{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:K7KYXROTUUDFAEYT3VJ5BFCVXA","short_pith_number":"pith:K7KYXROT","schema_version":"1.0","canonical_sha256":"57d58bc5d3a506501313dd53d09455b810b5955ff9f4e8db37bf2d86f495c3e7","source":{"kind":"arxiv","id":"1406.4361","version":1},"attestation_state":"computed","paper":{"title":"Quantum Oracles in Constant Depth with Measurement-Based Quantum Computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Beno\\^it Valiron","submitted_at":"2014-06-17T13:27:25Z","abstract_excerpt":"This paper shows that, in measurement-based quantum computation, it is possible to write any quantum oracle implementing a classical function in constant depth. The result is shown through the equivalence between MBQC and the circuit model where arbitrary rotations along $Z$ axis and unbounded fan-outs are elementary operations. A corollary of this result is that disjunction can be implemented exactly in constant-depth, answering an open question of H{\\o}yer and \\v{S}palek."},"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":"1406.4361","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-17T13:27:25Z","cross_cats_sorted":[],"title_canon_sha256":"16407d8ae911fdad7107ea5518e76be7211a92274dd47b9f011053d258c8459b","abstract_canon_sha256":"2e88bd7dad3bb813dd929bd5a7e3d16239778ce13e4eed84db8de2872d9aeddb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:37.720425Z","signature_b64":"WlLXGlOBlSx6Lrp+71UzfMmXNvoahCmtbtT/tRtPEEcPfDBkWawN39XiaPUdnM3oYmEsrU+L4a7Bbtu2gQfCDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57d58bc5d3a506501313dd53d09455b810b5955ff9f4e8db37bf2d86f495c3e7","last_reissued_at":"2026-05-18T02:49:37.719975Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:37.719975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Oracles in Constant Depth with Measurement-Based Quantum Computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Beno\\^it Valiron","submitted_at":"2014-06-17T13:27:25Z","abstract_excerpt":"This paper shows that, in measurement-based quantum computation, it is possible to write any quantum oracle implementing a classical function in constant depth. The result is shown through the equivalence between MBQC and the circuit model where arbitrary rotations along $Z$ axis and unbounded fan-outs are elementary operations. A corollary of this result is that disjunction can be implemented exactly in constant-depth, answering an open question of H{\\o}yer and \\v{S}palek."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4361","kind":"arxiv","version":1},"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":"1406.4361","created_at":"2026-05-18T02:49:37.720041+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.4361v1","created_at":"2026-05-18T02:49:37.720041+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4361","created_at":"2026-05-18T02:49:37.720041+00:00"},{"alias_kind":"pith_short_12","alias_value":"K7KYXROTUUDF","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"K7KYXROTUUDFAEYT","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"K7KYXROT","created_at":"2026-05-18T12:28:35.611951+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/K7KYXROTUUDFAEYT3VJ5BFCVXA","json":"https://pith.science/pith/K7KYXROTUUDFAEYT3VJ5BFCVXA.json","graph_json":"https://pith.science/api/pith-number/K7KYXROTUUDFAEYT3VJ5BFCVXA/graph.json","events_json":"https://pith.science/api/pith-number/K7KYXROTUUDFAEYT3VJ5BFCVXA/events.json","paper":"https://pith.science/paper/K7KYXROT"},"agent_actions":{"view_html":"https://pith.science/pith/K7KYXROTUUDFAEYT3VJ5BFCVXA","download_json":"https://pith.science/pith/K7KYXROTUUDFAEYT3VJ5BFCVXA.json","view_paper":"https://pith.science/paper/K7KYXROT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.4361&json=true","fetch_graph":"https://pith.science/api/pith-number/K7KYXROTUUDFAEYT3VJ5BFCVXA/graph.json","fetch_events":"https://pith.science/api/pith-number/K7KYXROTUUDFAEYT3VJ5BFCVXA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K7KYXROTUUDFAEYT3VJ5BFCVXA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K7KYXROTUUDFAEYT3VJ5BFCVXA/action/storage_attestation","attest_author":"https://pith.science/pith/K7KYXROTUUDFAEYT3VJ5BFCVXA/action/author_attestation","sign_citation":"https://pith.science/pith/K7KYXROTUUDFAEYT3VJ5BFCVXA/action/citation_signature","submit_replication":"https://pith.science/pith/K7KYXROTUUDFAEYT3VJ5BFCVXA/action/replication_record"}},"created_at":"2026-05-18T02:49:37.720041+00:00","updated_at":"2026-05-18T02:49:37.720041+00:00"}