{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7L6JS7R3W2YGSKGKL5RRMM2J2W","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":"bfc862cece40e600443b8e768d0cf2948eeea520ebfaf343f57bf992c912f7d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-08-29T16:32:41Z","title_canon_sha256":"4f9dbf80f3647ce2adbe9a4110539354a028a61b811485362229e5cb38519184"},"schema_version":"1.0","source":{"id":"1608.08136","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08136","created_at":"2026-05-18T01:07:48Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08136v1","created_at":"2026-05-18T01:07:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08136","created_at":"2026-05-18T01:07:48Z"},{"alias_kind":"pith_short_12","alias_value":"7L6JS7R3W2YG","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7L6JS7R3W2YGSKGK","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7L6JS7R3","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:04f7b4e5ad65a150cd42a9c3e64dc60a206c4ca877b462cb2171c71c4ad54878","target":"graph","created_at":"2026-05-18T01:07:48Z","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":"The \"classical-quantum\" ($\\mathit{cq}$) discord of a bipartite state $\\rho^{AB}$ is the smallest difference between the mutual information $S(\\rho^{A:B})$ of $\\rho$ and that of $\\rho$ after a measurement channel is applied on the $A$ system. Relating zero discord to the strong subadditivity of the Von Neumann entropy, Datta proved that a state has zero $\\mathit{cq}$ discord iff and only if it can be written in the form $\\sum_i p_i\\, |i\\rangle\\langle i|\\otimes \\rho^B_i$ for $p_i$ a probability distribution, $|i\\rangle$ a basis of the $A$ system and $\\rho^B_i$ states of the $B$ system. We provid","authors_text":"Michel Boyer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-08-29T16:32:41Z","title":"Zero discord implies classicality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08136","kind":"arxiv","version":1},"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:c3df97deb559cc7f30566a41f8f931d49d4681ee7c482fb1f9704440474c291d","target":"record","created_at":"2026-05-18T01:07:48Z","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":"bfc862cece40e600443b8e768d0cf2948eeea520ebfaf343f57bf992c912f7d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-08-29T16:32:41Z","title_canon_sha256":"4f9dbf80f3647ce2adbe9a4110539354a028a61b811485362229e5cb38519184"},"schema_version":"1.0","source":{"id":"1608.08136","kind":"arxiv","version":1}},"canonical_sha256":"fafc997e3bb6b06928ca5f63163349d581042f2501f9862a6e6f30cfd29c3143","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fafc997e3bb6b06928ca5f63163349d581042f2501f9862a6e6f30cfd29c3143","first_computed_at":"2026-05-18T01:07:48.609558Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:48.609558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4dO/2qC1W7ZhF827zQKSS4/nPA+LwIKEpvaSB4wsVm/K08XUNO7pbG7DCBiIrCTZfdkdXKDr5pgim1MQhBN3BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:48.610142Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.08136","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3df97deb559cc7f30566a41f8f931d49d4681ee7c482fb1f9704440474c291d","sha256:04f7b4e5ad65a150cd42a9c3e64dc60a206c4ca877b462cb2171c71c4ad54878"],"state_sha256":"18e690e1f0756b56fdc77ef7768f4ef27460eb1fb6930a41aa6cc2105cf0565a"}