{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:2K22EGFERUIMADJNQIO6PLI3SW","short_pith_number":"pith:2K22EGFE","schema_version":"1.0","canonical_sha256":"d2b5a218a48d10c00d2d821de7ad1b9595e18ba55b678b1144fefb65d8e3b9bd","source":{"kind":"arxiv","id":"1407.4386","version":4},"attestation_state":"computed","paper":{"title":"Bipartite separability of one parameter families of states using conditional quantum relative Tsallis entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. K. Rajagopal, Anantha S Nayak, A. R. Usha Devi, Sudha","submitted_at":"2014-07-16T17:12:29Z","abstract_excerpt":"In any bipartition of a quantum state, it is proved that the negative values of the conditional version of sandwiched Tsallis relative entropy necessarily implies quantum entanglement. For any N, the separability ranges in the $1:N-1$ partition of symmetric one parameter families of noisy $N$-qubit W, GHZ, states are determined using the conditional quantum relative Tsallis entropy approach. The 1:N-1 separability range matches exactly with the range obtained through positive partial transpose criterion, for all N. The advantages of using non-commuting version of $q$-conditional relative Tsall"},"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":"1407.4386","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-16T17:12:29Z","cross_cats_sorted":[],"title_canon_sha256":"e3954ccf50b49efd8e5da280a975c20d032b618fa09a47652cae18a4156c108b","abstract_canon_sha256":"a22151d44a6015f680c84737087f53900c539c59b58a349beb6e217abecd9052"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:08.415093Z","signature_b64":"ydVpnMQ9dzQy42fJnJg5WjQj0TKbBv6Q8bG4xF0FhpRWtF5xUdjBvxVG4+vXdABo6UlDxpXf43rtpT9kHzGMDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2b5a218a48d10c00d2d821de7ad1b9595e18ba55b678b1144fefb65d8e3b9bd","last_reissued_at":"2026-05-18T01:32:08.414430Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:08.414430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bipartite separability of one parameter families of states using conditional quantum relative Tsallis entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. K. Rajagopal, Anantha S Nayak, A. R. Usha Devi, Sudha","submitted_at":"2014-07-16T17:12:29Z","abstract_excerpt":"In any bipartition of a quantum state, it is proved that the negative values of the conditional version of sandwiched Tsallis relative entropy necessarily implies quantum entanglement. For any N, the separability ranges in the $1:N-1$ partition of symmetric one parameter families of noisy $N$-qubit W, GHZ, states are determined using the conditional quantum relative Tsallis entropy approach. The 1:N-1 separability range matches exactly with the range obtained through positive partial transpose criterion, for all N. The advantages of using non-commuting version of $q$-conditional relative Tsall"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4386","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1407.4386","created_at":"2026-05-18T01:32:08.414540+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.4386v4","created_at":"2026-05-18T01:32:08.414540+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4386","created_at":"2026-05-18T01:32:08.414540+00:00"},{"alias_kind":"pith_short_12","alias_value":"2K22EGFERUIM","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"2K22EGFERUIMADJN","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"2K22EGFE","created_at":"2026-05-18T12:28:11.866339+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/2K22EGFERUIMADJNQIO6PLI3SW","json":"https://pith.science/pith/2K22EGFERUIMADJNQIO6PLI3SW.json","graph_json":"https://pith.science/api/pith-number/2K22EGFERUIMADJNQIO6PLI3SW/graph.json","events_json":"https://pith.science/api/pith-number/2K22EGFERUIMADJNQIO6PLI3SW/events.json","paper":"https://pith.science/paper/2K22EGFE"},"agent_actions":{"view_html":"https://pith.science/pith/2K22EGFERUIMADJNQIO6PLI3SW","download_json":"https://pith.science/pith/2K22EGFERUIMADJNQIO6PLI3SW.json","view_paper":"https://pith.science/paper/2K22EGFE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.4386&json=true","fetch_graph":"https://pith.science/api/pith-number/2K22EGFERUIMADJNQIO6PLI3SW/graph.json","fetch_events":"https://pith.science/api/pith-number/2K22EGFERUIMADJNQIO6PLI3SW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2K22EGFERUIMADJNQIO6PLI3SW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2K22EGFERUIMADJNQIO6PLI3SW/action/storage_attestation","attest_author":"https://pith.science/pith/2K22EGFERUIMADJNQIO6PLI3SW/action/author_attestation","sign_citation":"https://pith.science/pith/2K22EGFERUIMADJNQIO6PLI3SW/action/citation_signature","submit_replication":"https://pith.science/pith/2K22EGFERUIMADJNQIO6PLI3SW/action/replication_record"}},"created_at":"2026-05-18T01:32:08.414540+00:00","updated_at":"2026-05-18T01:32:08.414540+00:00"}