{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QY7RXSGTUYOYJRXIACCEM6G6GN","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":"3c8c9d676f67259afa35cd5e8e6e2dfb4df4842cdbc158488cf3ca3ce2dc6b9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-05T21:52:23Z","title_canon_sha256":"ba83bc8143a24984591ad3f1cf3fdfb3c1759d1f8ac7d5a61c61d3171fd738df"},"schema_version":"1.0","source":{"id":"1010.1030","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1030","created_at":"2026-05-18T04:39:49Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1030v1","created_at":"2026-05-18T04:39:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1030","created_at":"2026-05-18T04:39:49Z"},{"alias_kind":"pith_short_12","alias_value":"QY7RXSGTUYOY","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QY7RXSGTUYOYJRXI","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QY7RXSGT","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:4b54fb7ab6d178e944d2b3ae883cedeeef1cb977225f5e75dd56dcdc91e41ed8","target":"graph","created_at":"2026-05-18T04:39:49Z","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 aim of the present paper is to give axiomatic characterization of quantum relative entropy utilizing resource conversion scenario. We consider two sets of axioms: non-asymptotic and asymptotic. In the former setting, we prove that the upperbound and the lowerbund of $\\mathrm{D}^{Q}(\\rho||\\sigma) $ is $\\mathrm{D}^{R}(\\rho||\\sigma) :=\\mathrm{tr}% \\,\\rho\\ln\\sqrt{\\rho}\\sigma^{-1}\\sqrt{\\rho}$ and $\\mathrm{D}(\\rho||\\sigma) :=$ $\\mathrm{tr}\\,\\rho(\\ln\\rho-\\ln\\sigma) $, respectively. In the latter setting, we prove uniqueness of quantum relative entropy, that is, $\\mathrm{D}^{Q}(\\rho||\\sigma) $ sho","authors_text":"Keiji Matsumoto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-05T21:52:23Z","title":"Reverse Test and Characterization of Quantum Relative Entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1030","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":"sha256:91eeab4be3cc12e52e956756903361849154f44a528e9abfcc0359be127e4f08","target":"record","created_at":"2026-05-18T04:39:49Z","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":"3c8c9d676f67259afa35cd5e8e6e2dfb4df4842cdbc158488cf3ca3ce2dc6b9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-05T21:52:23Z","title_canon_sha256":"ba83bc8143a24984591ad3f1cf3fdfb3c1759d1f8ac7d5a61c61d3171fd738df"},"schema_version":"1.0","source":{"id":"1010.1030","kind":"arxiv","version":1}},"canonical_sha256":"863f1bc8d3a61d84c6e800844678de3341be6b1b1559f55e003adfeccc6fce59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"863f1bc8d3a61d84c6e800844678de3341be6b1b1559f55e003adfeccc6fce59","first_computed_at":"2026-05-18T04:39:49.948620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:49.948620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cwAz6ZQ1UfxjcAvePXAV84cPeu84tUeJ5miwdqNr4YMivm1HcsOleqYV20eScC5rHLFh5Mk9fe/K5HIoqriaAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:49.949151Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.1030","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91eeab4be3cc12e52e956756903361849154f44a528e9abfcc0359be127e4f08","sha256:4b54fb7ab6d178e944d2b3ae883cedeeef1cb977225f5e75dd56dcdc91e41ed8"],"state_sha256":"c3e712687bd41b7166f6d0a9ddf830079e7d54471735164bb549d107873d3e0d"}