{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:UHF4KAG6MFMJHIZU6HD66MSCC6","short_pith_number":"pith:UHF4KAG6","schema_version":"1.0","canonical_sha256":"a1cbc500de615893a334f1c7ef324217a86f72c122e652ec51ef61e7ba61e62b","source":{"kind":"arxiv","id":"1908.05251","version":2},"attestation_state":"computed","paper":{"title":"Quantum algorithm for estimating Renyi entropies of quantum states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Min-Hsiu Hsieh, Sathyawageeswar Subramanian","submitted_at":"2019-08-14T17:29:10Z","abstract_excerpt":"We describe a quantum algorithm to estimate the $\\alpha$-Renyi entropy of an unknown density matrix $\\rho\\in\\mathcal{C}^{d\\times d}$ for $\\alpha\\neq 1$ by combining the recent technique of quantum singular value transformations with the method of estimating normalised traces in the one clean qubit model. We consider an oracular input model where the input state is prepared via a quantum oracle that outputs a purified version of the state, assumed to be non-singular. Our method outputs an estimate of the $\\alpha$-Renyi entropy to additive precision $\\epsilon$, using an expected total number $O\\"},"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":"1908.05251","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-14T17:29:10Z","cross_cats_sorted":[],"title_canon_sha256":"c3da52e96042d89cb13442a2a3609d98010a881067a3f8841c68921f2a20ed86","abstract_canon_sha256":"b6e9d4722473dde961d2cd34e3779ba0a2b2d805cf74d761a9c6feff553e410c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:10:24.393460Z","signature_b64":"2Ef0e9byADgCOjTrsqFsXp/feuLkofILS815+hkNh25HHYVdIqDXcmJfZbgdW5RPAde0mYeA0WwqiLS962xmCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1cbc500de615893a334f1c7ef324217a86f72c122e652ec51ef61e7ba61e62b","last_reissued_at":"2026-07-05T03:10:24.392968Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:10:24.392968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum algorithm for estimating Renyi entropies of quantum states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Min-Hsiu Hsieh, Sathyawageeswar Subramanian","submitted_at":"2019-08-14T17:29:10Z","abstract_excerpt":"We describe a quantum algorithm to estimate the $\\alpha$-Renyi entropy of an unknown density matrix $\\rho\\in\\mathcal{C}^{d\\times d}$ for $\\alpha\\neq 1$ by combining the recent technique of quantum singular value transformations with the method of estimating normalised traces in the one clean qubit model. We consider an oracular input model where the input state is prepared via a quantum oracle that outputs a purified version of the state, assumed to be non-singular. Our method outputs an estimate of the $\\alpha$-Renyi entropy to additive precision $\\epsilon$, using an expected total number $O\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.05251","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/1908.05251/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":"1908.05251","created_at":"2026-07-05T03:10:24.393020+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.05251v2","created_at":"2026-07-05T03:10:24.393020+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.05251","created_at":"2026-07-05T03:10:24.393020+00:00"},{"alias_kind":"pith_short_12","alias_value":"UHF4KAG6MFMJ","created_at":"2026-07-05T03:10:24.393020+00:00"},{"alias_kind":"pith_short_16","alias_value":"UHF4KAG6MFMJHIZU","created_at":"2026-07-05T03:10:24.393020+00:00"},{"alias_kind":"pith_short_8","alias_value":"UHF4KAG6","created_at":"2026-07-05T03:10:24.393020+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/UHF4KAG6MFMJHIZU6HD66MSCC6","json":"https://pith.science/pith/UHF4KAG6MFMJHIZU6HD66MSCC6.json","graph_json":"https://pith.science/api/pith-number/UHF4KAG6MFMJHIZU6HD66MSCC6/graph.json","events_json":"https://pith.science/api/pith-number/UHF4KAG6MFMJHIZU6HD66MSCC6/events.json","paper":"https://pith.science/paper/UHF4KAG6"},"agent_actions":{"view_html":"https://pith.science/pith/UHF4KAG6MFMJHIZU6HD66MSCC6","download_json":"https://pith.science/pith/UHF4KAG6MFMJHIZU6HD66MSCC6.json","view_paper":"https://pith.science/paper/UHF4KAG6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.05251&json=true","fetch_graph":"https://pith.science/api/pith-number/UHF4KAG6MFMJHIZU6HD66MSCC6/graph.json","fetch_events":"https://pith.science/api/pith-number/UHF4KAG6MFMJHIZU6HD66MSCC6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UHF4KAG6MFMJHIZU6HD66MSCC6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UHF4KAG6MFMJHIZU6HD66MSCC6/action/storage_attestation","attest_author":"https://pith.science/pith/UHF4KAG6MFMJHIZU6HD66MSCC6/action/author_attestation","sign_citation":"https://pith.science/pith/UHF4KAG6MFMJHIZU6HD66MSCC6/action/citation_signature","submit_replication":"https://pith.science/pith/UHF4KAG6MFMJHIZU6HD66MSCC6/action/replication_record"}},"created_at":"2026-07-05T03:10:24.393020+00:00","updated_at":"2026-07-05T03:10:24.393020+00:00"}