{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:F4J47K6BWK5IGIOFA57ADN4JNI","short_pith_number":"pith:F4J47K6B","schema_version":"1.0","canonical_sha256":"2f13cfabc1b2ba8321c5077e01b7896a0b2117cc6bf6481402f83a0d0fa30998","source":{"kind":"arxiv","id":"1712.08423","version":2},"attestation_state":"computed","paper":{"title":"Entanglement sharing via qudit channels: Nonmaximally entangled states may be necessary for one-shot optimal singlet fraction and negativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Rajarshi Pal, Somshubhro Bandyopadhyay","submitted_at":"2017-12-22T12:50:49Z","abstract_excerpt":"We consider the problem of establishing entangled states of optimal singlet fraction and negativity between two remote parties for every use of a noisy quantum channel and trace-preserving LOCC under the assumption that the parties do not share prior correlations. We show that for a family of quantum channels in every finite dimension $d\\geq3$, one-shot optimal singlet fraction and entanglement negativity are attained only with appropriate nonmaximally entangled states. We further show that the generalization of the formula that exactly computes one-shot optimal singlet fraction for qubit chan"},"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":"1712.08423","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-12-22T12:50:49Z","cross_cats_sorted":[],"title_canon_sha256":"8cbf95ab3ed061cb90a103e009853cd28b2676d3983e6e8a52b8b26ba47af782","abstract_canon_sha256":"16d2276eb9ab0a21fed64ed6218f184ae2a45319cc70f230ccd3b307247d1050"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:37.778466Z","signature_b64":"x4o3bjKCZ6Dk+swSBXTqU40wdT4UoskKEdgfA7XPD3m49vuevCNrE7X/DMikZYDUX8nqORtWmr37CdropSJ3Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f13cfabc1b2ba8321c5077e01b7896a0b2117cc6bf6481402f83a0d0fa30998","last_reissued_at":"2026-05-18T00:20:37.777836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:37.777836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement sharing via qudit channels: Nonmaximally entangled states may be necessary for one-shot optimal singlet fraction and negativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Rajarshi Pal, Somshubhro Bandyopadhyay","submitted_at":"2017-12-22T12:50:49Z","abstract_excerpt":"We consider the problem of establishing entangled states of optimal singlet fraction and negativity between two remote parties for every use of a noisy quantum channel and trace-preserving LOCC under the assumption that the parties do not share prior correlations. We show that for a family of quantum channels in every finite dimension $d\\geq3$, one-shot optimal singlet fraction and entanglement negativity are attained only with appropriate nonmaximally entangled states. We further show that the generalization of the formula that exactly computes one-shot optimal singlet fraction for qubit chan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08423","kind":"arxiv","version":2},"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":"1712.08423","created_at":"2026-05-18T00:20:37.777921+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.08423v2","created_at":"2026-05-18T00:20:37.777921+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.08423","created_at":"2026-05-18T00:20:37.777921+00:00"},{"alias_kind":"pith_short_12","alias_value":"F4J47K6BWK5I","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"F4J47K6BWK5IGIOF","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"F4J47K6B","created_at":"2026-05-18T12:31:15.632608+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/F4J47K6BWK5IGIOFA57ADN4JNI","json":"https://pith.science/pith/F4J47K6BWK5IGIOFA57ADN4JNI.json","graph_json":"https://pith.science/api/pith-number/F4J47K6BWK5IGIOFA57ADN4JNI/graph.json","events_json":"https://pith.science/api/pith-number/F4J47K6BWK5IGIOFA57ADN4JNI/events.json","paper":"https://pith.science/paper/F4J47K6B"},"agent_actions":{"view_html":"https://pith.science/pith/F4J47K6BWK5IGIOFA57ADN4JNI","download_json":"https://pith.science/pith/F4J47K6BWK5IGIOFA57ADN4JNI.json","view_paper":"https://pith.science/paper/F4J47K6B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.08423&json=true","fetch_graph":"https://pith.science/api/pith-number/F4J47K6BWK5IGIOFA57ADN4JNI/graph.json","fetch_events":"https://pith.science/api/pith-number/F4J47K6BWK5IGIOFA57ADN4JNI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F4J47K6BWK5IGIOFA57ADN4JNI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F4J47K6BWK5IGIOFA57ADN4JNI/action/storage_attestation","attest_author":"https://pith.science/pith/F4J47K6BWK5IGIOFA57ADN4JNI/action/author_attestation","sign_citation":"https://pith.science/pith/F4J47K6BWK5IGIOFA57ADN4JNI/action/citation_signature","submit_replication":"https://pith.science/pith/F4J47K6BWK5IGIOFA57ADN4JNI/action/replication_record"}},"created_at":"2026-05-18T00:20:37.777921+00:00","updated_at":"2026-05-18T00:20:37.777921+00:00"}