{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:U7JQFDHPN7QYSMQM4JYRRII3DP","short_pith_number":"pith:U7JQFDHP","schema_version":"1.0","canonical_sha256":"a7d3028cef6fe189320ce27118a11b1be8d70ccb8e1cc41ba5b7fddbe27ad945","source":{"kind":"arxiv","id":"1906.08326","version":1},"attestation_state":"computed","paper":{"title":"Coherence Fraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ajoy Sen, Amit Bhar, Debasis Sarkar, Indrani Chattopadhyay, Sumana Karmakar","submitted_at":"2019-06-19T19:56:34Z","abstract_excerpt":"The concept of entanglement fraction is generalized to define coherence fraction of a quantum state. Precisely, it quantifies the proximity of a quantum state to maximally coherent state and it can be used as a measure of coherence. Coherence fraction has a connection with $l_1$-norm coherence and provides the criteria of coherence distillability. Optimal coherence fraction corresponding to a channel, defined from this new idea of coherence fraction, obeys a complementary relation with its decohering power. The connection between coherence fraction and $l_1$-norm coherence turns to hold for bi"},"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":"1906.08326","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-06-19T19:56:34Z","cross_cats_sorted":[],"title_canon_sha256":"4a0c52f52b6432420cb7c08f4e4d9a631720c0beba712646731d286a4dc3a514","abstract_canon_sha256":"d798af0e2fd116528f9ed33be9172ab73c2d8df7ba50bcf6e6e6dd0e4446847a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:52.822614Z","signature_b64":"NhseVibYoTsFsQv8k30LfpfoYc+GMsPdDEp5osEPlmi2LcAkjGexGOJLZXZ6i9A6c1AAwo31sC9Fr+vTmJ/8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7d3028cef6fe189320ce27118a11b1be8d70ccb8e1cc41ba5b7fddbe27ad945","last_reissued_at":"2026-05-17T23:42:52.822021Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:52.822021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coherence Fraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ajoy Sen, Amit Bhar, Debasis Sarkar, Indrani Chattopadhyay, Sumana Karmakar","submitted_at":"2019-06-19T19:56:34Z","abstract_excerpt":"The concept of entanglement fraction is generalized to define coherence fraction of a quantum state. Precisely, it quantifies the proximity of a quantum state to maximally coherent state and it can be used as a measure of coherence. Coherence fraction has a connection with $l_1$-norm coherence and provides the criteria of coherence distillability. Optimal coherence fraction corresponding to a channel, defined from this new idea of coherence fraction, obeys a complementary relation with its decohering power. The connection between coherence fraction and $l_1$-norm coherence turns to hold for bi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.08326","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":""},"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":"1906.08326","created_at":"2026-05-17T23:42:52.822104+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.08326v1","created_at":"2026-05-17T23:42:52.822104+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.08326","created_at":"2026-05-17T23:42:52.822104+00:00"},{"alias_kind":"pith_short_12","alias_value":"U7JQFDHPN7QY","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"U7JQFDHPN7QYSMQM","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"U7JQFDHP","created_at":"2026-05-18T12:33:30.264802+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/U7JQFDHPN7QYSMQM4JYRRII3DP","json":"https://pith.science/pith/U7JQFDHPN7QYSMQM4JYRRII3DP.json","graph_json":"https://pith.science/api/pith-number/U7JQFDHPN7QYSMQM4JYRRII3DP/graph.json","events_json":"https://pith.science/api/pith-number/U7JQFDHPN7QYSMQM4JYRRII3DP/events.json","paper":"https://pith.science/paper/U7JQFDHP"},"agent_actions":{"view_html":"https://pith.science/pith/U7JQFDHPN7QYSMQM4JYRRII3DP","download_json":"https://pith.science/pith/U7JQFDHPN7QYSMQM4JYRRII3DP.json","view_paper":"https://pith.science/paper/U7JQFDHP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.08326&json=true","fetch_graph":"https://pith.science/api/pith-number/U7JQFDHPN7QYSMQM4JYRRII3DP/graph.json","fetch_events":"https://pith.science/api/pith-number/U7JQFDHPN7QYSMQM4JYRRII3DP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U7JQFDHPN7QYSMQM4JYRRII3DP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U7JQFDHPN7QYSMQM4JYRRII3DP/action/storage_attestation","attest_author":"https://pith.science/pith/U7JQFDHPN7QYSMQM4JYRRII3DP/action/author_attestation","sign_citation":"https://pith.science/pith/U7JQFDHPN7QYSMQM4JYRRII3DP/action/citation_signature","submit_replication":"https://pith.science/pith/U7JQFDHPN7QYSMQM4JYRRII3DP/action/replication_record"}},"created_at":"2026-05-17T23:42:52.822104+00:00","updated_at":"2026-05-17T23:42:52.822104+00:00"}