{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SHLARQHPNTLMSOEVRFDATU427X","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":"ef5f72d081d554d6bf72f589de80b8e77082fade888a02c517e45a49bd78c32e","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-09T20:04:03Z","title_canon_sha256":"7995af229c6b365d338e677828a2986377c72aa2b886a3ec9cf293cbf7c63cff"},"schema_version":"1.0","source":{"id":"1705.03521","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.03521","created_at":"2026-05-18T00:09:05Z"},{"alias_kind":"arxiv_version","alias_value":"1705.03521v3","created_at":"2026-05-18T00:09:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03521","created_at":"2026-05-18T00:09:05Z"},{"alias_kind":"pith_short_12","alias_value":"SHLARQHPNTLM","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SHLARQHPNTLMSOEV","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SHLARQHP","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:aeb560c658ff2a5aa7c03409738e34386b12213892a0363a7bc503e104485fcf","target":"graph","created_at":"2026-05-18T00:09:05Z","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 property of superadditivity of the quantum relative entropy states that, in a bipartite system $\\mathcal{H}_{AB}=\\mathcal{H}_A \\otimes \\mathcal{H}_B$, for every density operator $\\rho_{AB}$ one has $ D( \\rho_{AB} || \\sigma_A \\otimes \\sigma_B ) \\ge D( \\rho_A || \\sigma_A ) +D( \\rho_B || \\sigma_B) $. In this work, we provide an extension of this inequality for arbitrary density operators $ \\sigma_{AB} $. More specifically, we prove that $ \\alpha (\\sigma_{AB})\\cdot D({\\rho_{AB}}||{\\sigma_{AB}}) \\ge D({\\rho_A}||{\\sigma_A})+D({\\rho_B}||{\\sigma_B})$ holds for all bipartite states $\\rho_{AB}$ and ","authors_text":"Angela Capel, Angelo Lucia, David P\\'erez-Garc\\'ia","cross_cats":["math-ph","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-09T20:04:03Z","title":"Superadditivity of quantum relative entropy for general states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03521","kind":"arxiv","version":3},"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":"sha256:9c302039caabc4e2eeccd4180941bae7d4f5004142bd5df68df2e09b40d52bdb","target":"record","created_at":"2026-05-18T00:09:05Z","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":"ef5f72d081d554d6bf72f589de80b8e77082fade888a02c517e45a49bd78c32e","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-09T20:04:03Z","title_canon_sha256":"7995af229c6b365d338e677828a2986377c72aa2b886a3ec9cf293cbf7c63cff"},"schema_version":"1.0","source":{"id":"1705.03521","kind":"arxiv","version":3}},"canonical_sha256":"91d608c0ef6cd6c93895894609d39afdc20ddb64644017b22b0e008c35fb6bb8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91d608c0ef6cd6c93895894609d39afdc20ddb64644017b22b0e008c35fb6bb8","first_computed_at":"2026-05-18T00:09:05.820330Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:05.820330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+pMGOP6dJEPPQkhyin8pvqHijKJId31YI5xL+GF2DQDdyminDs+T810qBljjNnXsOC4V28JKtr8ZBrcN7vA4CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:05.821067Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.03521","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c302039caabc4e2eeccd4180941bae7d4f5004142bd5df68df2e09b40d52bdb","sha256:aeb560c658ff2a5aa7c03409738e34386b12213892a0363a7bc503e104485fcf"],"state_sha256":"b58c0bb9f9a56511c7d62106d4b4ef3b737b762cac69f019bbb58b28034f4d1c"}