{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:46YBAEKUEPMQBMZ3GM23MBWJDV","short_pith_number":"pith:46YBAEKU","schema_version":"1.0","canonical_sha256":"e7b010115423d900b33b3335b606c91d4d04f71e8035c5e0cccaae8f29753169","source":{"kind":"arxiv","id":"2310.02075","version":4},"attestation_state":"computed","paper":{"title":"Learning Quantum Processes with Quantum Statistical Queries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CC","cs.LG"],"primary_cat":"quant-ph","authors_text":"Chirag Wadhwa, Mina Doosti","submitted_at":"2023-10-03T14:15:20Z","abstract_excerpt":"In this work, we initiate the study of learning quantum processes from quantum statistical queries. We focus on two fundamental learning tasks in this new access model: shadow tomography of quantum processes and process tomography with respect to diamond distance. For the former, we present an efficient average-case algorithm along with a nearly matching lower bound with respect to the number of observables to be predicted. For the latter, we present average-case query complexity lower bounds for learning classes of unitaries. We obtain an exponential lower bound for learning unitary 2-designs"},"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":"2310.02075","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-03T14:15:20Z","cross_cats_sorted":["cs.CC","cs.LG"],"title_canon_sha256":"5de3265c3c96b3d56a9b5dd3cbdec5efc886ce68ab0afa9af4682da20955a48e","abstract_canon_sha256":"495834e47a47f2083132cc1b6d6cfee28e617d98d634a468fea96828e995b5b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:02:09.351048Z","signature_b64":"SEoBvysByJ0JUnSibc1b8Ur/8EbRp6r0CYB7VYEG+LupMUxe/+0o7AQg5WQtka5+OUhB0OPauOKp1ILQoudrBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7b010115423d900b33b3335b606c91d4d04f71e8035c5e0cccaae8f29753169","last_reissued_at":"2026-07-05T11:02:09.350543Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:02:09.350543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Learning Quantum Processes with Quantum Statistical Queries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CC","cs.LG"],"primary_cat":"quant-ph","authors_text":"Chirag Wadhwa, Mina Doosti","submitted_at":"2023-10-03T14:15:20Z","abstract_excerpt":"In this work, we initiate the study of learning quantum processes from quantum statistical queries. We focus on two fundamental learning tasks in this new access model: shadow tomography of quantum processes and process tomography with respect to diamond distance. For the former, we present an efficient average-case algorithm along with a nearly matching lower bound with respect to the number of observables to be predicted. For the latter, we present average-case query complexity lower bounds for learning classes of unitaries. We obtain an exponential lower bound for learning unitary 2-designs"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.02075","kind":"arxiv","version":4},"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/2310.02075/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":"2310.02075","created_at":"2026-07-05T11:02:09.350604+00:00"},{"alias_kind":"arxiv_version","alias_value":"2310.02075v4","created_at":"2026-07-05T11:02:09.350604+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.02075","created_at":"2026-07-05T11:02:09.350604+00:00"},{"alias_kind":"pith_short_12","alias_value":"46YBAEKUEPMQ","created_at":"2026-07-05T11:02:09.350604+00:00"},{"alias_kind":"pith_short_16","alias_value":"46YBAEKUEPMQBMZ3","created_at":"2026-07-05T11:02:09.350604+00:00"},{"alias_kind":"pith_short_8","alias_value":"46YBAEKU","created_at":"2026-07-05T11:02:09.350604+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.29487","citing_title":"Concentration of Measure Phenomena for Quantum States on a Higher Dimensional Equator","ref_index":32,"is_internal_anchor":false},{"citing_arxiv_id":"2509.07573","citing_title":"On the Complexity of Quantum States and Circuits from the Orthogonal and Symplectic Groups","ref_index":28,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/46YBAEKUEPMQBMZ3GM23MBWJDV","json":"https://pith.science/pith/46YBAEKUEPMQBMZ3GM23MBWJDV.json","graph_json":"https://pith.science/api/pith-number/46YBAEKUEPMQBMZ3GM23MBWJDV/graph.json","events_json":"https://pith.science/api/pith-number/46YBAEKUEPMQBMZ3GM23MBWJDV/events.json","paper":"https://pith.science/paper/46YBAEKU"},"agent_actions":{"view_html":"https://pith.science/pith/46YBAEKUEPMQBMZ3GM23MBWJDV","download_json":"https://pith.science/pith/46YBAEKUEPMQBMZ3GM23MBWJDV.json","view_paper":"https://pith.science/paper/46YBAEKU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2310.02075&json=true","fetch_graph":"https://pith.science/api/pith-number/46YBAEKUEPMQBMZ3GM23MBWJDV/graph.json","fetch_events":"https://pith.science/api/pith-number/46YBAEKUEPMQBMZ3GM23MBWJDV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/46YBAEKUEPMQBMZ3GM23MBWJDV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/46YBAEKUEPMQBMZ3GM23MBWJDV/action/storage_attestation","attest_author":"https://pith.science/pith/46YBAEKUEPMQBMZ3GM23MBWJDV/action/author_attestation","sign_citation":"https://pith.science/pith/46YBAEKUEPMQBMZ3GM23MBWJDV/action/citation_signature","submit_replication":"https://pith.science/pith/46YBAEKUEPMQBMZ3GM23MBWJDV/action/replication_record"}},"created_at":"2026-07-05T11:02:09.350604+00:00","updated_at":"2026-07-05T11:02:09.350604+00:00"}