{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:DAZFBN5WHYU4OKL7ZUTNWWX2LX","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":"e1f82c935388de0f126ca817db0c310ec284d078f476e80c9ba365cacc8a5595","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-01T17:47:59Z","title_canon_sha256":"f593a6a1d0fdac8edef741cc0de6c22cb1300e3462abaccf76fa7c0a439700bf"},"schema_version":"1.0","source":{"id":"1109.0242","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0242","created_at":"2026-05-18T02:00:43Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0242v1","created_at":"2026-05-18T02:00:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0242","created_at":"2026-05-18T02:00:43Z"},{"alias_kind":"pith_short_12","alias_value":"DAZFBN5WHYU4","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DAZFBN5WHYU4OKL7","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DAZFBN5W","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:276bf48b10dd904c09eca079f296a1008f33f97e3dbdd648de7b5797276de637","target":"graph","created_at":"2026-05-18T02:00:43Z","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 introduce a non-Markovianity measure for continuous variable open quantum systems based on the idea put forward in H.-P. Breuer et al., Phys. Rev. Lett.\\textbf{103}, 210401 (2009), i.e., by quantifying the flow of information from the environment back to the open system. Instead of the trace distance we use here the fidelity to assess distinguishability of quantum states. We employ our measure to evaluate non-Markovianity of two paradigmatic Gaussian channels: the purely damping channel and the quantum Brownian motion channel with Ohmic environment. We consider different classes of Gaussian","authors_text":"Heinz-Peter Breuer, Jyrki Piilo, Matteo G. A. Paris, Ruggero Vasile, Sabrina Maniscalco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-01T17:47:59Z","title":"Quantifying non-Markovianity of continuous variable Gaussian dynamical maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0242","kind":"arxiv","version":1},"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":"sha256:0bc19f2e5e34a3bde0e1052f47e184f1c15b13d158e819b8ef7027e52eaf5e17","target":"record","created_at":"2026-05-18T02:00:43Z","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":"e1f82c935388de0f126ca817db0c310ec284d078f476e80c9ba365cacc8a5595","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-01T17:47:59Z","title_canon_sha256":"f593a6a1d0fdac8edef741cc0de6c22cb1300e3462abaccf76fa7c0a439700bf"},"schema_version":"1.0","source":{"id":"1109.0242","kind":"arxiv","version":1}},"canonical_sha256":"183250b7b63e29c7297fcd26db5afa5dcb92bd6e6340cb4d92b8ec1568276d92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"183250b7b63e29c7297fcd26db5afa5dcb92bd6e6340cb4d92b8ec1568276d92","first_computed_at":"2026-05-18T02:00:43.158130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:43.158130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"420XTFREMXi+c2JnY4daFghXORGrrnuqYm+fLM6gRBvMnnZiU9s6zDd+1oxdV5uzZDybMuLOghUuCDzZT4U1CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:43.158851Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.0242","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0bc19f2e5e34a3bde0e1052f47e184f1c15b13d158e819b8ef7027e52eaf5e17","sha256:276bf48b10dd904c09eca079f296a1008f33f97e3dbdd648de7b5797276de637"],"state_sha256":"f3de2de25e4a77406bf6ad9ae37f8a678b1412ee714b29edce2a3e24b512636c"}