{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OBGQKFKVTFQC25WSCBFMAW2JON","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":"b9f17491d29f8e92abcc54f6e306fb10878b6fb89ab00d283c002b58c8b84899","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-15T21:22:12Z","title_canon_sha256":"ed403b4debeaf853bf99bfdda09079ad3f5aa7ac3407ec50432be0a847f4dad4"},"schema_version":"1.0","source":{"id":"1202.3449","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.3449","created_at":"2026-05-18T03:50:25Z"},{"alias_kind":"arxiv_version","alias_value":"1202.3449v2","created_at":"2026-05-18T03:50:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3449","created_at":"2026-05-18T03:50:25Z"},{"alias_kind":"pith_short_12","alias_value":"OBGQKFKVTFQC","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OBGQKFKVTFQC25WS","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OBGQKFKV","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:d52a606ab0bfb2845d28357c5ca158769519ca49206130c273ad869d8aa513ff","target":"graph","created_at":"2026-05-18T03:50:25Z","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":"It is easy to show coincidence of the entanglement-assisted classical capacity and the Holevo capacity for any c-q channel between finite dimensional quantum systems. In this paper we prove the converse assertion: coincidence of the above-mentioned capacities of a quantum channel implies that the $\\chi$-essential part of this channel is a c-q channel (the $\\chi$-essential part is a restriction of a channel obtained by discarding all input states useless for transmission of classical information).\n  The above observations are generalized to infinite dimensional quantum channels with linear cons","authors_text":"M.E. Shirokov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-15T21:22:12Z","title":"A criterion for coincidence of the entanglement-assisted classical capacity and the Holevo capacity of a quantum channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3449","kind":"arxiv","version":2},"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":"sha256:5f6bb1476d6de353a83a5cdd36106d034d507033ced6efd2d0fe4e4e07f31cba","target":"record","created_at":"2026-05-18T03:50:25Z","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":"b9f17491d29f8e92abcc54f6e306fb10878b6fb89ab00d283c002b58c8b84899","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-15T21:22:12Z","title_canon_sha256":"ed403b4debeaf853bf99bfdda09079ad3f5aa7ac3407ec50432be0a847f4dad4"},"schema_version":"1.0","source":{"id":"1202.3449","kind":"arxiv","version":2}},"canonical_sha256":"704d05155599602d76d2104ac05b49736aafb23820abaf9d395134c49d4881f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"704d05155599602d76d2104ac05b49736aafb23820abaf9d395134c49d4881f3","first_computed_at":"2026-05-18T03:50:25.431703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:50:25.431703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XQ1I8qMteQ/SGrmEszLqIOZBAqe3PHNcmIaBWOSKXIU/nsa9feUlQRVP8/Rvq+dVfsS0HQr0VROwjNeLI/9OCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:50:25.432573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.3449","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f6bb1476d6de353a83a5cdd36106d034d507033ced6efd2d0fe4e4e07f31cba","sha256:d52a606ab0bfb2845d28357c5ca158769519ca49206130c273ad869d8aa513ff"],"state_sha256":"0ab4692acb8a9b99ecb88f49cad46a2d56db743c684fcfb09d57923904511ad4"}