{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:5DKBZBIP6IGGQZGAANXJOZGIY6","short_pith_number":"pith:5DKBZBIP","schema_version":"1.0","canonical_sha256":"e8d41c850ff20c6864c0036e9764c8c7a818745b27c64a1cb6c1e20dad92c998","source":{"kind":"arxiv","id":"1001.1385","version":1},"attestation_state":"computed","paper":{"title":"Efficient Optimal Minimum Error Discrimination of Symmetric Quantum States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Antonio Assalini, Gianfranco Cariolaro, Gianfranco Pierobon","submitted_at":"2010-01-09T00:09:10Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1001.1385","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-09T00:09:10Z","cross_cats_sorted":[],"title_canon_sha256":"2d1cb8bfb1e171ae1c95e2ca04dcfc6facd10b9888534c0f602bd9c77b627238","abstract_canon_sha256":"870667e0fe412a14db821043731b10ae7224dc72e2ebf333019d1364b36af7d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:03.564495Z","signature_b64":"ne9RM96PIKZ6/dQH5IKwpjjTTIeCURYO3mtzufbeyjRAtk8iwLiFCKU0NT0HQKpcWMJP7mqHtghkJzcNLTH0AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8d41c850ff20c6864c0036e9764c8c7a818745b27c64a1cb6c1e20dad92c998","last_reissued_at":"2026-05-18T02:10:03.563906Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:03.563906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient Optimal Minimum Error Discrimination of Symmetric Quantum States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Antonio Assalini, Gianfranco Cariolaro, Gianfranco Pierobon","submitted_at":"2010-01-09T00:09:10Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.1385","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1001.1385","created_at":"2026-05-18T02:10:03.564036+00:00"},{"alias_kind":"arxiv_version","alias_value":"1001.1385v1","created_at":"2026-05-18T02:10:03.564036+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.1385","created_at":"2026-05-18T02:10:03.564036+00:00"},{"alias_kind":"pith_short_12","alias_value":"5DKBZBIP6IGG","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"5DKBZBIP6IGGQZGA","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"5DKBZBIP","created_at":"2026-05-18T12:26:04.259169+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5DKBZBIP6IGGQZGAANXJOZGIY6","json":"https://pith.science/pith/5DKBZBIP6IGGQZGAANXJOZGIY6.json","graph_json":"https://pith.science/api/pith-number/5DKBZBIP6IGGQZGAANXJOZGIY6/graph.json","events_json":"https://pith.science/api/pith-number/5DKBZBIP6IGGQZGAANXJOZGIY6/events.json","paper":"https://pith.science/paper/5DKBZBIP"},"agent_actions":{"view_html":"https://pith.science/pith/5DKBZBIP6IGGQZGAANXJOZGIY6","download_json":"https://pith.science/pith/5DKBZBIP6IGGQZGAANXJOZGIY6.json","view_paper":"https://pith.science/paper/5DKBZBIP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1001.1385&json=true","fetch_graph":"https://pith.science/api/pith-number/5DKBZBIP6IGGQZGAANXJOZGIY6/graph.json","fetch_events":"https://pith.science/api/pith-number/5DKBZBIP6IGGQZGAANXJOZGIY6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5DKBZBIP6IGGQZGAANXJOZGIY6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5DKBZBIP6IGGQZGAANXJOZGIY6/action/storage_attestation","attest_author":"https://pith.science/pith/5DKBZBIP6IGGQZGAANXJOZGIY6/action/author_attestation","sign_citation":"https://pith.science/pith/5DKBZBIP6IGGQZGAANXJOZGIY6/action/citation_signature","submit_replication":"https://pith.science/pith/5DKBZBIP6IGGQZGAANXJOZGIY6/action/replication_record"}},"created_at":"2026-05-18T02:10:03.564036+00:00","updated_at":"2026-05-18T02:10:03.564036+00:00"}