{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:QQH3BD4RENR74HXGOCZJJ74PRL","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":"22eaadd98e82b8c5cc44c23587edf5a8cc351be4f4cc2d9658061081f463a00e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-09T15:23:04Z","title_canon_sha256":"f6a2873bfcbb613fa93e23144142217a7f3c2ba3e3ecbf46510e0527f5ce067c"},"schema_version":"1.0","source":{"id":"0904.1549","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.1549","created_at":"2026-07-04T15:48:12Z"},{"alias_kind":"arxiv_version","alias_value":"0904.1549v1","created_at":"2026-07-04T15:48:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.1549","created_at":"2026-07-04T15:48:12Z"},{"alias_kind":"pith_short_12","alias_value":"QQH3BD4RENR7","created_at":"2026-07-04T15:48:12Z"},{"alias_kind":"pith_short_16","alias_value":"QQH3BD4RENR74HXG","created_at":"2026-07-04T15:48:12Z"},{"alias_kind":"pith_short_8","alias_value":"QQH3BD4R","created_at":"2026-07-04T15:48:12Z"}],"graph_snapshots":[{"event_id":"sha256:18542cb66e24588259f1c249e976ad9c5ab821fd591db0fd50944d3c2cbe73df","target":"graph","created_at":"2026-07-04T15:48:12Z","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/0904.1549/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given a verifier circuit for a problem in QMA, we show how to exponentially amplify the gap between its acceptance probabilities in the `yes' and `no' cases, with a method that is quadratically faster than the procedure given by Marriott and Watrous. Our construction is natively quantum, based on the analogy of a product of two reflections and a quantum walk. Second, in some special cases we show how to amplify the acceptance probability for good witnesses to 1, making a step towards the proof that QMA with one-sided error is equal to QMA. Finally, we simplify the filter-state method to search","authors_text":"Daniel Nagaj, Pawel Wocjan, Yong Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-09T15:23:04Z","title":"Fast Amplification of QMA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.1549","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":"sha256:92e41c6836cbbec654f1c2235edab3830bf3d0fa852c8df9f63a118b43c1f065","target":"record","created_at":"2026-07-04T15:48:12Z","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":"22eaadd98e82b8c5cc44c23587edf5a8cc351be4f4cc2d9658061081f463a00e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-09T15:23:04Z","title_canon_sha256":"f6a2873bfcbb613fa93e23144142217a7f3c2ba3e3ecbf46510e0527f5ce067c"},"schema_version":"1.0","source":{"id":"0904.1549","kind":"arxiv","version":1}},"canonical_sha256":"840fb08f912363fe1ee670b294ff8f8ad3fb0be84e7a10098f8d3ff89c966aa4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"840fb08f912363fe1ee670b294ff8f8ad3fb0be84e7a10098f8d3ff89c966aa4","first_computed_at":"2026-07-04T15:48:12.566590Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:48:12.566590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BepBDP2otYmwgQC4sXOt6qLyn9jWHvOLWBmHpU7J0b3A9eRO5HuJ+5DeeRaJ9dbwEG+P4ZkExBKJK0FYZS9xAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:48:12.566929Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.1549","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92e41c6836cbbec654f1c2235edab3830bf3d0fa852c8df9f63a118b43c1f065","sha256:18542cb66e24588259f1c249e976ad9c5ab821fd591db0fd50944d3c2cbe73df"],"state_sha256":"37f17a05845458d07c20984d13cb25a91608ae915d9f4c749a59ca88cfd2c155"}