{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:JY6BOBYDGOW66ATNU5MGOJCXOQ","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":"5ec2a6247d199d140dd5e276a0ad3e099ac8d0aaf23f45fa437e8ba0f72cb3b5","cross_cats_sorted":["cs.CC","cs.DS"],"license":"","primary_cat":"quant-ph","submitted_at":"1999-02-14T01:20:11Z","title_canon_sha256":"7a783f917c1fae97093af356ae9bc6fde35ccd4dfe88297188aee9b120173df7"},"schema_version":"1.0","source":{"id":"quant-ph/9902053","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9902053","created_at":"2026-07-04T14:47:24Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9902053v1","created_at":"2026-07-04T14:47:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9902053","created_at":"2026-07-04T14:47:24Z"},{"alias_kind":"pith_short_12","alias_value":"JY6BOBYDGOW6","created_at":"2026-07-04T14:47:24Z"},{"alias_kind":"pith_short_16","alias_value":"JY6BOBYDGOW66ATN","created_at":"2026-07-04T14:47:24Z"},{"alias_kind":"pith_short_8","alias_value":"JY6BOBYD","created_at":"2026-07-04T14:47:24Z"}],"graph_snapshots":[{"event_id":"sha256:107e373054e47fe794f000a003c20a6e6cc82737153fb9ead6f813dea8000968","target":"graph","created_at":"2026-07-04T14:47:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/9902053/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that any quantum algorithm searching an ordered list of n elements needs to examine at least 1/12 log n-O(1) of them. Classically, log n queries are both necessary and sufficient. This shows that quantum algorithms can achieve only a constant speedup for this problem. Our result improves lower bounds of Buhrman and de Wolf(quant-ph/9811046) and Farhi, Goldstone, Gutmann and Sipser (quant-ph/9812057).","authors_text":"Andris Ambainis","cross_cats":["cs.CC","cs.DS"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1999-02-14T01:20:11Z","title":"A better lower bound for quantum algorithms searching an ordered list"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9902053","kind":"arxiv","version":1},"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:a22cd381c66c081656b400513a365bf7369740359dc2a5c0929962504447ccc3","target":"record","created_at":"2026-07-04T14:47:24Z","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":"5ec2a6247d199d140dd5e276a0ad3e099ac8d0aaf23f45fa437e8ba0f72cb3b5","cross_cats_sorted":["cs.CC","cs.DS"],"license":"","primary_cat":"quant-ph","submitted_at":"1999-02-14T01:20:11Z","title_canon_sha256":"7a783f917c1fae97093af356ae9bc6fde35ccd4dfe88297188aee9b120173df7"},"schema_version":"1.0","source":{"id":"quant-ph/9902053","kind":"arxiv","version":1}},"canonical_sha256":"4e3c17070333adef026da7586724577417400064505b15c5faeb613b078251c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e3c17070333adef026da7586724577417400064505b15c5faeb613b078251c0","first_computed_at":"2026-07-04T14:47:24.086441Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:47:24.086441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XZugYHFsC4K634QSrYjJTHRsrdOwrEwTYKlSVCYg6Rvj527gHvrLdynd9VYeNUf9BHh0eAyRr/M9zQZSSnKbDA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:47:24.086777Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9902053","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a22cd381c66c081656b400513a365bf7369740359dc2a5c0929962504447ccc3","sha256:107e373054e47fe794f000a003c20a6e6cc82737153fb9ead6f813dea8000968"],"state_sha256":"35dc7e8629bb57e36bed245fadbfce8cb0c7de1803d8640b9a70d0633e0ce0a0"}