{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:GCSAUE6KSUVGN5QRX6ROTHJB73","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":"53532ba115d53623ba5f95707e1cedf924fe91d6657274b0b42b4ec12f44922d","cross_cats_sorted":["cs.CC"],"license":"","primary_cat":"quant-ph","submitted_at":"2003-04-07T16:11:22Z","title_canon_sha256":"83fec8e17c425daf622953af2b5bbe6bc61c6f4eb5c70d2045081d1c959d72b7"},"schema_version":"1.0","source":{"id":"quant-ph/0304052","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0304052","created_at":"2026-05-18T00:53:35Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0304052v2","created_at":"2026-05-18T00:53:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0304052","created_at":"2026-05-18T00:53:35Z"},{"alias_kind":"pith_short_12","alias_value":"GCSAUE6KSUVG","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"GCSAUE6KSUVGN5QR","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"GCSAUE6K","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:8a18f8e3ce3b216cb4361c1f9f91356d4e061e9b9f0a5d0b5c38d398865d5929","target":"graph","created_at":"2026-05-18T00:53:35Z","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"},"paper":{"abstract_excerpt":"Suppose we have n algorithms, quantum or classical, each computing some bit-value with bounded error probability. We describe a quantum algorithm that uses O(sqrt{n}) repetitions of the base algorithms and with high probability finds the index of a 1-bit among these n bits (if there is such an index). This shows that it is not necessary to first significantly reduce the error probability in the base algorithms to O(1/poly(n)) (which would require O(sqrt{n}log n) repetitions in total). Our technique is a recursive interleaving of amplitude amplification and error-reduction, and may be of more g","authors_text":"Amsterdam), Michele Mosca (Waterloo, Perimeter Institute), Peter Hoyer (Calgary), Ronald de Wolf (CWI","cross_cats":["cs.CC"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2003-04-07T16:11:22Z","title":"Quantum Search on Bounded-Error Inputs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0304052","kind":"arxiv","version":2},"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:e12095aaa394535e73438d5969903735684f790ce735425dc31133e649fada90","target":"record","created_at":"2026-05-18T00:53:35Z","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":"53532ba115d53623ba5f95707e1cedf924fe91d6657274b0b42b4ec12f44922d","cross_cats_sorted":["cs.CC"],"license":"","primary_cat":"quant-ph","submitted_at":"2003-04-07T16:11:22Z","title_canon_sha256":"83fec8e17c425daf622953af2b5bbe6bc61c6f4eb5c70d2045081d1c959d72b7"},"schema_version":"1.0","source":{"id":"quant-ph/0304052","kind":"arxiv","version":2}},"canonical_sha256":"30a40a13ca952a66f611bfa2e99d21fefabbdda2bca885bd6d48f261a7d30b0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30a40a13ca952a66f611bfa2e99d21fefabbdda2bca885bd6d48f261a7d30b0d","first_computed_at":"2026-05-18T00:53:35.442700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:35.442700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QNAO59X4eacx+39e16Pk0jfbNh8Hmf/qOOzfxrGIeCw0NhyG69cUuePeKfC3Ap0waQx6rncpTJfoN+3p56KKAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:35.443133Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0304052","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e12095aaa394535e73438d5969903735684f790ce735425dc31133e649fada90","sha256:8a18f8e3ce3b216cb4361c1f9f91356d4e061e9b9f0a5d0b5c38d398865d5929"],"state_sha256":"8a1a3e62dc31b6851f0234d03233e98b9b9d940a0672ea5fead2f7370eec2c72"}