{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:BLN7EK2BBDGFAL5375W74BDEOZ","short_pith_number":"pith:BLN7EK2B","canonical_record":{"source":{"id":"0907.3386","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-07-20T19:43:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f92655df3163d0939aba41bc56b98f2b065a1a07bf317f969489f27c867c71ae","abstract_canon_sha256":"b488f4c87246076280a229d595c8491c421b4b83eca6ce18b2c13655f8a362a5"},"schema_version":"1.0"},"canonical_sha256":"0adbf22b4108cc502fbbff6dfe0464767b0c776f2abca81f0d10ad6066d6bad7","source":{"kind":"arxiv","id":"0907.3386","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3386","created_at":"2026-05-18T04:40:10Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3386v4","created_at":"2026-05-18T04:40:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3386","created_at":"2026-05-18T04:40:10Z"},{"alias_kind":"pith_short_12","alias_value":"BLN7EK2BBDGF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"BLN7EK2BBDGFAL53","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"BLN7EK2B","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:BLN7EK2BBDGFAL5375W74BDEOZ","target":"record","payload":{"canonical_record":{"source":{"id":"0907.3386","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-07-20T19:43:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f92655df3163d0939aba41bc56b98f2b065a1a07bf317f969489f27c867c71ae","abstract_canon_sha256":"b488f4c87246076280a229d595c8491c421b4b83eca6ce18b2c13655f8a362a5"},"schema_version":"1.0"},"canonical_sha256":"0adbf22b4108cc502fbbff6dfe0464767b0c776f2abca81f0d10ad6066d6bad7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:10.530266Z","signature_b64":"G+Uoa6xq6d14nnDI13bhCcctx0ydsZaY4MX/DWl/ZZXXQEwjZBH0o7gfgCF3Q/fWghZCDa7fx3YOOEsEGfc9Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0adbf22b4108cc502fbbff6dfe0464767b0c776f2abca81f0d10ad6066d6bad7","last_reissued_at":"2026-05-18T04:40:10.529673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:10.529673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.3386","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:40:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/plXQDJqLPLbu6J5rsx10XQnZ6bSNeuwmjwSFrbmFVzOoAQnSZ7cZ+7tzFFVjaqcSOaARE0VgX/GFfkBd/O7Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:29:55.658618Z"},"content_sha256":"4eb4e3a8ca9b7c2dfdbd54110b0e0ea8c264460bad8b7e65362ea308a0a69813","schema_version":"1.0","event_id":"sha256:4eb4e3a8ca9b7c2dfdbd54110b0e0ea8c264460bad8b7e65362ea308a0a69813"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:BLN7EK2BBDGFAL5375W74BDEOZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on the maximum overlap problem using directional iterates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Jon Tyson","submitted_at":"2009-07-20T19:43:59Z","abstract_excerpt":"In a unified framework, we obtain two-sided estimates of the following quantities of interest in quantum information theory:\n  1.The minimum-error distinguishability of arbitrary ensembles of mixed quantum states.\n  2.The approximate reversibility of quantum dynamics in terms of entanglement fidelity. (This is also referred to as \"channel-adapted quantum error recovery\" when the reversed channel is the composition of an encoding operation and a noise channel.)\n  3.The maximum overlap between a bipartite pure quantum state and a bipartite mixed state that may be achieved by applying a local qua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3386","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:40:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xo/Vq95ciQjYnKWRNFMOXpjcdd26sUcQiEbsk0b46MVvrbn1Pwj1ITWmBJ5ll9vSrP67YlxiNc91H82OhR0jCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:29:55.659002Z"},"content_sha256":"bc103781bb6d8a45b41a841f38a1cb170f91d84f81d554d804013dfbc2edd126","schema_version":"1.0","event_id":"sha256:bc103781bb6d8a45b41a841f38a1cb170f91d84f81d554d804013dfbc2edd126"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BLN7EK2BBDGFAL5375W74BDEOZ/bundle.json","state_url":"https://pith.science/pith/BLN7EK2BBDGFAL5375W74BDEOZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BLN7EK2BBDGFAL5375W74BDEOZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T06:29:55Z","links":{"resolver":"https://pith.science/pith/BLN7EK2BBDGFAL5375W74BDEOZ","bundle":"https://pith.science/pith/BLN7EK2BBDGFAL5375W74BDEOZ/bundle.json","state":"https://pith.science/pith/BLN7EK2BBDGFAL5375W74BDEOZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BLN7EK2BBDGFAL5375W74BDEOZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:BLN7EK2BBDGFAL5375W74BDEOZ","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":"b488f4c87246076280a229d595c8491c421b4b83eca6ce18b2c13655f8a362a5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-07-20T19:43:59Z","title_canon_sha256":"f92655df3163d0939aba41bc56b98f2b065a1a07bf317f969489f27c867c71ae"},"schema_version":"1.0","source":{"id":"0907.3386","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3386","created_at":"2026-05-18T04:40:10Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3386v4","created_at":"2026-05-18T04:40:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3386","created_at":"2026-05-18T04:40:10Z"},{"alias_kind":"pith_short_12","alias_value":"BLN7EK2BBDGF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"BLN7EK2BBDGFAL53","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"BLN7EK2B","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:bc103781bb6d8a45b41a841f38a1cb170f91d84f81d554d804013dfbc2edd126","target":"graph","created_at":"2026-05-18T04:40:10Z","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":"In a unified framework, we obtain two-sided estimates of the following quantities of interest in quantum information theory:\n  1.The minimum-error distinguishability of arbitrary ensembles of mixed quantum states.\n  2.The approximate reversibility of quantum dynamics in terms of entanglement fidelity. (This is also referred to as \"channel-adapted quantum error recovery\" when the reversed channel is the composition of an encoding operation and a noise channel.)\n  3.The maximum overlap between a bipartite pure quantum state and a bipartite mixed state that may be achieved by applying a local qua","authors_text":"Jon Tyson","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-07-20T19:43:59Z","title":"Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on the maximum overlap problem using directional iterates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3386","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":"sha256:4eb4e3a8ca9b7c2dfdbd54110b0e0ea8c264460bad8b7e65362ea308a0a69813","target":"record","created_at":"2026-05-18T04:40:10Z","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":"b488f4c87246076280a229d595c8491c421b4b83eca6ce18b2c13655f8a362a5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-07-20T19:43:59Z","title_canon_sha256":"f92655df3163d0939aba41bc56b98f2b065a1a07bf317f969489f27c867c71ae"},"schema_version":"1.0","source":{"id":"0907.3386","kind":"arxiv","version":4}},"canonical_sha256":"0adbf22b4108cc502fbbff6dfe0464767b0c776f2abca81f0d10ad6066d6bad7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0adbf22b4108cc502fbbff6dfe0464767b0c776f2abca81f0d10ad6066d6bad7","first_computed_at":"2026-05-18T04:40:10.529673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:10.529673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G+Uoa6xq6d14nnDI13bhCcctx0ydsZaY4MX/DWl/ZZXXQEwjZBH0o7gfgCF3Q/fWghZCDa7fx3YOOEsEGfc9Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:10.530266Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.3386","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4eb4e3a8ca9b7c2dfdbd54110b0e0ea8c264460bad8b7e65362ea308a0a69813","sha256:bc103781bb6d8a45b41a841f38a1cb170f91d84f81d554d804013dfbc2edd126"],"state_sha256":"010c6500ea32e3f986bc424f477e3e901c00b1896302b275544d171eac168fbc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n6Of1Kc5WIL9k1y86CQkq9DZ9Au0o8KWGNKxb/VG5QeSbF+gK9JM6jN1pYvumdEY5CSGw7WbG1Vi+XcC6gZnAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T06:29:55.661194Z","bundle_sha256":"d875d84d870f79157b5fa24656f198a73f6b37ff261f5b5d26d9809921831ea9"}}