{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:WSERWYKEFGOWZF4EVWDVT6SKQA","short_pith_number":"pith:WSERWYKE","schema_version":"1.0","canonical_sha256":"b4891b6144299d6c9784ad8759fa4a8004de89423ef7029d967549c5fc0e4603","source":{"kind":"arxiv","id":"2505.00698","version":2},"attestation_state":"computed","paper":{"title":"Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Kaito Wada, Nobuyuki Yoshioka, Wataru Mizukami, Yuki Koizumi","submitted_at":"2025-05-01T17:57:27Z","abstract_excerpt":"In the accompanying paper of arXiv:2505.00697, we have presented a generalized scheme of adaptive quantum gradient estimation (QGE) algorithm, and further proposed two practical variants which not only achieve doubly quantum enhancement in query complexity regarding estimation precision and number of observables, but also enable minimal cost to estimate $k$-RDMs in fermionic systems among existing quantum algorithms. Here, we provide full descriptions on the algorithm, and provide theoretical guarantee for the estimation precision in terms of the root mean squared error. Furthermore, we analyz"},"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":"2505.00698","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-01T17:57:27Z","cross_cats_sorted":[],"title_canon_sha256":"2c03fb232f0ae3e8f239673c67f1875f796e1ce3439019b2cda1282a5ba40f3a","abstract_canon_sha256":"86d906f1a97758dca12ec0d3074cb0e6c1311bf1490e1fbf88bf0ab6c92c77bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T01:14:20.217891Z","signature_b64":"IF75coNoLnAzNli4reYS8hxbYbLWTXOSVFzFMvfpF5O7HBbZZgw5AzfXzfHKqHZHzusZoILZjJysBdPWcBmaDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4891b6144299d6c9784ad8759fa4a8004de89423ef7029d967549c5fc0e4603","last_reissued_at":"2026-06-24T01:14:20.217396Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T01:14:20.217396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Kaito Wada, Nobuyuki Yoshioka, Wataru Mizukami, Yuki Koizumi","submitted_at":"2025-05-01T17:57:27Z","abstract_excerpt":"In the accompanying paper of arXiv:2505.00697, we have presented a generalized scheme of adaptive quantum gradient estimation (QGE) algorithm, and further proposed two practical variants which not only achieve doubly quantum enhancement in query complexity regarding estimation precision and number of observables, but also enable minimal cost to estimate $k$-RDMs in fermionic systems among existing quantum algorithms. Here, we provide full descriptions on the algorithm, and provide theoretical guarantee for the estimation precision in terms of the root mean squared error. Furthermore, we analyz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.00698","kind":"arxiv","version":2},"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/2505.00698/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":"2505.00698","created_at":"2026-06-24T01:14:20.217457+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.00698v2","created_at":"2026-06-24T01:14:20.217457+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.00698","created_at":"2026-06-24T01:14:20.217457+00:00"},{"alias_kind":"pith_short_12","alias_value":"WSERWYKEFGOW","created_at":"2026-06-24T01:14:20.217457+00:00"},{"alias_kind":"pith_short_16","alias_value":"WSERWYKEFGOWZF4E","created_at":"2026-06-24T01:14:20.217457+00:00"},{"alias_kind":"pith_short_8","alias_value":"WSERWYKE","created_at":"2026-06-24T01:14:20.217457+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.06121","citing_title":"Near-Heisenberg-limited parallel amplitude estimation with logarithmic depth circuit","ref_index":65,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WSERWYKEFGOWZF4EVWDVT6SKQA","json":"https://pith.science/pith/WSERWYKEFGOWZF4EVWDVT6SKQA.json","graph_json":"https://pith.science/api/pith-number/WSERWYKEFGOWZF4EVWDVT6SKQA/graph.json","events_json":"https://pith.science/api/pith-number/WSERWYKEFGOWZF4EVWDVT6SKQA/events.json","paper":"https://pith.science/paper/WSERWYKE"},"agent_actions":{"view_html":"https://pith.science/pith/WSERWYKEFGOWZF4EVWDVT6SKQA","download_json":"https://pith.science/pith/WSERWYKEFGOWZF4EVWDVT6SKQA.json","view_paper":"https://pith.science/paper/WSERWYKE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.00698&json=true","fetch_graph":"https://pith.science/api/pith-number/WSERWYKEFGOWZF4EVWDVT6SKQA/graph.json","fetch_events":"https://pith.science/api/pith-number/WSERWYKEFGOWZF4EVWDVT6SKQA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WSERWYKEFGOWZF4EVWDVT6SKQA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WSERWYKEFGOWZF4EVWDVT6SKQA/action/storage_attestation","attest_author":"https://pith.science/pith/WSERWYKEFGOWZF4EVWDVT6SKQA/action/author_attestation","sign_citation":"https://pith.science/pith/WSERWYKEFGOWZF4EVWDVT6SKQA/action/citation_signature","submit_replication":"https://pith.science/pith/WSERWYKEFGOWZF4EVWDVT6SKQA/action/replication_record"}},"created_at":"2026-06-24T01:14:20.217457+00:00","updated_at":"2026-06-24T01:14:20.217457+00:00"}