{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:XIKUQMUE4JFC42J3EO2MTD6ROB","short_pith_number":"pith:XIKUQMUE","schema_version":"1.0","canonical_sha256":"ba15483284e24a2e693b23b4c98fd1707ac65c543a26dca52c8ecad9d379f071","source":{"kind":"arxiv","id":"2207.05341","version":4},"attestation_state":"computed","paper":{"title":"Efficient factored gradient descent algorithm for quantum state tomography","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"quant-ph","authors_text":"Jie Chen, Lijun Liu, Li Li, Shuming Cheng, Yong Wang","submitted_at":"2022-07-12T06:45:35Z","abstract_excerpt":"Reconstructing the state of quantum many-body systems is of fundamental importance in quantum information tasks, but extremely challenging due to the curse of dimensionality. In this work, we present an efficient quantum tomography protocol that combines the state-factored with eigenvalue mapping to address the rank-deficient issue and incorporates a momentum-accelerated gradient descent algorithm to speed up the optimization process. We implement extensive numerical experiments to demonstrate that our factored gradient descent algorithm efficiently mitigates the rank-deficient problem and adm"},"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":"2207.05341","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-07-12T06:45:35Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"29b175f7600f397d61300f50f2b9562540091e3e9430640290b04c9ef2612019","abstract_canon_sha256":"58a71f875e6c7e409fa70e26413168823a814301935ad8bd32553659e9e317b8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:40:51.249606Z","signature_b64":"DVL0aqqGkbdv51W8/NFAUDKUe787fGIwaZ7AVkFcodvG+/jAd51erBfv6OLnJcceRZeNVhoJQWR61MxixRUFBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba15483284e24a2e693b23b4c98fd1707ac65c543a26dca52c8ecad9d379f071","last_reissued_at":"2026-07-05T08:40:51.249178Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:40:51.249178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient factored gradient descent algorithm for quantum state tomography","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"quant-ph","authors_text":"Jie Chen, Lijun Liu, Li Li, Shuming Cheng, Yong Wang","submitted_at":"2022-07-12T06:45:35Z","abstract_excerpt":"Reconstructing the state of quantum many-body systems is of fundamental importance in quantum information tasks, but extremely challenging due to the curse of dimensionality. In this work, we present an efficient quantum tomography protocol that combines the state-factored with eigenvalue mapping to address the rank-deficient issue and incorporates a momentum-accelerated gradient descent algorithm to speed up the optimization process. We implement extensive numerical experiments to demonstrate that our factored gradient descent algorithm efficiently mitigates the rank-deficient problem and adm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.05341","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/2207.05341/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":"2207.05341","created_at":"2026-07-05T08:40:51.249236+00:00"},{"alias_kind":"arxiv_version","alias_value":"2207.05341v4","created_at":"2026-07-05T08:40:51.249236+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.05341","created_at":"2026-07-05T08:40:51.249236+00:00"},{"alias_kind":"pith_short_12","alias_value":"XIKUQMUE4JFC","created_at":"2026-07-05T08:40:51.249236+00:00"},{"alias_kind":"pith_short_16","alias_value":"XIKUQMUE4JFC42J3","created_at":"2026-07-05T08:40:51.249236+00:00"},{"alias_kind":"pith_short_8","alias_value":"XIKUQMUE","created_at":"2026-07-05T08:40:51.249236+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/XIKUQMUE4JFC42J3EO2MTD6ROB","json":"https://pith.science/pith/XIKUQMUE4JFC42J3EO2MTD6ROB.json","graph_json":"https://pith.science/api/pith-number/XIKUQMUE4JFC42J3EO2MTD6ROB/graph.json","events_json":"https://pith.science/api/pith-number/XIKUQMUE4JFC42J3EO2MTD6ROB/events.json","paper":"https://pith.science/paper/XIKUQMUE"},"agent_actions":{"view_html":"https://pith.science/pith/XIKUQMUE4JFC42J3EO2MTD6ROB","download_json":"https://pith.science/pith/XIKUQMUE4JFC42J3EO2MTD6ROB.json","view_paper":"https://pith.science/paper/XIKUQMUE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2207.05341&json=true","fetch_graph":"https://pith.science/api/pith-number/XIKUQMUE4JFC42J3EO2MTD6ROB/graph.json","fetch_events":"https://pith.science/api/pith-number/XIKUQMUE4JFC42J3EO2MTD6ROB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XIKUQMUE4JFC42J3EO2MTD6ROB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XIKUQMUE4JFC42J3EO2MTD6ROB/action/storage_attestation","attest_author":"https://pith.science/pith/XIKUQMUE4JFC42J3EO2MTD6ROB/action/author_attestation","sign_citation":"https://pith.science/pith/XIKUQMUE4JFC42J3EO2MTD6ROB/action/citation_signature","submit_replication":"https://pith.science/pith/XIKUQMUE4JFC42J3EO2MTD6ROB/action/replication_record"}},"created_at":"2026-07-05T08:40:51.249236+00:00","updated_at":"2026-07-05T08:40:51.249236+00:00"}