{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZGMBROKTD6DCXXD2SLQSMM5QHC","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":"70dff6cf892e4878604f63e890d8fc1dc6da7a0b307bdd9f2f82c651b27fc0c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-13T17:23:23Z","title_canon_sha256":"fa5db68e37ba8a9f26df0b9d9743e8c068e9656ff7ace4b9e042f162dfe9b256"},"schema_version":"1.0","source":{"id":"1202.2798","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2798","created_at":"2026-05-18T03:06:03Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2798v4","created_at":"2026-05-18T03:06:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2798","created_at":"2026-05-18T03:06:03Z"},{"alias_kind":"pith_short_12","alias_value":"ZGMBROKTD6DC","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZGMBROKTD6DCXXD2","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZGMBROKT","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:584d7d3e06321ca4f6ef861383482a623d7f7bbb49e5a17e34c68eb4f231e506","target":"graph","created_at":"2026-05-18T03:06:03Z","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"},"paper":{"abstract_excerpt":"For a two-qubit system under local depolarizing channels, the most robust and most fragile states are derived for a given concurrence or negativity. For the one-sided channel, the pure states are proved to be the most robust ones, with the aid of the evolution equation for entanglement given by Konrad et al. [Nat. Phys. 4, 99 (2008)]. Based on a generalization of the evolution equation for entanglement, we classify the ansatz states in our investigation by the amount of robustness, and consequently derive the most fragile states. For the two-sided channel, the pure states are the most robust f","authors_text":"Chao-Qian Pang, Fu-Lin Zhang, Jing-Ling Chen, Mai-Lin Liang, Yue Jiang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-13T17:23:23Z","title":"Most robust and fragile two-qubit entangled states under depolarizing channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2798","kind":"arxiv","version":4},"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":"sha256:98b6f16ff306ca305afa93e2531d67946ef66b24b226dc436445bf766ffccffa","target":"record","created_at":"2026-05-18T03:06:03Z","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":"70dff6cf892e4878604f63e890d8fc1dc6da7a0b307bdd9f2f82c651b27fc0c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-13T17:23:23Z","title_canon_sha256":"fa5db68e37ba8a9f26df0b9d9743e8c068e9656ff7ace4b9e042f162dfe9b256"},"schema_version":"1.0","source":{"id":"1202.2798","kind":"arxiv","version":4}},"canonical_sha256":"c99818b9531f862bdc7a92e12633b038a05cad3e18866050ebfe92639fab92fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c99818b9531f862bdc7a92e12633b038a05cad3e18866050ebfe92639fab92fe","first_computed_at":"2026-05-18T03:06:03.755940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:03.755940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gnOsypl2w2OrzWCv+XLXXZPUlMVPp2yzu+00+hTLLl9z/JrgTX9dgt69B8wFN5kR3aLe9AM4a0AeQq5rtEZxDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:03.756727Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.2798","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98b6f16ff306ca305afa93e2531d67946ef66b24b226dc436445bf766ffccffa","sha256:584d7d3e06321ca4f6ef861383482a623d7f7bbb49e5a17e34c68eb4f231e506"],"state_sha256":"172281a05d17fd82ea82983635d53e74526d1d2cc299933bff70be4bdab9b679"}