130","kind":"arxiv","version":4},"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:a33f9e1b39e2e30f3f32ffa93711ad9ef471581957ffd8108c284081cea3503c","target":"record","created_at":"2026-05-18T02:19:36Z","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":"01dee5aea19fb05c07d8a3df87037b86c3aebae62d2a54b10ecdfb2acb2eeeec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-09T10:44:39Z","title_canon_sha256":"7ef1c8a01d04c5d4a4d31b728bc2e9b6b4c8883069a1817f2b9ec3d94e55cf77"},"schema_version":"1.0","source":{"id":"1406.2130","kind":"arxiv","version":4}},"canonical_sha256":"bd7cb8e9e1995270dcc7a2c95a6f895e273598763915aa9565ada1b47843be6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd7cb8e9e1995270dcc7a2c95a6f895e273598763915aa9565ada1b47843be6c","first_computed_at":"2026-05-18T02:19:36.167656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:36.167656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VXjowNErRFv3WEf4nnenCrKmt5fYBR4Sh6VhkCtGEDZ9dHGw4gYr+Ub3WhXaDdg/EtoAhEE3BbD+G0YAGvpABA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:36.168136Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.2130","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a33f9e1b39e2e30f3f32ffa93711ad9ef471581957ffd8108c284081cea3503c","sha256:ddb6465ebd56f4a918db2c027469fd85027baf0460b025538094e4b51108720c"],"state_sha256":"2b609907f733d5824cb7d8d8af6aef823d1d57d9baf9671b3c1e295b9e7d03e3"}