{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:M2YLZWBWB35G6PX3FS3ASES3BQ","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":"b68a0f91027f0fa14e21313176673b6815191e2d6dd56b73148b95f5dfd3fab2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-06T02:07:40Z","title_canon_sha256":"fc648ded2e5be433bfc34505a56df69a5d29ec31fe70d32c8702a958ecbccb85"},"schema_version":"1.0","source":{"id":"1110.1133","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1133","created_at":"2026-05-18T03:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1133v3","created_at":"2026-05-18T03:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1133","created_at":"2026-05-18T03:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"M2YLZWBWB35G","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"M2YLZWBWB35G6PX3","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"M2YLZWBW","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:bead51ccf8aceb032a1f95a86b073adca73d29f03cc1b83cbb6c4c55bc2533a7","target":"graph","created_at":"2026-05-18T03:23:46Z","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":"In this paper, we systematically study property testing of unitary operators. We first introduce a distance measure that reflects the average difference between unitary operators. Then we show that, with respect to this distance measure, the orthogonal group, quantum juntas (i.e. unitary operators that only nontrivially act on a few qubits of the system) and Clifford group can be all efficiently tested. In fact, their testing algorithms have query complexities independent of the system's size and have only one-sided error. Then we give an algorithm that tests any finite subset of the unitary g","authors_text":"Guoming Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-06T02:07:40Z","title":"Property testing of unitary operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1133","kind":"arxiv","version":3},"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":"sha256:3c6b5a84e59a7992ba8f54beb03ecc5e8f07a950874b5fbe3ed3fccd0bf1a801","target":"record","created_at":"2026-05-18T03:23:46Z","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":"b68a0f91027f0fa14e21313176673b6815191e2d6dd56b73148b95f5dfd3fab2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-06T02:07:40Z","title_canon_sha256":"fc648ded2e5be433bfc34505a56df69a5d29ec31fe70d32c8702a958ecbccb85"},"schema_version":"1.0","source":{"id":"1110.1133","kind":"arxiv","version":3}},"canonical_sha256":"66b0bcd8360efa6f3efb2cb609125b0c0cfc28766b479471ac3a01b75bbabdfa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66b0bcd8360efa6f3efb2cb609125b0c0cfc28766b479471ac3a01b75bbabdfa","first_computed_at":"2026-05-18T03:23:46.840171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:46.840171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Toqxw+7WPI1PCf+zMq77/tjHYqKEE/sFzn3QzqkuwNUlERt8ULw8yvY0jl/O4445cI5XTMY11OQRad9kNkw5Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:46.841171Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.1133","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c6b5a84e59a7992ba8f54beb03ecc5e8f07a950874b5fbe3ed3fccd0bf1a801","sha256:bead51ccf8aceb032a1f95a86b073adca73d29f03cc1b83cbb6c4c55bc2533a7"],"state_sha256":"af1f35529f2a9bdc6820651bc65dc84abff5e5a99af98fd6b1adfb5d76ca55ae"}