{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GJAIDDGBYDICBYCUJHPA2QS7WR","short_pith_number":"pith:GJAIDDGB","canonical_record":{"source":{"id":"1503.00304","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-01T16:47:34Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"bc96542e63628451aacfd8745e9bda2456aca8f2b20a86a0683f4855c76942dc","abstract_canon_sha256":"6f943a4ee51b61ac62cdfe541a3d940389106dcc1b4c4e243be107aa1e99029c"},"schema_version":"1.0"},"canonical_sha256":"3240818cc1c0d020e05449de0d425fb457a9555deea758d257b2b1d210fc3bd8","source":{"kind":"arxiv","id":"1503.00304","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00304","created_at":"2026-05-18T01:33:32Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00304v4","created_at":"2026-05-18T01:33:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00304","created_at":"2026-05-18T01:33:32Z"},{"alias_kind":"pith_short_12","alias_value":"GJAIDDGBYDIC","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GJAIDDGBYDICBYCU","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GJAIDDGB","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GJAIDDGBYDICBYCUJHPA2QS7WR","target":"record","payload":{"canonical_record":{"source":{"id":"1503.00304","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-01T16:47:34Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"bc96542e63628451aacfd8745e9bda2456aca8f2b20a86a0683f4855c76942dc","abstract_canon_sha256":"6f943a4ee51b61ac62cdfe541a3d940389106dcc1b4c4e243be107aa1e99029c"},"schema_version":"1.0"},"canonical_sha256":"3240818cc1c0d020e05449de0d425fb457a9555deea758d257b2b1d210fc3bd8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:32.272970Z","signature_b64":"BRD0mZahvyXZsfNkYasOHUjx4xC5XhAqf4tExmqTwYkEX6l/C4/g6/9OryR2d7vUO7bzo/DsPBh9o6cTwkOnCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3240818cc1c0d020e05449de0d425fb457a9555deea758d257b2b1d210fc3bd8","last_reissued_at":"2026-05-18T01:33:32.272102Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:32.272102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.00304","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:33:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0nLRYA8yWjpGFSxwAmRYZGXktCtg7EXD3k3HDuUdrLKwyC7nRr3nSFxwWGzcejUn7UOuBNL+hSg6OR35uk/eDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:44:46.804572Z"},"content_sha256":"31f067e034980ad150c5608f0dc5529fcefcc73535bc479fb35a1dc17597bda6","schema_version":"1.0","event_id":"sha256:31f067e034980ad150c5608f0dc5529fcefcc73535bc479fb35a1dc17597bda6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GJAIDDGBYDICBYCUJHPA2QS7WR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some geometric interpretations of quantum fidelity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Jin Li, Rajesh Pereira, Sarah Plosker","submitted_at":"2015-03-01T16:47:34Z","abstract_excerpt":"We consider quantum fidelity between two states $\\rho$ and $\\sigma$, where we fix $\\rho$ and allow $\\sigma$ to be sent through a quantum channel. We determine the minimal fidelity where one minimizes over (a) all unital channels, (b) all mixed unitary channels, and (c) arbitrary channels. We derive results involving the minimal eigenvalue of $\\rho$, which we can interpret as a convex combination coefficient. As a consequence, we give a new geometric interpretation of the minimal fidelity with respect to the closed, convex set of density matrices and with respect to the closed, convex set of qu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00304","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:33:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nL1VHMl50RYFETzvi0ZeRDHQdb3+IxVDRXqDnTvyA2HaEz7FWo2lvNzh6updjg9mN00b2HApI/tJLm2lPATACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:44:46.805174Z"},"content_sha256":"1e7cb715f14740aa488dd9c3256c5abaed0c67f24c75d533e8344210bfad3670","schema_version":"1.0","event_id":"sha256:1e7cb715f14740aa488dd9c3256c5abaed0c67f24c75d533e8344210bfad3670"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GJAIDDGBYDICBYCUJHPA2QS7WR/bundle.json","state_url":"https://pith.science/pith/GJAIDDGBYDICBYCUJHPA2QS7WR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GJAIDDGBYDICBYCUJHPA2QS7WR/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":"2026-05-28T01:44:46Z","links":{"resolver":"https://pith.science/pith/GJAIDDGBYDICBYCUJHPA2QS7WR","bundle":"https://pith.science/pith/GJAIDDGBYDICBYCUJHPA2QS7WR/bundle.json","state":"https://pith.science/pith/GJAIDDGBYDICBYCUJHPA2QS7WR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GJAIDDGBYDICBYCUJHPA2QS7WR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GJAIDDGBYDICBYCUJHPA2QS7WR","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":"6f943a4ee51b61ac62cdfe541a3d940389106dcc1b4c4e243be107aa1e99029c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-01T16:47:34Z","title_canon_sha256":"bc96542e63628451aacfd8745e9bda2456aca8f2b20a86a0683f4855c76942dc"},"schema_version":"1.0","source":{"id":"1503.00304","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00304","created_at":"2026-05-18T01:33:32Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00304v4","created_at":"2026-05-18T01:33:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00304","created_at":"2026-05-18T01:33:32Z"},{"alias_kind":"pith_short_12","alias_value":"GJAIDDGBYDIC","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GJAIDDGBYDICBYCU","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GJAIDDGB","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:1e7cb715f14740aa488dd9c3256c5abaed0c67f24c75d533e8344210bfad3670","target":"graph","created_at":"2026-05-18T01:33:32Z","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 consider quantum fidelity between two states $\\rho$ and $\\sigma$, where we fix $\\rho$ and allow $\\sigma$ to be sent through a quantum channel. We determine the minimal fidelity where one minimizes over (a) all unital channels, (b) all mixed unitary channels, and (c) arbitrary channels. We derive results involving the minimal eigenvalue of $\\rho$, which we can interpret as a convex combination coefficient. As a consequence, we give a new geometric interpretation of the minimal fidelity with respect to the closed, convex set of density matrices and with respect to the closed, convex set of qu","authors_text":"Jin Li, Rajesh Pereira, Sarah Plosker","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-01T16:47:34Z","title":"Some geometric interpretations of quantum fidelity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00304","kind":"arxiv","version":4},"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":"sha256:31f067e034980ad150c5608f0dc5529fcefcc73535bc479fb35a1dc17597bda6","target":"record","created_at":"2026-05-18T01:33:32Z","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":"6f943a4ee51b61ac62cdfe541a3d940389106dcc1b4c4e243be107aa1e99029c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-01T16:47:34Z","title_canon_sha256":"bc96542e63628451aacfd8745e9bda2456aca8f2b20a86a0683f4855c76942dc"},"schema_version":"1.0","source":{"id":"1503.00304","kind":"arxiv","version":4}},"canonical_sha256":"3240818cc1c0d020e05449de0d425fb457a9555deea758d257b2b1d210fc3bd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3240818cc1c0d020e05449de0d425fb457a9555deea758d257b2b1d210fc3bd8","first_computed_at":"2026-05-18T01:33:32.272102Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:32.272102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BRD0mZahvyXZsfNkYasOHUjx4xC5XhAqf4tExmqTwYkEX6l/C4/g6/9OryR2d7vUO7bzo/DsPBh9o6cTwkOnCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:32.272970Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.00304","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31f067e034980ad150c5608f0dc5529fcefcc73535bc479fb35a1dc17597bda6","sha256:1e7cb715f14740aa488dd9c3256c5abaed0c67f24c75d533e8344210bfad3670"],"state_sha256":"155a455442e451d096b3e0f7f20c73957584071492fec175ced69a85d3ef201a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rLDL8GnmweDI0oPOGTEIETff9DUGdigqXZ5s9lC7N/fwl4DocmxQTfYPk6hG8suYXBDf51k2QeqY7uwp/GsMDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T01:44:46.808464Z","bundle_sha256":"558bfa8909412aea79f68fe6c4fae2a3a99a150138642612f8e5f5b8e09db2d3"}}