{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:2OKTTGISZ3FTXOX4T44VNP76UH","short_pith_number":"pith:2OKTTGIS","schema_version":"1.0","canonical_sha256":"d395399912cecb3bbafc9f3956bffea1fb0d41ab2d30aa31ebd701baeb17b66b","source":{"kind":"arxiv","id":"1502.04792","version":3},"attestation_state":"computed","paper":{"title":"Quantum Search with Multiple Walk Steps per Oracle Query","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andris Ambainis, Thomas G. Wong","submitted_at":"2015-02-17T04:09:39Z","abstract_excerpt":"We identify a key difference between quantum search by discrete- and continuous-time quantum walks: a discrete-time walk typically performs one walk step per oracle query, whereas a continuous-time walk can effectively perform multiple walk steps per query while only counting query time. As a result, we show that continuous-time quantum walks can outperform their discrete-time counterparts, even though both achieve quadratic speedups over their corresponding classical random walks. To provide greater equity, we allow the discrete-time quantum walk to also take multiple walk steps per oracle qu"},"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":"1502.04792","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-17T04:09:39Z","cross_cats_sorted":[],"title_canon_sha256":"c60322d43f90590ea0e7b2d999d320a04280f9b1977c349d6653cf37c485a90d","abstract_canon_sha256":"4eaea72afaac4d2b8661fd19d8ba8f17d6c860370fef1688163f13f9d2b974ba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:57.230830Z","signature_b64":"avlPazvP5To0dHC2fH8hVQsNZs/ghDRpNXHcKuEl4py1SIDPwLqKgP0EBfoOUUIYQ+UB51mjvtyzKHu4xvyYAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d395399912cecb3bbafc9f3956bffea1fb0d41ab2d30aa31ebd701baeb17b66b","last_reissued_at":"2026-05-18T01:34:57.230264Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:57.230264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Search with Multiple Walk Steps per Oracle Query","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andris Ambainis, Thomas G. Wong","submitted_at":"2015-02-17T04:09:39Z","abstract_excerpt":"We identify a key difference between quantum search by discrete- and continuous-time quantum walks: a discrete-time walk typically performs one walk step per oracle query, whereas a continuous-time walk can effectively perform multiple walk steps per query while only counting query time. As a result, we show that continuous-time quantum walks can outperform their discrete-time counterparts, even though both achieve quadratic speedups over their corresponding classical random walks. To provide greater equity, we allow the discrete-time quantum walk to also take multiple walk steps per oracle qu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.04792","kind":"arxiv","version":3},"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":"1502.04792","created_at":"2026-05-18T01:34:57.230364+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.04792v3","created_at":"2026-05-18T01:34:57.230364+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.04792","created_at":"2026-05-18T01:34:57.230364+00:00"},{"alias_kind":"pith_short_12","alias_value":"2OKTTGISZ3FT","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"2OKTTGISZ3FTXOX4","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"2OKTTGIS","created_at":"2026-05-18T12:29:02.477457+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/2OKTTGISZ3FTXOX4T44VNP76UH","json":"https://pith.science/pith/2OKTTGISZ3FTXOX4T44VNP76UH.json","graph_json":"https://pith.science/api/pith-number/2OKTTGISZ3FTXOX4T44VNP76UH/graph.json","events_json":"https://pith.science/api/pith-number/2OKTTGISZ3FTXOX4T44VNP76UH/events.json","paper":"https://pith.science/paper/2OKTTGIS"},"agent_actions":{"view_html":"https://pith.science/pith/2OKTTGISZ3FTXOX4T44VNP76UH","download_json":"https://pith.science/pith/2OKTTGISZ3FTXOX4T44VNP76UH.json","view_paper":"https://pith.science/paper/2OKTTGIS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.04792&json=true","fetch_graph":"https://pith.science/api/pith-number/2OKTTGISZ3FTXOX4T44VNP76UH/graph.json","fetch_events":"https://pith.science/api/pith-number/2OKTTGISZ3FTXOX4T44VNP76UH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2OKTTGISZ3FTXOX4T44VNP76UH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2OKTTGISZ3FTXOX4T44VNP76UH/action/storage_attestation","attest_author":"https://pith.science/pith/2OKTTGISZ3FTXOX4T44VNP76UH/action/author_attestation","sign_citation":"https://pith.science/pith/2OKTTGISZ3FTXOX4T44VNP76UH/action/citation_signature","submit_replication":"https://pith.science/pith/2OKTTGISZ3FTXOX4T44VNP76UH/action/replication_record"}},"created_at":"2026-05-18T01:34:57.230364+00:00","updated_at":"2026-05-18T01:34:57.230364+00:00"}