{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:XJYFZINLGEVYWR464SOVKIPBTU","short_pith_number":"pith:XJYFZINL","schema_version":"1.0","canonical_sha256":"ba705ca1ab312b8b479ee49d5521e19d2c3c556e51bc8f047b7fa3a3eba1c514","source":{"kind":"arxiv","id":"quant-ph/0512217","version":2},"attestation_state":"computed","paper":{"title":"Efficient Simulation of Random Quantum States and Operators","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Christoph Dankert","submitted_at":"2005-12-23T14:12:13Z","abstract_excerpt":"We investigate the generation of quantum states and unitary operations that are ``random'' in certain respects. We show how to use such states to estimate the average fidelity, an important measure in the study of implementations of quantum algorithms. We re-discover the result that the states of a maximal set of mutually-unbiased bases serve this purpose. An efficient circuit is presented that generates an arbitrary state out of such a set.\n  Later on, we consider unitary operations that can be used to turn any quantum channel into a depolarizing channel. It was known before that the Clifford"},"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/0512217","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-12-23T14:12:13Z","cross_cats_sorted":[],"title_canon_sha256":"94d0cb09c7216ef1c6cd7038f524e559358a91bfa9c8bff2f27bf6a1c64544cc","abstract_canon_sha256":"5e1ca4618a3c4b46d934810c1170c73d3fad832d172f3d4f08eba8236498ad72"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:52:25.202475Z","signature_b64":"pSrfPNbOazt80xa8eYnuT7Xc2aIBFFFVIKisv7+6zU7glHsqEnT9q3Qoy89o63LFRZW8DL20a6f8oujhhG+JCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba705ca1ab312b8b479ee49d5521e19d2c3c556e51bc8f047b7fa3a3eba1c514","last_reissued_at":"2026-07-04T14:52:25.202109Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:52:25.202109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient Simulation of Random Quantum States and Operators","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Christoph Dankert","submitted_at":"2005-12-23T14:12:13Z","abstract_excerpt":"We investigate the generation of quantum states and unitary operations that are ``random'' in certain respects. We show how to use such states to estimate the average fidelity, an important measure in the study of implementations of quantum algorithms. We re-discover the result that the states of a maximal set of mutually-unbiased bases serve this purpose. An efficient circuit is presented that generates an arbitrary state out of such a set.\n  Later on, we consider unitary operations that can be used to turn any quantum channel into a depolarizing channel. It was known before that the Clifford"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0512217","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/0512217/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/0512217","created_at":"2026-07-04T14:52:25.202168+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0512217v2","created_at":"2026-07-04T14:52:25.202168+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0512217","created_at":"2026-07-04T14:52:25.202168+00:00"},{"alias_kind":"pith_short_12","alias_value":"XJYFZINLGEVY","created_at":"2026-07-04T14:52:25.202168+00:00"},{"alias_kind":"pith_short_16","alias_value":"XJYFZINLGEVYWR46","created_at":"2026-07-04T14:52:25.202168+00:00"},{"alias_kind":"pith_short_8","alias_value":"XJYFZINL","created_at":"2026-07-04T14:52:25.202168+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2411.12050","citing_title":"Long-time Freeness in the Kicked Top","ref_index":2,"is_internal_anchor":true},{"citing_arxiv_id":"2504.01936","citing_title":"Fermionic Averaged Circuit Eigenvalue Sampling","ref_index":20,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XJYFZINLGEVYWR464SOVKIPBTU","json":"https://pith.science/pith/XJYFZINLGEVYWR464SOVKIPBTU.json","graph_json":"https://pith.science/api/pith-number/XJYFZINLGEVYWR464SOVKIPBTU/graph.json","events_json":"https://pith.science/api/pith-number/XJYFZINLGEVYWR464SOVKIPBTU/events.json","paper":"https://pith.science/paper/XJYFZINL"},"agent_actions":{"view_html":"https://pith.science/pith/XJYFZINLGEVYWR464SOVKIPBTU","download_json":"https://pith.science/pith/XJYFZINLGEVYWR464SOVKIPBTU.json","view_paper":"https://pith.science/paper/XJYFZINL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0512217&json=true","fetch_graph":"https://pith.science/api/pith-number/XJYFZINLGEVYWR464SOVKIPBTU/graph.json","fetch_events":"https://pith.science/api/pith-number/XJYFZINLGEVYWR464SOVKIPBTU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XJYFZINLGEVYWR464SOVKIPBTU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XJYFZINLGEVYWR464SOVKIPBTU/action/storage_attestation","attest_author":"https://pith.science/pith/XJYFZINLGEVYWR464SOVKIPBTU/action/author_attestation","sign_citation":"https://pith.science/pith/XJYFZINLGEVYWR464SOVKIPBTU/action/citation_signature","submit_replication":"https://pith.science/pith/XJYFZINLGEVYWR464SOVKIPBTU/action/replication_record"}},"created_at":"2026-07-04T14:52:25.202168+00:00","updated_at":"2026-07-04T14:52:25.202168+00:00"}