{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GWD442YUB322XBWVKF4NY53RLY","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":"92f08ce86d1d797eddcc2ba7a456c48e88d51314abc1f7e9c03e40e438fc50d3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-01T18:00:02Z","title_canon_sha256":"6815472560ab0984e64042ee01bd262eed2cbe143aba4f8ec5ffce46d174d3a1"},"schema_version":"1.0","source":{"id":"2505.00764","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.00764","created_at":"2026-07-05T10:57:38Z"},{"alias_kind":"arxiv_version","alias_value":"2505.00764v1","created_at":"2026-07-05T10:57:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.00764","created_at":"2026-07-05T10:57:38Z"},{"alias_kind":"pith_short_12","alias_value":"GWD442YUB322","created_at":"2026-07-05T10:57:38Z"},{"alias_kind":"pith_short_16","alias_value":"GWD442YUB322XBWV","created_at":"2026-07-05T10:57:38Z"},{"alias_kind":"pith_short_8","alias_value":"GWD442YU","created_at":"2026-07-05T10:57:38Z"}],"graph_snapshots":[{"event_id":"sha256:a52cb14c1e3c9746e07e59d952f1068a8d8819cb194ec50ca080a99d2aefa5fb","target":"graph","created_at":"2026-07-05T10:57:38Z","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/2505.00764/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The quantum-phase-estimation algorithm (QPEA) is widely used to find estimates of unknown phases. The original algorithm relied on an input state in a uniform superposition of all possible bit strings. However, it is known that other input states can reduce certain Bayesian risks of the final estimate. Here, we derive a method to find the risk-minimizing input state for any risk. These states are represented by an eigenvector of a Toeplitz matrix with elements given by the Fourier coefficients of the loss function of interest. We show that, while the true optimal state does not have a closed f","authors_text":"Crispin H. W. Barnes, David R. M. Arvidsson-Shukur, Joseph G. Smith","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-01T18:00:02Z","title":"Risk-minimizing states for the quantum-phase-estimation algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.00764","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:aef374bbc93d34098423acb6d3ee81344f87b4c276d0ea7d13306953e58b1b07","target":"record","created_at":"2026-07-05T10:57:38Z","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":"92f08ce86d1d797eddcc2ba7a456c48e88d51314abc1f7e9c03e40e438fc50d3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-01T18:00:02Z","title_canon_sha256":"6815472560ab0984e64042ee01bd262eed2cbe143aba4f8ec5ffce46d174d3a1"},"schema_version":"1.0","source":{"id":"2505.00764","kind":"arxiv","version":1}},"canonical_sha256":"3587ce6b140ef5ab86d55178dc77715e30859ec0e2a0fd77b73994497045b894","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3587ce6b140ef5ab86d55178dc77715e30859ec0e2a0fd77b73994497045b894","first_computed_at":"2026-07-05T10:57:38.744189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:57:38.744189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+SznJU0mfWMecM2gfBSqZaf6jxowwbQrdUKdVoS3dG433gHY8AyuG+dCZbMugfnJfUiB1PrD+k6OekZiZgnsBg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:57:38.744840Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.00764","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aef374bbc93d34098423acb6d3ee81344f87b4c276d0ea7d13306953e58b1b07","sha256:a52cb14c1e3c9746e07e59d952f1068a8d8819cb194ec50ca080a99d2aefa5fb"],"state_sha256":"c25e5a0bf77ab95c6c91dbfe7d412c919e7fe5bf1e0fa756681461dc2e8fe20d"}