{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:WQRMJUBNDYXKXKUM6HGAR2SB34","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":"a0f16bcd3fd1849ecb9eed1230c8169a6349e986a75679f8b1ca58ba6d2a2d73","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2001-02-12T13:39:43Z","title_canon_sha256":"799c652305719fb998d9c1ff641d84b2614b1338f9b5066b7a8b823480a68f4a"},"schema_version":"1.0","source":{"id":"quant-ph/0102064","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0102064","created_at":"2026-07-04T16:28:54Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0102064v2","created_at":"2026-07-04T16:28:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0102064","created_at":"2026-07-04T16:28:54Z"},{"alias_kind":"pith_short_12","alias_value":"WQRMJUBNDYXK","created_at":"2026-07-04T16:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WQRMJUBNDYXKXKUM","created_at":"2026-07-04T16:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WQRMJUBN","created_at":"2026-07-04T16:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:de273d76d974c2be4dd084da61613fd9ec1766ff9bc09d429e73c73dd70a1492","target":"graph","created_at":"2026-07-04T16:28:54Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/0102064/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The problem of distinguishing two unitary transformations, or quantum gates, is analyzed and a function reflecting their statistical distinguishability is found. Given two unitary operations, $U_1$ and $U_2$, it is proved that there always exists a finite number $N$ such that $U_1^{\\otimes N}$ and $U_2^{\\otimes N}$ are perfectly distinguishable, although they were not in the single-copy case. This result can be extended to any finite set of unitary transformations. Finally, a fidelity for one-qubit gates, which satisfies many useful properties from the point of view of quantum information theo","authors_text":"A. Acin","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2001-02-12T13:39:43Z","title":"Statistical distinguishability between unitary operations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0102064","kind":"arxiv","version":2},"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:d15fb55fbdb71f8bde92ad5ae5ceeaf5b82548b1dce9456346d127c457522ce4","target":"record","created_at":"2026-07-04T16:28:54Z","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":"a0f16bcd3fd1849ecb9eed1230c8169a6349e986a75679f8b1ca58ba6d2a2d73","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2001-02-12T13:39:43Z","title_canon_sha256":"799c652305719fb998d9c1ff641d84b2614b1338f9b5066b7a8b823480a68f4a"},"schema_version":"1.0","source":{"id":"quant-ph/0102064","kind":"arxiv","version":2}},"canonical_sha256":"b422c4d02d1e2eabaa8cf1cc08ea41df39d70f1efafc7bf5be97cd3950ce7e33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b422c4d02d1e2eabaa8cf1cc08ea41df39d70f1efafc7bf5be97cd3950ce7e33","first_computed_at":"2026-07-04T16:28:54.636419Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:28:54.636419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cLyNQK5sWkfAIO21jKZbVWhiTzoKp9y0cNv+XpQKQ72rJXFva5T+mwNbyvoyWrS92fGaYwtbYxafHlbizCZWCA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:28:54.636941Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0102064","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d15fb55fbdb71f8bde92ad5ae5ceeaf5b82548b1dce9456346d127c457522ce4","sha256:de273d76d974c2be4dd084da61613fd9ec1766ff9bc09d429e73c73dd70a1492"],"state_sha256":"e5cd0912988a5f71fe7f11c389c524d1fd5b557f612ea07aa1e17c2b17409756"}