{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:3MPUFCG2OUOMVLSCF624DYK7S5","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":"f23e6235044e0b84d0f208f23c8578a8e2479cf36f4477343fd87f70d8d01fda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-03-04T16:06:30Z","title_canon_sha256":"b52cb1e7a46aa6bfb6a9ce58f22ae9f58a1723b0703f9641e41c6209d6ba478a"},"schema_version":"1.0","source":{"id":"2103.03131","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.03131","created_at":"2026-07-05T05:56:36Z"},{"alias_kind":"arxiv_version","alias_value":"2103.03131v1","created_at":"2026-07-05T05:56:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.03131","created_at":"2026-07-05T05:56:36Z"},{"alias_kind":"pith_short_12","alias_value":"3MPUFCG2OUOM","created_at":"2026-07-05T05:56:36Z"},{"alias_kind":"pith_short_16","alias_value":"3MPUFCG2OUOMVLSC","created_at":"2026-07-05T05:56:36Z"},{"alias_kind":"pith_short_8","alias_value":"3MPUFCG2","created_at":"2026-07-05T05:56:36Z"}],"graph_snapshots":[{"event_id":"sha256:ca07ffd8046941c4ec7422cb4bdca03266dadb836b41f3ab7510a909a20b8d26","target":"graph","created_at":"2026-07-05T05:56:36Z","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/2103.03131/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Dimensionality reduction (DR) of data is a crucial issue for many machine learning tasks, such as pattern recognition and data classification. In this paper, we present a quantum algorithm and a quantum circuit to efficiently perform linear discriminant analysis (LDA) for dimensionality reduction. Firstly, the presented algorithm improves the existing quantum LDA algorithm to avoid the error caused by the irreversibility of the between-class scatter matrix $S_B$ in the original algorithm. Secondly, a quantum algorithm and quantum circuits are proposed to obtain the target state corresponding t","authors_text":"Gong-De Guo, Kai Yu, Song Lin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-03-04T16:06:30Z","title":"Quantum Dimensionality Reduction by Linear Discriminant Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.03131","kind":"arxiv","version":1},"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":"sha256:4b2ef38940aa5d5de1f3996f263bed788d577ee32b9449cd2680c93cc7a92c6c","target":"record","created_at":"2026-07-05T05:56:36Z","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":"f23e6235044e0b84d0f208f23c8578a8e2479cf36f4477343fd87f70d8d01fda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-03-04T16:06:30Z","title_canon_sha256":"b52cb1e7a46aa6bfb6a9ce58f22ae9f58a1723b0703f9641e41c6209d6ba478a"},"schema_version":"1.0","source":{"id":"2103.03131","kind":"arxiv","version":1}},"canonical_sha256":"db1f4288da751ccaae422fb5c1e15f9747004d8c753e931f0009cfd768783c8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db1f4288da751ccaae422fb5c1e15f9747004d8c753e931f0009cfd768783c8a","first_computed_at":"2026-07-05T05:56:36.943158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:56:36.943158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iCFXcAbth9iwDx4l61Vwm0BXdL1bRFKmOLWzW9ZDIvaZzCLKV1od05+xrhMwMNAwz4zhwPi3P3md2Mj+aBFCDw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:56:36.943504Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.03131","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b2ef38940aa5d5de1f3996f263bed788d577ee32b9449cd2680c93cc7a92c6c","sha256:ca07ffd8046941c4ec7422cb4bdca03266dadb836b41f3ab7510a909a20b8d26"],"state_sha256":"24910d88fa69ef4f05636abb69b326a6caa084d591b0fdb28143896d3ad2ff5a"}