{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EODRSLHIFHYSB5VTK5Y6Z3UD5O","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":"b57686730ce4be5d2e723e840c0226967ce9fe6b5324168fe39ff89e5c18f03c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2017-11-22T01:17:30Z","title_canon_sha256":"e63d43c0b0ebe13110b6d9f00dd90cbfb8d2f8b838850c040e8b89b8230951cb"},"schema_version":"1.0","source":{"id":"1711.08098","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.08098","created_at":"2026-05-18T00:28:10Z"},{"alias_kind":"arxiv_version","alias_value":"1711.08098v2","created_at":"2026-05-18T00:28:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.08098","created_at":"2026-05-18T00:28:10Z"},{"alias_kind":"pith_short_12","alias_value":"EODRSLHIFHYS","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EODRSLHIFHYSB5VT","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EODRSLHI","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:ad9618e0e8dc1d91833df05ffa0a28e79d040471f797c25e6af7eec04b0e9414","target":"graph","created_at":"2026-05-18T00:28:10Z","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":"Randomized benchmarking is a useful scheme for evaluation the average fidelity of a noisy quantum circuit. However, it is insensitive to the unitary error. Here, we propose a method of randomized benchmarking in which a unitary t-design is applied and by which the unitary error estimation can be converted to analysis of pseudo-randomness on a set of unitary operators. We give a bound on the number of randomized benchmarking sequences, when performing a unitary t-design on n-qubit d-dimensional system. By applying local random unitary operators, a decomposition of a unitary t-design, the bound ","authors_text":"Changxing Pei, Chuanghua Zhu, Linxi Zhang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2017-11-22T01:17:30Z","title":"Randomized Benchmarking Using Unitary t-Design for Average Fidelity Estimation of Practical Quantum Circuit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08098","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:ca464eb26f8ad971339bd3606109697806553d6db84144143f5e54907ebf8b45","target":"record","created_at":"2026-05-18T00:28:10Z","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":"b57686730ce4be5d2e723e840c0226967ce9fe6b5324168fe39ff89e5c18f03c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2017-11-22T01:17:30Z","title_canon_sha256":"e63d43c0b0ebe13110b6d9f00dd90cbfb8d2f8b838850c040e8b89b8230951cb"},"schema_version":"1.0","source":{"id":"1711.08098","kind":"arxiv","version":2}},"canonical_sha256":"2387192ce829f120f6b35771ecee83ebb23834c5e90bad970b1b30afc10a4628","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2387192ce829f120f6b35771ecee83ebb23834c5e90bad970b1b30afc10a4628","first_computed_at":"2026-05-18T00:28:10.171940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:10.171940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o9Aq4YmZstS5VhiVkjlaIqJ3ltkiXgO9NW4TNTUunVvVQRmXSYFOBaf7XjXtXDkzJGpHP3ss/Kd6ovjrMnuUBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:10.172776Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.08098","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca464eb26f8ad971339bd3606109697806553d6db84144143f5e54907ebf8b45","sha256:ad9618e0e8dc1d91833df05ffa0a28e79d040471f797c25e6af7eec04b0e9414"],"state_sha256":"6a9b5060a5d6303b31b15292ed426f822ba6bce2a7cd63b80ec1dc64cfef68d2"}