{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:QLFY6CE6B65MR5OOTHCA5HL2ZQ","short_pith_number":"pith:QLFY6CE6","schema_version":"1.0","canonical_sha256":"82cb8f089e0fbac8f5ce99c40e9d7acc010bc71f52bea67d567845287be32024","source":{"kind":"arxiv","id":"2207.05656","version":1},"attestation_state":"computed","paper":{"title":"Phase estimation with limited coherence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. Munoz-Lahoz, E. Bagan, J. A. Bergou, J. Calsamiglia","submitted_at":"2022-07-12T16:36:59Z","abstract_excerpt":"We investigate the ultimate precision limits for quantum phase estimation in terms of the coherence, $C$, of the probe. For pure states, we give the minimum estimation variance attainable, $V(C)$, and the optimal state, in the asymptotic limit when the probe system size, $n$, is large. We prove that pure states are optimal only if $C$ scales as $n$ with a sufficiently large proportionality factor, and that the rank of the optimal state increases with decreasing $C$, eventually becoming full-rank. We show that the variance exhibits a Heisenberg-like scaling, $V(C) \\sim a_n/C^2$, where $a_n$ dec"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2207.05656","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-07-12T16:36:59Z","cross_cats_sorted":[],"title_canon_sha256":"62114c0b992e99c93b3153594d9c17a3478814088c30292a174347db5d1febc4","abstract_canon_sha256":"e4872631391571af45c5c61ae2c0b584454e4eb6b0033b8171525fc2d6318288"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:39:45.080755Z","signature_b64":"yQG8DbHtjtSnRZr4bt9AoW2zcXlaQjmxMLyDCHBO32IWqmLja10Gw65aWj9w2nJehrzTMLtpp8fU0SchihkTCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82cb8f089e0fbac8f5ce99c40e9d7acc010bc71f52bea67d567845287be32024","last_reissued_at":"2026-07-05T04:39:45.080380Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:39:45.080380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase estimation with limited coherence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. Munoz-Lahoz, E. Bagan, J. A. Bergou, J. Calsamiglia","submitted_at":"2022-07-12T16:36:59Z","abstract_excerpt":"We investigate the ultimate precision limits for quantum phase estimation in terms of the coherence, $C$, of the probe. For pure states, we give the minimum estimation variance attainable, $V(C)$, and the optimal state, in the asymptotic limit when the probe system size, $n$, is large. We prove that pure states are optimal only if $C$ scales as $n$ with a sufficiently large proportionality factor, and that the rank of the optimal state increases with decreasing $C$, eventually becoming full-rank. We show that the variance exhibits a Heisenberg-like scaling, $V(C) \\sim a_n/C^2$, where $a_n$ dec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.05656","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2207.05656/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2207.05656","created_at":"2026-07-05T04:39:45.080436+00:00"},{"alias_kind":"arxiv_version","alias_value":"2207.05656v1","created_at":"2026-07-05T04:39:45.080436+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.05656","created_at":"2026-07-05T04:39:45.080436+00:00"},{"alias_kind":"pith_short_12","alias_value":"QLFY6CE6B65M","created_at":"2026-07-05T04:39:45.080436+00:00"},{"alias_kind":"pith_short_16","alias_value":"QLFY6CE6B65MR5OO","created_at":"2026-07-05T04:39:45.080436+00:00"},{"alias_kind":"pith_short_8","alias_value":"QLFY6CE6","created_at":"2026-07-05T04:39:45.080436+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QLFY6CE6B65MR5OOTHCA5HL2ZQ","json":"https://pith.science/pith/QLFY6CE6B65MR5OOTHCA5HL2ZQ.json","graph_json":"https://pith.science/api/pith-number/QLFY6CE6B65MR5OOTHCA5HL2ZQ/graph.json","events_json":"https://pith.science/api/pith-number/QLFY6CE6B65MR5OOTHCA5HL2ZQ/events.json","paper":"https://pith.science/paper/QLFY6CE6"},"agent_actions":{"view_html":"https://pith.science/pith/QLFY6CE6B65MR5OOTHCA5HL2ZQ","download_json":"https://pith.science/pith/QLFY6CE6B65MR5OOTHCA5HL2ZQ.json","view_paper":"https://pith.science/paper/QLFY6CE6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2207.05656&json=true","fetch_graph":"https://pith.science/api/pith-number/QLFY6CE6B65MR5OOTHCA5HL2ZQ/graph.json","fetch_events":"https://pith.science/api/pith-number/QLFY6CE6B65MR5OOTHCA5HL2ZQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QLFY6CE6B65MR5OOTHCA5HL2ZQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QLFY6CE6B65MR5OOTHCA5HL2ZQ/action/storage_attestation","attest_author":"https://pith.science/pith/QLFY6CE6B65MR5OOTHCA5HL2ZQ/action/author_attestation","sign_citation":"https://pith.science/pith/QLFY6CE6B65MR5OOTHCA5HL2ZQ/action/citation_signature","submit_replication":"https://pith.science/pith/QLFY6CE6B65MR5OOTHCA5HL2ZQ/action/replication_record"}},"created_at":"2026-07-05T04:39:45.080436+00:00","updated_at":"2026-07-05T04:39:45.080436+00:00"}