{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7X2LPG7KCYNKNTXPU4DRL66MAB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8a4f5e889a300844d0bbc3e57c90eb51e369c2419ec07c637713eb4bab0e133a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-09-05T11:36:54Z","title_canon_sha256":"5d1c7f1476d37c2df5e714aad8a6c063966a8a22cbc3288bb8d15f9d7fb09826"},"schema_version":"1.0","source":{"id":"2409.03435","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.03435","created_at":"2026-07-05T09:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"2409.03435v2","created_at":"2026-07-05T09:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.03435","created_at":"2026-07-05T09:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"7X2LPG7KCYNK","created_at":"2026-07-05T09:41:01Z"},{"alias_kind":"pith_short_16","alias_value":"7X2LPG7KCYNKNTXP","created_at":"2026-07-05T09:41:01Z"},{"alias_kind":"pith_short_8","alias_value":"7X2LPG7K","created_at":"2026-07-05T09:41:01Z"}],"graph_snapshots":[{"event_id":"sha256:ad8d548eb6f082119e826dbafdaf686db58e8f8df40ab0feb3f1564b03e8498f","target":"graph","created_at":"2026-07-05T09:41:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2409.03435/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Efficient understanding of a quantum system fundamentally relies on the selection of observables. Pauli observables and mutually unbiased bases (MUBs) are widely used in practice and are often regarded as theoretically optimal for quantum state tomography (QST). However, Pauli observables require a large number of measurements for full-state tomography and do not permit direct measurement of density matrix elements with a constant number of observables. For MUBs, the existence of complete sets of \\(d+1\\) bases in all dimensions remains unresolved, highlighting the need for alternative observab","authors_text":"Hanru Jiang, Keren Li, Yongxiang Liu, Yu Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-09-05T11:36:54Z","title":"Direct Measurement of Density Matrices via Dense Dual Bases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.03435","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fb0b57c3020f0a61528ffe9f7714632538ba7935522fdd415c3a6f0b4d957b64","target":"record","created_at":"2026-07-05T09:41:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8a4f5e889a300844d0bbc3e57c90eb51e369c2419ec07c637713eb4bab0e133a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-09-05T11:36:54Z","title_canon_sha256":"5d1c7f1476d37c2df5e714aad8a6c063966a8a22cbc3288bb8d15f9d7fb09826"},"schema_version":"1.0","source":{"id":"2409.03435","kind":"arxiv","version":2}},"canonical_sha256":"fdf4b79bea161aa6ceefa70715fbcc0057b40b8b91d5f54d1a948c7abacc2151","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdf4b79bea161aa6ceefa70715fbcc0057b40b8b91d5f54d1a948c7abacc2151","first_computed_at":"2026-07-05T09:41:01.779956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:41:01.779956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PvEwZ3s3Od+m2yU8zkrvXNZfQV0Lyi/N3zbTROsuL45PtAU0Daf8Y6Bmq9eXKG7fXcvbB3zoSqey/DMaKlOiAw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:41:01.780435Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.03435","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb0b57c3020f0a61528ffe9f7714632538ba7935522fdd415c3a6f0b4d957b64","sha256:ad8d548eb6f082119e826dbafdaf686db58e8f8df40ab0feb3f1564b03e8498f"],"state_sha256":"1d4985137207b140b90e98187a4e5e089e804c498b2385ccfedb8df314c3250c"}