{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3AUQKNMMJ2NYNVNIP7NNWWLK64","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":"f4026cbbb73cc004631e0dd2dad746098a8f36df4c64f0cfb1cb2b5681a28fcc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-09T01:51:03Z","title_canon_sha256":"f4e60432c51a81cc7c82256a89deae695e64175b88495482bbb3efcb7bb47bee"},"schema_version":"1.0","source":{"id":"1603.02760","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.02760","created_at":"2026-05-18T00:55:04Z"},{"alias_kind":"arxiv_version","alias_value":"1603.02760v1","created_at":"2026-05-18T00:55:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02760","created_at":"2026-05-18T00:55:04Z"},{"alias_kind":"pith_short_12","alias_value":"3AUQKNMMJ2NY","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3AUQKNMMJ2NYNVNI","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3AUQKNMM","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:a6660461d4252acc24a58d69a7bde8591d91fa06dd68d1484a3fa5df333677de","target":"graph","created_at":"2026-05-18T00:55:04Z","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":"We provide generalized entanglement constraints in multi-qubit systems in terms of Tsallis entropy. Using quantum Tsallis entropy of order $q$, we first provide a generalized monogamy inequality of multi-qubit entanglement for $q=2$ or $3$. This generalization encapsulates multi-qubit CKW-type inequality as a special case. We further provide a generalized polygamy inequality of multi-qubit entanglement in terms of Tsallis-$q$ entropy for $1 \\leq q \\leq2$ or $3 \\leq q \\leq 4$, which also contains the multi-qubit polygamy inequality as a special case.","authors_text":"Jeong San Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-09T01:51:03Z","title":"Generalized entanglement constraints in multi-qubit systems in terms of Tsallis entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02760","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:cd5c0ba25918b7b7d5a415bfedc5f4932e9e28c93d8193cfdc045d3ff977d2c4","target":"record","created_at":"2026-05-18T00:55:04Z","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":"f4026cbbb73cc004631e0dd2dad746098a8f36df4c64f0cfb1cb2b5681a28fcc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-09T01:51:03Z","title_canon_sha256":"f4e60432c51a81cc7c82256a89deae695e64175b88495482bbb3efcb7bb47bee"},"schema_version":"1.0","source":{"id":"1603.02760","kind":"arxiv","version":1}},"canonical_sha256":"d82905358c4e9b86d5a87fdadb596af7160a5fa5e8232a6ad3ab10bf09845332","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d82905358c4e9b86d5a87fdadb596af7160a5fa5e8232a6ad3ab10bf09845332","first_computed_at":"2026-05-18T00:55:04.094012Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:04.094012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ND4ZhvX5FTiDAQY+fOlulkSx6mTIgd4e1FuZAhwBfs1jpsiTlm+uP+0RUa9hO3KNWp3kN8co9JK27952+ul5DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:04.094824Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.02760","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd5c0ba25918b7b7d5a415bfedc5f4932e9e28c93d8193cfdc045d3ff977d2c4","sha256:a6660461d4252acc24a58d69a7bde8591d91fa06dd68d1484a3fa5df333677de"],"state_sha256":"7532e15b1152f1d28741135e9c5d5c7c7a8bc77f4c9c9cff39891e500e7631c7"}