{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:OZ3NPIUVENC6XYAZE2YBYRUREL","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":"1e33a798cca2d903038693dede2d466daa0dfaa24cb7f705b8c119fdfa969bf3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-04-05T06:05:42Z","title_canon_sha256":"d06525e08d13eb016cb2b03ad3dfe13ebfc31d41d25400571b6ca8f57e400ad0"},"schema_version":"1.0","source":{"id":"2304.02241","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.02241","created_at":"2026-07-05T05:58:23Z"},{"alias_kind":"arxiv_version","alias_value":"2304.02241v1","created_at":"2026-07-05T05:58:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.02241","created_at":"2026-07-05T05:58:23Z"},{"alias_kind":"pith_short_12","alias_value":"OZ3NPIUVENC6","created_at":"2026-07-05T05:58:23Z"},{"alias_kind":"pith_short_16","alias_value":"OZ3NPIUVENC6XYAZ","created_at":"2026-07-05T05:58:23Z"},{"alias_kind":"pith_short_8","alias_value":"OZ3NPIUV","created_at":"2026-07-05T05:58:23Z"}],"graph_snapshots":[{"event_id":"sha256:5badd4b32a1dfc22a753038850804cb5176e3eb31a43bcec8ecaef250004a920","target":"graph","created_at":"2026-07-05T05:58:23Z","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/2304.02241/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we study the phase estimation problem. We show an alternative, simpler and self-contained proof of query lower bounds. Technically, compared to the previous proofs [NW99, Bes05], our proof is considerably elementary. Specifically, our proof consists of basic linear algebra without using the knowledge of Boolean function analysis and adversary methods. Qualitatively, our bound is tight in the low success probability regime and offers a more fine-grained trade-off. In particular, we prove that for any $\\epsilon > 0, p \\geq 0$, every algorithm requires at least $\\Omega(p/{\\epsilon})","authors_text":"Yao-Ting Lin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-04-05T06:05:42Z","title":"A Note on Quantum Phase Estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.02241","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":"sha256:9ee0bd0b5871405100073ef103f094c6403fce20bec4128aef970376950e6f0c","target":"record","created_at":"2026-07-05T05:58:23Z","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":"1e33a798cca2d903038693dede2d466daa0dfaa24cb7f705b8c119fdfa969bf3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-04-05T06:05:42Z","title_canon_sha256":"d06525e08d13eb016cb2b03ad3dfe13ebfc31d41d25400571b6ca8f57e400ad0"},"schema_version":"1.0","source":{"id":"2304.02241","kind":"arxiv","version":1}},"canonical_sha256":"7676d7a2952345ebe01926b01c469122e3b4793664cb2b5524b85b1859764c77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7676d7a2952345ebe01926b01c469122e3b4793664cb2b5524b85b1859764c77","first_computed_at":"2026-07-05T05:58:23.601526Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:58:23.601526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JPF38jYt8V35I/q9Y24iw6mIluXyqukyFiBh1i3vQ/PvgMN3o6f6kcghMROSn0ub6kmZ3TPrAjGydtVMxXW9AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:58:23.601963Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.02241","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ee0bd0b5871405100073ef103f094c6403fce20bec4128aef970376950e6f0c","sha256:5badd4b32a1dfc22a753038850804cb5176e3eb31a43bcec8ecaef250004a920"],"state_sha256":"b957bdb3e6b09f191e1324c7ff71485485e1dcf558a289b853ba4c89bbb89199"}