{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:YM7YNYQQVFLRN3NWBYBR5ASNXL","short_pith_number":"pith:YM7YNYQQ","schema_version":"1.0","canonical_sha256":"c33f86e210a95716edb60e031e824dbadb8113084cf92c980795edafc5620bbe","source":{"kind":"arxiv","id":"2508.05484","version":1},"attestation_state":"computed","paper":{"title":"Efficient certification of high-dimensional entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Huangjun Zhu, Yiwen Wu, Zihao Li","submitted_at":"2025-08-07T15:23:46Z","abstract_excerpt":"High-dimensional entanglement (HDE) is a valuable resource in quantum information processing, and efficient certification of HDE is crucial to many applications. In this work, we propose a simple and general framework for certifying HDE in general bipartite pure states under restricted operations, such as local operations and classical communication (LOCC). On this basis we show that HDE in general bipartite pure states can be certified efficiently. Moreover, the sample cost for certifying a given degree of HDE even decreases monotonically with the local dimensions. In addition, for a general "},"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":"2508.05484","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-08-07T15:23:46Z","cross_cats_sorted":[],"title_canon_sha256":"88125dac1228ae4ee0fa4b7a7a4b228c3b10dbee9a08bafb1ddb1574017ef33c","abstract_canon_sha256":"0ebe098a05906589d62a15720ad744b8eaeab2f138d00ad36ac8ca1e48400e8c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:50:14.068015Z","signature_b64":"Ub5J+NCviWfrl/7XPghl3ZXU6pLyMt2tMDQhJg2wzp5hYd+d5HMTTdRmcEQdqn2WWnXEjGOYBlxXKI6fsN0qAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c33f86e210a95716edb60e031e824dbadb8113084cf92c980795edafc5620bbe","last_reissued_at":"2026-07-05T11:50:14.067537Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:50:14.067537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient certification of high-dimensional entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Huangjun Zhu, Yiwen Wu, Zihao Li","submitted_at":"2025-08-07T15:23:46Z","abstract_excerpt":"High-dimensional entanglement (HDE) is a valuable resource in quantum information processing, and efficient certification of HDE is crucial to many applications. In this work, we propose a simple and general framework for certifying HDE in general bipartite pure states under restricted operations, such as local operations and classical communication (LOCC). On this basis we show that HDE in general bipartite pure states can be certified efficiently. Moreover, the sample cost for certifying a given degree of HDE even decreases monotonically with the local dimensions. In addition, for a general "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.05484","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/2508.05484/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":"2508.05484","created_at":"2026-07-05T11:50:14.067594+00:00"},{"alias_kind":"arxiv_version","alias_value":"2508.05484v1","created_at":"2026-07-05T11:50:14.067594+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.05484","created_at":"2026-07-05T11:50:14.067594+00:00"},{"alias_kind":"pith_short_12","alias_value":"YM7YNYQQVFLR","created_at":"2026-07-05T11:50:14.067594+00:00"},{"alias_kind":"pith_short_16","alias_value":"YM7YNYQQVFLRN3NW","created_at":"2026-07-05T11:50:14.067594+00:00"},{"alias_kind":"pith_short_8","alias_value":"YM7YNYQQ","created_at":"2026-07-05T11:50:14.067594+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/YM7YNYQQVFLRN3NWBYBR5ASNXL","json":"https://pith.science/pith/YM7YNYQQVFLRN3NWBYBR5ASNXL.json","graph_json":"https://pith.science/api/pith-number/YM7YNYQQVFLRN3NWBYBR5ASNXL/graph.json","events_json":"https://pith.science/api/pith-number/YM7YNYQQVFLRN3NWBYBR5ASNXL/events.json","paper":"https://pith.science/paper/YM7YNYQQ"},"agent_actions":{"view_html":"https://pith.science/pith/YM7YNYQQVFLRN3NWBYBR5ASNXL","download_json":"https://pith.science/pith/YM7YNYQQVFLRN3NWBYBR5ASNXL.json","view_paper":"https://pith.science/paper/YM7YNYQQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2508.05484&json=true","fetch_graph":"https://pith.science/api/pith-number/YM7YNYQQVFLRN3NWBYBR5ASNXL/graph.json","fetch_events":"https://pith.science/api/pith-number/YM7YNYQQVFLRN3NWBYBR5ASNXL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YM7YNYQQVFLRN3NWBYBR5ASNXL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YM7YNYQQVFLRN3NWBYBR5ASNXL/action/storage_attestation","attest_author":"https://pith.science/pith/YM7YNYQQVFLRN3NWBYBR5ASNXL/action/author_attestation","sign_citation":"https://pith.science/pith/YM7YNYQQVFLRN3NWBYBR5ASNXL/action/citation_signature","submit_replication":"https://pith.science/pith/YM7YNYQQVFLRN3NWBYBR5ASNXL/action/replication_record"}},"created_at":"2026-07-05T11:50:14.067594+00:00","updated_at":"2026-07-05T11:50:14.067594+00:00"}