{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:B5SSCDTPWDRLGNU6DOD2GQZMQB","short_pith_number":"pith:B5SSCDTP","canonical_record":{"source":{"id":"1711.02458","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-11-07T13:40:37Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6b6e56093b4a3a86f64ac2db7241144c8a31601f73bbedde6d2915028f4efab3","abstract_canon_sha256":"64370ecff5a9669eb0e17168a86568adc961ccef700926336a407abfe9a567e5"},"schema_version":"1.0"},"canonical_sha256":"0f65210e6fb0e2b3369e1b87a3432c804c484b09629da527542c8439e9544672","source":{"kind":"arxiv","id":"1711.02458","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.02458","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"arxiv_version","alias_value":"1711.02458v2","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.02458","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"pith_short_12","alias_value":"B5SSCDTPWDRL","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"B5SSCDTPWDRLGNU6","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"B5SSCDTP","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:B5SSCDTPWDRLGNU6DOD2GQZMQB","target":"record","payload":{"canonical_record":{"source":{"id":"1711.02458","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-11-07T13:40:37Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6b6e56093b4a3a86f64ac2db7241144c8a31601f73bbedde6d2915028f4efab3","abstract_canon_sha256":"64370ecff5a9669eb0e17168a86568adc961ccef700926336a407abfe9a567e5"},"schema_version":"1.0"},"canonical_sha256":"0f65210e6fb0e2b3369e1b87a3432c804c484b09629da527542c8439e9544672","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:21.785605Z","signature_b64":"DgeP33zO/GB1p51iYQSGrojT/fOXkZSazfYNfxHSBV1VS3097SvMxC9KurBaeYP1iKFoSMXXSo0/0J3DxhEXCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f65210e6fb0e2b3369e1b87a3432c804c484b09629da527542c8439e9544672","last_reissued_at":"2026-05-18T00:13:21.785078Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:21.785078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.02458","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:13:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R9+/Ah8FLamw1LQ4bCd/VgYK4xMH+fGdit3OJgIE8dMBX+rcdeDK1TthHg+l7TGTH4pIH777vy+QWjXFj7VhBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T01:35:02.446234Z"},"content_sha256":"98c57c574f641de06f22b934ee87c2af8d733fe2901a4f5c8c4b2c6a18ab8984","schema_version":"1.0","event_id":"sha256:98c57c574f641de06f22b934ee87c2af8d733fe2901a4f5c8c4b2c6a18ab8984"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:B5SSCDTPWDRLGNU6DOD2GQZMQB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coherence generating power of unitary transformations via probabilistic average","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Lin Zhang, Shao-Ming Fei, Zhihao Ma, Zhihua Chen","submitted_at":"2017-11-07T13:40:37Z","abstract_excerpt":"We study the ability of a quantum channel to generate quantum coherence when it applies to incoherent states. Based on probabilistic averages, we define a measure of such coherence generating power (CGP) for a generic quantum channel, based on the average coherence generated by the quantum channel acting on a uniform ensemble of incoherent states. Explicit analytical formula of the CGP for any unitary channels are presented in terms of subentropy. An upper bound for CGP of unital quantum channels has been also derived. Detailed examples are investigated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.02458","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:13:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"krxHlQt7vUUMX6UwIMvAsFzLEfQqSKgEm00tKRzKOepR5eBDRC/pvK8YQWuNNKn2zRWXlhzsSK9fW7SqWCMHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T01:35:02.446920Z"},"content_sha256":"61afe8995752b070603c43ad8c2909b790e00317d696e08ff62fc6e5d9e1ec51","schema_version":"1.0","event_id":"sha256:61afe8995752b070603c43ad8c2909b790e00317d696e08ff62fc6e5d9e1ec51"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B5SSCDTPWDRLGNU6DOD2GQZMQB/bundle.json","state_url":"https://pith.science/pith/B5SSCDTPWDRLGNU6DOD2GQZMQB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B5SSCDTPWDRLGNU6DOD2GQZMQB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T01:35:02Z","links":{"resolver":"https://pith.science/pith/B5SSCDTPWDRLGNU6DOD2GQZMQB","bundle":"https://pith.science/pith/B5SSCDTPWDRLGNU6DOD2GQZMQB/bundle.json","state":"https://pith.science/pith/B5SSCDTPWDRLGNU6DOD2GQZMQB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B5SSCDTPWDRLGNU6DOD2GQZMQB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:B5SSCDTPWDRLGNU6DOD2GQZMQB","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":"64370ecff5a9669eb0e17168a86568adc961ccef700926336a407abfe9a567e5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-11-07T13:40:37Z","title_canon_sha256":"6b6e56093b4a3a86f64ac2db7241144c8a31601f73bbedde6d2915028f4efab3"},"schema_version":"1.0","source":{"id":"1711.02458","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.02458","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"arxiv_version","alias_value":"1711.02458v2","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.02458","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"pith_short_12","alias_value":"B5SSCDTPWDRL","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"B5SSCDTPWDRLGNU6","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"B5SSCDTP","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:61afe8995752b070603c43ad8c2909b790e00317d696e08ff62fc6e5d9e1ec51","target":"graph","created_at":"2026-05-18T00:13:21Z","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 study the ability of a quantum channel to generate quantum coherence when it applies to incoherent states. Based on probabilistic averages, we define a measure of such coherence generating power (CGP) for a generic quantum channel, based on the average coherence generated by the quantum channel acting on a uniform ensemble of incoherent states. Explicit analytical formula of the CGP for any unitary channels are presented in terms of subentropy. An upper bound for CGP of unital quantum channels has been also derived. Detailed examples are investigated.","authors_text":"Lin Zhang, Shao-Ming Fei, Zhihao Ma, Zhihua Chen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-11-07T13:40:37Z","title":"Coherence generating power of unitary transformations via probabilistic average"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.02458","kind":"arxiv","version":2},"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":"sha256:98c57c574f641de06f22b934ee87c2af8d733fe2901a4f5c8c4b2c6a18ab8984","target":"record","created_at":"2026-05-18T00:13:21Z","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":"64370ecff5a9669eb0e17168a86568adc961ccef700926336a407abfe9a567e5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-11-07T13:40:37Z","title_canon_sha256":"6b6e56093b4a3a86f64ac2db7241144c8a31601f73bbedde6d2915028f4efab3"},"schema_version":"1.0","source":{"id":"1711.02458","kind":"arxiv","version":2}},"canonical_sha256":"0f65210e6fb0e2b3369e1b87a3432c804c484b09629da527542c8439e9544672","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f65210e6fb0e2b3369e1b87a3432c804c484b09629da527542c8439e9544672","first_computed_at":"2026-05-18T00:13:21.785078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:21.785078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DgeP33zO/GB1p51iYQSGrojT/fOXkZSazfYNfxHSBV1VS3097SvMxC9KurBaeYP1iKFoSMXXSo0/0J3DxhEXCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:21.785605Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.02458","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98c57c574f641de06f22b934ee87c2af8d733fe2901a4f5c8c4b2c6a18ab8984","sha256:61afe8995752b070603c43ad8c2909b790e00317d696e08ff62fc6e5d9e1ec51"],"state_sha256":"c3bafdd8c85ed73f33468748df1b8bc339bc41728fa21c4d644429d075703d52"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6z7yaA7q5zMnYBnS96FQ8/cYwCBwnaJGXsK2cAGVqjCz+XUmAQo3peyY/hXHsBocSyvmcrNOaZ42PIx7m+AlAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T01:35:02.450175Z","bundle_sha256":"2d24e4b313887a9f0b742524cd6a825c921961129e4d6fb146bc60a232f4cd0a"}}