{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZKQJ7WUKTY75JEWWW46MMM57PM","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":"754b75e0ad20be8f1093b6b227ca0fd0208c1ae77d477b003f47c91775d2057f","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-11-16T15:34:00Z","title_canon_sha256":"852bcd4693f68a33a39969c8f74b01f2cf70f4797afac2374ed5d9e1b530f03d"},"schema_version":"1.0","source":{"id":"1111.3837","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3837","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3837v4","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3837","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"ZKQJ7WUKTY75","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"ZKQJ7WUKTY75JEWW","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"ZKQJ7WUK","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:bd86898750ee99b8381e2aa319b432f7a6b0b71cf8a80fd3322247a968d5d720","target":"graph","created_at":"2026-05-18T01:59:32Z","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 revisit the upper bound of quantum discord given by the von Neumann entropy of the measured subsystem. Using the Koashi-Winter relation, we obtain a trade-off between the amount of classical correlation and quantum discord in the tripartite pure states. The difference between the quantum discord and its upper bound is interpreted as a measure on the classical correlative capacity. Further, we give the explicit characterization of the quantum states saturating the upper bound of quantum discord, through the equality condition for the Araki-Lieb inequality. We also demonstrate that the satura","authors_text":"Xiaoguang Wang, Xiao-Ming Lu, Yongming Li, Zhengjun Xi","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-11-16T15:34:00Z","title":"Necessary and sufficient condition for saturating the upper bound of quantum discord"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3837","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":"sha256:26e56bdbfdc1465ea6dbf7f1a2208338363c1414cb52bffed8a025b517230a48","target":"record","created_at":"2026-05-18T01:59:32Z","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":"754b75e0ad20be8f1093b6b227ca0fd0208c1ae77d477b003f47c91775d2057f","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-11-16T15:34:00Z","title_canon_sha256":"852bcd4693f68a33a39969c8f74b01f2cf70f4797afac2374ed5d9e1b530f03d"},"schema_version":"1.0","source":{"id":"1111.3837","kind":"arxiv","version":4}},"canonical_sha256":"caa09fda8a9e3fd492d6b73cc633bf7b0991d7291c7d56a90840074bee15d31e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"caa09fda8a9e3fd492d6b73cc633bf7b0991d7291c7d56a90840074bee15d31e","first_computed_at":"2026-05-18T01:59:32.281801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:32.281801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ISstfZYK66jW4US8sosJul2RYijSfqWyxAYFKwnzIfPEaeWodp3FgdpHPqXXselThfi68encaTVefA69EYRzCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:32.282444Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3837","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26e56bdbfdc1465ea6dbf7f1a2208338363c1414cb52bffed8a025b517230a48","sha256:bd86898750ee99b8381e2aa319b432f7a6b0b71cf8a80fd3322247a968d5d720"],"state_sha256":"e3437b2a6dff33936b9df5f77b4621e6a83e7cd085bc8b6fabe978e323e7a54a"}