{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:EODRSLHIFHYSB5VTK5Y6Z3UD5O","short_pith_number":"pith:EODRSLHI","schema_version":"1.0","canonical_sha256":"2387192ce829f120f6b35771ecee83ebb23834c5e90bad970b1b30afc10a4628","source":{"kind":"arxiv","id":"1711.08098","version":2},"attestation_state":"computed","paper":{"title":"Randomized Benchmarking Using Unitary t-Design for Average Fidelity Estimation of Practical Quantum Circuit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Changxing Pei, Chuanghua Zhu, Linxi Zhang","submitted_at":"2017-11-22T01:17:30Z","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 "},"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":"1711.08098","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2017-11-22T01:17:30Z","cross_cats_sorted":[],"title_canon_sha256":"e63d43c0b0ebe13110b6d9f00dd90cbfb8d2f8b838850c040e8b89b8230951cb","abstract_canon_sha256":"b57686730ce4be5d2e723e840c0226967ce9fe6b5324168fe39ff89e5c18f03c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:10.172776Z","signature_b64":"o9Aq4YmZstS5VhiVkjlaIqJ3ltkiXgO9NW4TNTUunVvVQRmXSYFOBaf7XjXtXDkzJGpHP3ss/Kd6ovjrMnuUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2387192ce829f120f6b35771ecee83ebb23834c5e90bad970b1b30afc10a4628","last_reissued_at":"2026-05-18T00:28:10.171940Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:10.171940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Randomized Benchmarking Using Unitary t-Design for Average Fidelity Estimation of Practical Quantum Circuit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Changxing Pei, Chuanghua Zhu, Linxi Zhang","submitted_at":"2017-11-22T01:17:30Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08098","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":""},"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":"1711.08098","created_at":"2026-05-18T00:28:10.172022+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.08098v2","created_at":"2026-05-18T00:28:10.172022+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.08098","created_at":"2026-05-18T00:28:10.172022+00:00"},{"alias_kind":"pith_short_12","alias_value":"EODRSLHIFHYS","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EODRSLHIFHYSB5VT","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EODRSLHI","created_at":"2026-05-18T12:31:12.930513+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/EODRSLHIFHYSB5VTK5Y6Z3UD5O","json":"https://pith.science/pith/EODRSLHIFHYSB5VTK5Y6Z3UD5O.json","graph_json":"https://pith.science/api/pith-number/EODRSLHIFHYSB5VTK5Y6Z3UD5O/graph.json","events_json":"https://pith.science/api/pith-number/EODRSLHIFHYSB5VTK5Y6Z3UD5O/events.json","paper":"https://pith.science/paper/EODRSLHI"},"agent_actions":{"view_html":"https://pith.science/pith/EODRSLHIFHYSB5VTK5Y6Z3UD5O","download_json":"https://pith.science/pith/EODRSLHIFHYSB5VTK5Y6Z3UD5O.json","view_paper":"https://pith.science/paper/EODRSLHI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.08098&json=true","fetch_graph":"https://pith.science/api/pith-number/EODRSLHIFHYSB5VTK5Y6Z3UD5O/graph.json","fetch_events":"https://pith.science/api/pith-number/EODRSLHIFHYSB5VTK5Y6Z3UD5O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EODRSLHIFHYSB5VTK5Y6Z3UD5O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EODRSLHIFHYSB5VTK5Y6Z3UD5O/action/storage_attestation","attest_author":"https://pith.science/pith/EODRSLHIFHYSB5VTK5Y6Z3UD5O/action/author_attestation","sign_citation":"https://pith.science/pith/EODRSLHIFHYSB5VTK5Y6Z3UD5O/action/citation_signature","submit_replication":"https://pith.science/pith/EODRSLHIFHYSB5VTK5Y6Z3UD5O/action/replication_record"}},"created_at":"2026-05-18T00:28:10.172022+00:00","updated_at":"2026-05-18T00:28:10.172022+00:00"}