{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:45JO2EO5OMCAVKXMKOU73YE2MR","short_pith_number":"pith:45JO2EO5","schema_version":"1.0","canonical_sha256":"e752ed11dd73040aaaec53a9fde09a64437136aa7eeb540dedd188934bd6290a","source":{"kind":"arxiv","id":"2501.14080","version":1},"attestation_state":"computed","paper":{"title":"A Unified Blockwise Measurement Design for Learning Quantum Channels and Lindbladians via Low-Rank Matrix Sensing","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"quant-ph","authors_text":"Jianfeng Lu, Quanjun Lang","submitted_at":"2025-01-23T20:36:45Z","abstract_excerpt":"Quantum superoperator learning is a pivotal task in quantum information science, enabling accurate reconstruction of unknown quantum operations from measurement data. We propose a robust approach based on the matrix sensing techniques for quantum superoperator learning that extends beyond the positive semidefinite case, encompassing both quantum channels and Lindbladians. We first introduce a randomized measurement design using a near-optimal number of measurements. By leveraging the restricted isometry property (RIP), we provide theoretical guarantees for the identifiability and recovery of l"},"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":"2501.14080","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-23T20:36:45Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"e50da74002a7299bd2c8beaf2223191029f78cfb2f6c11b9e623c11a8229a0d6","abstract_canon_sha256":"13cb66551ec57d76030d99f2ab408c6b271ef9f09547c3eb813a6beb2b7ec9d2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:04:45.008465Z","signature_b64":"gIxHLU/+ZUrCWk9gp6WXzIvNi8jPK7l/eV5Dly0aFI9NbeJ2kmNGZ6i6Ag5uoO9teFkuDSRtqWYYqEAMOHrjBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e752ed11dd73040aaaec53a9fde09a64437136aa7eeb540dedd188934bd6290a","last_reissued_at":"2026-07-05T10:04:45.008102Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:04:45.008102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Unified Blockwise Measurement Design for Learning Quantum Channels and Lindbladians via Low-Rank Matrix Sensing","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"quant-ph","authors_text":"Jianfeng Lu, Quanjun Lang","submitted_at":"2025-01-23T20:36:45Z","abstract_excerpt":"Quantum superoperator learning is a pivotal task in quantum information science, enabling accurate reconstruction of unknown quantum operations from measurement data. We propose a robust approach based on the matrix sensing techniques for quantum superoperator learning that extends beyond the positive semidefinite case, encompassing both quantum channels and Lindbladians. We first introduce a randomized measurement design using a near-optimal number of measurements. By leveraging the restricted isometry property (RIP), we provide theoretical guarantees for the identifiability and recovery of l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.14080","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/2501.14080/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":"2501.14080","created_at":"2026-07-05T10:04:45.008160+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.14080v1","created_at":"2026-07-05T10:04:45.008160+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.14080","created_at":"2026-07-05T10:04:45.008160+00:00"},{"alias_kind":"pith_short_12","alias_value":"45JO2EO5OMCA","created_at":"2026-07-05T10:04:45.008160+00:00"},{"alias_kind":"pith_short_16","alias_value":"45JO2EO5OMCAVKXM","created_at":"2026-07-05T10:04:45.008160+00:00"},{"alias_kind":"pith_short_8","alias_value":"45JO2EO5","created_at":"2026-07-05T10:04:45.008160+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/45JO2EO5OMCAVKXMKOU73YE2MR","json":"https://pith.science/pith/45JO2EO5OMCAVKXMKOU73YE2MR.json","graph_json":"https://pith.science/api/pith-number/45JO2EO5OMCAVKXMKOU73YE2MR/graph.json","events_json":"https://pith.science/api/pith-number/45JO2EO5OMCAVKXMKOU73YE2MR/events.json","paper":"https://pith.science/paper/45JO2EO5"},"agent_actions":{"view_html":"https://pith.science/pith/45JO2EO5OMCAVKXMKOU73YE2MR","download_json":"https://pith.science/pith/45JO2EO5OMCAVKXMKOU73YE2MR.json","view_paper":"https://pith.science/paper/45JO2EO5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.14080&json=true","fetch_graph":"https://pith.science/api/pith-number/45JO2EO5OMCAVKXMKOU73YE2MR/graph.json","fetch_events":"https://pith.science/api/pith-number/45JO2EO5OMCAVKXMKOU73YE2MR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/45JO2EO5OMCAVKXMKOU73YE2MR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/45JO2EO5OMCAVKXMKOU73YE2MR/action/storage_attestation","attest_author":"https://pith.science/pith/45JO2EO5OMCAVKXMKOU73YE2MR/action/author_attestation","sign_citation":"https://pith.science/pith/45JO2EO5OMCAVKXMKOU73YE2MR/action/citation_signature","submit_replication":"https://pith.science/pith/45JO2EO5OMCAVKXMKOU73YE2MR/action/replication_record"}},"created_at":"2026-07-05T10:04:45.008160+00:00","updated_at":"2026-07-05T10:04:45.008160+00:00"}