{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BIYCQKBTKFXOLID2F5IXX6IQLC","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":"0bdad9c8f89c779604e087cc084cfa882c621bdd48950c84b5d618ed39caa41f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-16T19:57:53Z","title_canon_sha256":"437fcffb65fdaac0f3f65c8fa4b78a46f1ffd41779ea680437219de24a6f744b"},"schema_version":"1.0","source":{"id":"1507.04737","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.04737","created_at":"2026-05-18T01:23:39Z"},{"alias_kind":"arxiv_version","alias_value":"1507.04737v1","created_at":"2026-05-18T01:23:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04737","created_at":"2026-05-18T01:23:39Z"},{"alias_kind":"pith_short_12","alias_value":"BIYCQKBTKFXO","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BIYCQKBTKFXOLID2","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BIYCQKBT","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:1ad928e35cc9604fda70e5c80b8b536c1a899e84a75e2f557698178887873057","target":"graph","created_at":"2026-05-18T01:23:39Z","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 minimum probability of error (MPE) measurement discriminates between a set of candidate quantum states with the minimum average error probability allowed by quantum mechanics. Conditions for a measurement to be MPE were derived by Yuen, Kennedy and Lax (YKL). MPE measurements have been found for states that form a single orbit under a group action, i.e., there is a transitive group action on the states in the set. For such state sets, termed geometrically uniform (GU) by Forney, it was shown that the `pretty good measurement' (PGM) attains the MPE. Even so, evaluating the actual probabilit","authors_text":"Hari Krovi, Marcus P. da Silva, Saikat Guha, Zachary Dutton","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-16T19:57:53Z","title":"Optimal Measurements for Symmetric Quantum States with Applications to Optical Communication"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04737","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":"sha256:5b460749c5c4df6f6d765355eb8408786f88c3329d9edd4c27788192996511d5","target":"record","created_at":"2026-05-18T01:23:39Z","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":"0bdad9c8f89c779604e087cc084cfa882c621bdd48950c84b5d618ed39caa41f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-16T19:57:53Z","title_canon_sha256":"437fcffb65fdaac0f3f65c8fa4b78a46f1ffd41779ea680437219de24a6f744b"},"schema_version":"1.0","source":{"id":"1507.04737","kind":"arxiv","version":1}},"canonical_sha256":"0a30282833516ee5a07a2f517bf9105881da4548d509af58129111a2ed29bdb5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a30282833516ee5a07a2f517bf9105881da4548d509af58129111a2ed29bdb5","first_computed_at":"2026-05-18T01:23:39.905211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:39.905211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PRkdxDbFvI9RFTVtpftaGEdhafCV5BS3l9rPSX4nQShK5eXFn/bwISa4ZAMhOmIA7N7t692sTaYVJd9mgmQ8Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:39.905849Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.04737","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b460749c5c4df6f6d765355eb8408786f88c3329d9edd4c27788192996511d5","sha256:1ad928e35cc9604fda70e5c80b8b536c1a899e84a75e2f557698178887873057"],"state_sha256":"65fa05378dc85aef654e2b1c4263d78b2991c2de11bf126485e95576a2e9fd39"}