{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5DKBZBIP6IGGQZGAANXJOZGIY6","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":"870667e0fe412a14db821043731b10ae7224dc72e2ebf333019d1364b36af7d8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-09T00:09:10Z","title_canon_sha256":"2d1cb8bfb1e171ae1c95e2ca04dcfc6facd10b9888534c0f602bd9c77b627238"},"schema_version":"1.0","source":{"id":"1001.1385","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.1385","created_at":"2026-05-18T02:10:03Z"},{"alias_kind":"arxiv_version","alias_value":"1001.1385v1","created_at":"2026-05-18T02:10:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.1385","created_at":"2026-05-18T02:10:03Z"},{"alias_kind":"pith_short_12","alias_value":"5DKBZBIP6IGG","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5DKBZBIP6IGGQZGA","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5DKBZBIP","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:b8eca0d5942c90608aef1333a8150bbd5d872d066b75acfa369f53a73125643f","target":"graph","created_at":"2026-05-18T02:10:03Z","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":"This paper deals with the quantum optimal discrimination among mixed quantum states enjoying geometrical uniform symmetry with respect to a reference density operator $\\rho_0$. It is well-known that the minimal error probability is given by the positive operator-valued measure (POVM) obtained as a solution of a convex optimization problem, namely a set of operators satisfying geometrical symmetry, with respect to a reference operator $\\Pi_0$, and maximizing $\\textrm{Tr}(\\rho_0 \\Pi_0)$. In this paper, by resolving the dual problem, we show that the same result is obtained by minimizing the trac","authors_text":"Antonio Assalini, Gianfranco Cariolaro, Gianfranco Pierobon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-09T00:09:10Z","title":"Efficient Optimal Minimum Error Discrimination of Symmetric Quantum States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.1385","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":"sha256:85eb9818890cae867946998e814939df3edee85d8ac5ad675ad2fb1e4751b30c","target":"record","created_at":"2026-05-18T02:10:03Z","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":"870667e0fe412a14db821043731b10ae7224dc72e2ebf333019d1364b36af7d8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-09T00:09:10Z","title_canon_sha256":"2d1cb8bfb1e171ae1c95e2ca04dcfc6facd10b9888534c0f602bd9c77b627238"},"schema_version":"1.0","source":{"id":"1001.1385","kind":"arxiv","version":1}},"canonical_sha256":"e8d41c850ff20c6864c0036e9764c8c7a818745b27c64a1cb6c1e20dad92c998","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8d41c850ff20c6864c0036e9764c8c7a818745b27c64a1cb6c1e20dad92c998","first_computed_at":"2026-05-18T02:10:03.563906Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:03.563906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ne9RM96PIKZ6/dQH5IKwpjjTTIeCURYO3mtzufbeyjRAtk8iwLiFCKU0NT0HQKpcWMJP7mqHtghkJzcNLTH0AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:03.564495Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.1385","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85eb9818890cae867946998e814939df3edee85d8ac5ad675ad2fb1e4751b30c","sha256:b8eca0d5942c90608aef1333a8150bbd5d872d066b75acfa369f53a73125643f"],"state_sha256":"c613c42ec4e51b84437dd7a5e8287048bafcffc0c4ea819a7fc1f9b5c12adf5c"}