{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:HTQRWVAAH3U3DTULSUHNUAGJXF","short_pith_number":"pith:HTQRWVAA","schema_version":"1.0","canonical_sha256":"3ce11b54003ee9b1ce8b950eda00c9b956d1cb0e2984f85c5394582e4a3df7f3","source":{"kind":"arxiv","id":"2607.19577","version":1},"attestation_state":"computed","paper":{"title":"Rank-Adaptive Matrix-Free Atomic Quantum State Tomography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.SP"],"primary_cat":"quant-ph","authors_text":"Alireza Sadeghi, Amirhossein Taherpour, Georgios B. Giannakis","submitted_at":"2026-07-21T21:08:08Z","abstract_excerpt":"Quantum state tomography estimates an unknown density operator from measurement data. Dense reconstruction however, can be impractical for many-qubit systems because the Hilbert-space dimension grows exponentially. This contribution develops a rank-adaptive matrix-free approach to low-rank quantum state tomography based on rank-one atomic coordinates. The density operator is represented as a convex combination of pure-state atoms, which preserves positivity and unit trace while avoiding dense density, measurement, and gradient matrices. The resultant algorithm combines atom updates, simplex-co"},"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":"2607.19577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-21T21:08:08Z","cross_cats_sorted":["eess.SP"],"title_canon_sha256":"91fb1133b13dcf3febfebba140e4ee99f2b0bb124d659da42ba3e1036b260878","abstract_canon_sha256":"ac2ab16de4daad5aeb226ef989f4b10dec53d4dc638f5f0be3c531b3ffaa1263"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-23T00:23:57.356814Z","signature_b64":"0Ff1CIGfhFk+DwVYz0jMv9bNOYJIsRWzvauAspmHEYmMAlkCsHDTirMNHCisQ4mZepT/29082lfpA4UlZf4NCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ce11b54003ee9b1ce8b950eda00c9b956d1cb0e2984f85c5394582e4a3df7f3","last_reissued_at":"2026-07-23T00:23:57.356000Z","signature_status":"signed_v1","first_computed_at":"2026-07-23T00:23:57.356000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rank-Adaptive Matrix-Free Atomic Quantum State Tomography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.SP"],"primary_cat":"quant-ph","authors_text":"Alireza Sadeghi, Amirhossein Taherpour, Georgios B. Giannakis","submitted_at":"2026-07-21T21:08:08Z","abstract_excerpt":"Quantum state tomography estimates an unknown density operator from measurement data. Dense reconstruction however, can be impractical for many-qubit systems because the Hilbert-space dimension grows exponentially. This contribution develops a rank-adaptive matrix-free approach to low-rank quantum state tomography based on rank-one atomic coordinates. The density operator is represented as a convex combination of pure-state atoms, which preserves positivity and unit trace while avoiding dense density, measurement, and gradient matrices. The resultant algorithm combines atom updates, simplex-co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19577","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/2607.19577/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":"2607.19577","created_at":"2026-07-23T00:23:57.356429+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.19577v1","created_at":"2026-07-23T00:23:57.356429+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19577","created_at":"2026-07-23T00:23:57.356429+00:00"},{"alias_kind":"pith_short_12","alias_value":"HTQRWVAAH3U3","created_at":"2026-07-23T00:23:57.356429+00:00"},{"alias_kind":"pith_short_16","alias_value":"HTQRWVAAH3U3DTUL","created_at":"2026-07-23T00:23:57.356429+00:00"},{"alias_kind":"pith_short_8","alias_value":"HTQRWVAA","created_at":"2026-07-23T00:23:57.356429+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/HTQRWVAAH3U3DTULSUHNUAGJXF","json":"https://pith.science/pith/HTQRWVAAH3U3DTULSUHNUAGJXF.json","graph_json":"https://pith.science/api/pith-number/HTQRWVAAH3U3DTULSUHNUAGJXF/graph.json","events_json":"https://pith.science/api/pith-number/HTQRWVAAH3U3DTULSUHNUAGJXF/events.json","paper":"https://pith.science/paper/HTQRWVAA"},"agent_actions":{"view_html":"https://pith.science/pith/HTQRWVAAH3U3DTULSUHNUAGJXF","download_json":"https://pith.science/pith/HTQRWVAAH3U3DTULSUHNUAGJXF.json","view_paper":"https://pith.science/paper/HTQRWVAA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.19577&json=true","fetch_graph":"https://pith.science/api/pith-number/HTQRWVAAH3U3DTULSUHNUAGJXF/graph.json","fetch_events":"https://pith.science/api/pith-number/HTQRWVAAH3U3DTULSUHNUAGJXF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HTQRWVAAH3U3DTULSUHNUAGJXF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HTQRWVAAH3U3DTULSUHNUAGJXF/action/storage_attestation","attest_author":"https://pith.science/pith/HTQRWVAAH3U3DTULSUHNUAGJXF/action/author_attestation","sign_citation":"https://pith.science/pith/HTQRWVAAH3U3DTULSUHNUAGJXF/action/citation_signature","submit_replication":"https://pith.science/pith/HTQRWVAAH3U3DTULSUHNUAGJXF/action/replication_record"}},"created_at":"2026-07-23T00:23:57.356429+00:00","updated_at":"2026-07-23T00:23:57.356429+00:00"}