{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:QZYL4E4JDSO2G4B6TK7XHRTJUH","short_pith_number":"pith:QZYL4E4J","schema_version":"1.0","canonical_sha256":"8670be13891c9da3703e9abf73c669a1f61c4696873992231c110c263292df64","source":{"kind":"arxiv","id":"quant-ph/0205035","version":2},"attestation_state":"computed","paper":{"title":"A simple formula for the average gate fidelity of a quantum dynamical operation","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Michael A. Nielsen","submitted_at":"2002-05-07T22:45:27Z","abstract_excerpt":"This note presents a simple formula for the average fidelity between a unitary quantum gate and a general quantum operation on a qudit, generalizing the formula for qubits found by Bowdrey et al [Phys. Lett. A 294, 258 (2002)]. This formula may be useful for experimental determination of average gate fidelity. We also give a simplified proof of a formula due to Horodecki et al [Phys. Rev. A 60, 1888 (1999)], connecting average gate fidelity to entanglement fidelity."},"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":"quant-ph/0205035","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-05-07T22:45:27Z","cross_cats_sorted":[],"title_canon_sha256":"c01f3c9d2226b85b2cf958b0d9f0531b53794f54d3de9f904838fc00e8713315","abstract_canon_sha256":"1f41589c7bf44b49f673d403b99069739ab21c2d2a259f81c737eaaf8d9557c5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:36:03.904867Z","signature_b64":"Njd0W91foMxXX7gu6NDc/un027iKMYb5Wn5M6t6EYhVEIbFfKwGI6oOup9AuLXdEv7r6aN6Qb4+ZlkXF5Y/xAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8670be13891c9da3703e9abf73c669a1f61c4696873992231c110c263292df64","last_reissued_at":"2026-07-04T16:36:03.904514Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:36:03.904514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A simple formula for the average gate fidelity of a quantum dynamical operation","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Michael A. Nielsen","submitted_at":"2002-05-07T22:45:27Z","abstract_excerpt":"This note presents a simple formula for the average fidelity between a unitary quantum gate and a general quantum operation on a qudit, generalizing the formula for qubits found by Bowdrey et al [Phys. Lett. A 294, 258 (2002)]. This formula may be useful for experimental determination of average gate fidelity. We also give a simplified proof of a formula due to Horodecki et al [Phys. Rev. A 60, 1888 (1999)], connecting average gate fidelity to entanglement fidelity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0205035","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0205035/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"quant-ph/0205035","created_at":"2026-07-04T16:36:03.904579+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0205035v2","created_at":"2026-07-04T16:36:03.904579+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0205035","created_at":"2026-07-04T16:36:03.904579+00:00"},{"alias_kind":"pith_short_12","alias_value":"QZYL4E4JDSO2","created_at":"2026-07-04T16:36:03.904579+00:00"},{"alias_kind":"pith_short_16","alias_value":"QZYL4E4JDSO2G4B6","created_at":"2026-07-04T16:36:03.904579+00:00"},{"alias_kind":"pith_short_8","alias_value":"QZYL4E4J","created_at":"2026-07-04T16:36:03.904579+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2606.08874","citing_title":"Impact of gate-voltage noise on silicon spin-qubit variational quantum eigensolvers","ref_index":62,"is_internal_anchor":true},{"citing_arxiv_id":"2603.12054","citing_title":"Noise Correlations as a Resource in Pauli-Twirled Circuits","ref_index":10,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QZYL4E4JDSO2G4B6TK7XHRTJUH","json":"https://pith.science/pith/QZYL4E4JDSO2G4B6TK7XHRTJUH.json","graph_json":"https://pith.science/api/pith-number/QZYL4E4JDSO2G4B6TK7XHRTJUH/graph.json","events_json":"https://pith.science/api/pith-number/QZYL4E4JDSO2G4B6TK7XHRTJUH/events.json","paper":"https://pith.science/paper/QZYL4E4J"},"agent_actions":{"view_html":"https://pith.science/pith/QZYL4E4JDSO2G4B6TK7XHRTJUH","download_json":"https://pith.science/pith/QZYL4E4JDSO2G4B6TK7XHRTJUH.json","view_paper":"https://pith.science/paper/QZYL4E4J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0205035&json=true","fetch_graph":"https://pith.science/api/pith-number/QZYL4E4JDSO2G4B6TK7XHRTJUH/graph.json","fetch_events":"https://pith.science/api/pith-number/QZYL4E4JDSO2G4B6TK7XHRTJUH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QZYL4E4JDSO2G4B6TK7XHRTJUH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QZYL4E4JDSO2G4B6TK7XHRTJUH/action/storage_attestation","attest_author":"https://pith.science/pith/QZYL4E4JDSO2G4B6TK7XHRTJUH/action/author_attestation","sign_citation":"https://pith.science/pith/QZYL4E4JDSO2G4B6TK7XHRTJUH/action/citation_signature","submit_replication":"https://pith.science/pith/QZYL4E4JDSO2G4B6TK7XHRTJUH/action/replication_record"}},"created_at":"2026-07-04T16:36:03.904579+00:00","updated_at":"2026-07-04T16:36:03.904579+00:00"}