{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:LWILEW6QOGU2CH5CGUENZESQ6J","short_pith_number":"pith:LWILEW6Q","canonical_record":{"source":{"id":"quant-ph/0204069","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-04-12T13:37:58Z","cross_cats_sorted":[],"title_canon_sha256":"c296d3559a6779c5d582941b0abea09d08c6e00182d642e9696b3f38cffd4c6a","abstract_canon_sha256":"6851f2535c027657bc69cec29fb01c1786fa84bab11a073632e32a8349819e02"},"schema_version":"1.0"},"canonical_sha256":"5d90b25bd071a9a11fa23508dc9250f275bf0d0f6273bd194b19ec52cc394415","source":{"kind":"arxiv","id":"quant-ph/0204069","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0204069","created_at":"2026-07-04T16:36:02Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0204069v2","created_at":"2026-07-04T16:36:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0204069","created_at":"2026-07-04T16:36:02Z"},{"alias_kind":"pith_short_12","alias_value":"LWILEW6QOGU2","created_at":"2026-07-04T16:36:02Z"},{"alias_kind":"pith_short_16","alias_value":"LWILEW6QOGU2CH5C","created_at":"2026-07-04T16:36:02Z"},{"alias_kind":"pith_short_8","alias_value":"LWILEW6Q","created_at":"2026-07-04T16:36:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:LWILEW6QOGU2CH5CGUENZESQ6J","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0204069","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-04-12T13:37:58Z","cross_cats_sorted":[],"title_canon_sha256":"c296d3559a6779c5d582941b0abea09d08c6e00182d642e9696b3f38cffd4c6a","abstract_canon_sha256":"6851f2535c027657bc69cec29fb01c1786fa84bab11a073632e32a8349819e02"},"schema_version":"1.0"},"canonical_sha256":"5d90b25bd071a9a11fa23508dc9250f275bf0d0f6273bd194b19ec52cc394415","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:36:02.371789Z","signature_b64":"c0ek9Ywk68QoR8CDLW5sP6RRmRltVgJcOdkUaVsnVC9J+97k+6a/QE0eA1WmN8XRTWhZUs/kHbvJKawzv7lLDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d90b25bd071a9a11fa23508dc9250f275bf0d0f6273bd194b19ec52cc394415","last_reissued_at":"2026-07-04T16:36:02.371445Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:36:02.371445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0204069","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":"2026-07-04T16:36:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sp8dXS26DAASjftjYwOwK4wIR5IL1MczKLNv37oG/W+2EA7rIAR27ifOYLMur7z47eagZXmHn5ZYXA4eZV8eDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T01:59:43.423140Z"},"content_sha256":"eade97ed902dd0227d414b02df35ca093492dff700aef57bbf50b88939328051","schema_version":"1.0","event_id":"sha256:eade97ed902dd0227d414b02df35ca093492dff700aef57bbf50b88939328051"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:LWILEW6QOGU2CH5CGUENZESQ6J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gaussian transformations and distillation of entangled Gaussian states","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jaromir Fiurasek","submitted_at":"2002-04-12T13:37:58Z","abstract_excerpt":"We prove that it is impossible to distill more entanglement from a single copy of a two-mode bipartite entangled Gaussian state via LOCC Gaussian operations. More generally, we show that any hypothetical distillation protocol for Gaussian states involving only Gaussian operations would be a deterministic protocol. Finally, we argue that the protocol considered by Eisert et al. [quant-ph/0204052] is the optimum Gaussian distillation protocol for two copies of entangled Gaussian states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0204069","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0204069/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:36:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x/i26nKh+YsmhiAOanmRgdCTNsCEUTfI794ttCC/urnYGDT6fkllALfFYUMifimB2iCZU1jxfaB4VZrd6MKHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T01:59:43.424552Z"},"content_sha256":"e41e808193a483539e12d154523bd7461f49a335df08d02e4d60cb340d64c5fd","schema_version":"1.0","event_id":"sha256:e41e808193a483539e12d154523bd7461f49a335df08d02e4d60cb340d64c5fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LWILEW6QOGU2CH5CGUENZESQ6J/bundle.json","state_url":"https://pith.science/pith/LWILEW6QOGU2CH5CGUENZESQ6J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LWILEW6QOGU2CH5CGUENZESQ6J/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":"2026-08-03T01:59:43Z","links":{"resolver":"https://pith.science/pith/LWILEW6QOGU2CH5CGUENZESQ6J","bundle":"https://pith.science/pith/LWILEW6QOGU2CH5CGUENZESQ6J/bundle.json","state":"https://pith.science/pith/LWILEW6QOGU2CH5CGUENZESQ6J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LWILEW6QOGU2CH5CGUENZESQ6J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:LWILEW6QOGU2CH5CGUENZESQ6J","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":"6851f2535c027657bc69cec29fb01c1786fa84bab11a073632e32a8349819e02","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-04-12T13:37:58Z","title_canon_sha256":"c296d3559a6779c5d582941b0abea09d08c6e00182d642e9696b3f38cffd4c6a"},"schema_version":"1.0","source":{"id":"quant-ph/0204069","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0204069","created_at":"2026-07-04T16:36:02Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0204069v2","created_at":"2026-07-04T16:36:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0204069","created_at":"2026-07-04T16:36:02Z"},{"alias_kind":"pith_short_12","alias_value":"LWILEW6QOGU2","created_at":"2026-07-04T16:36:02Z"},{"alias_kind":"pith_short_16","alias_value":"LWILEW6QOGU2CH5C","created_at":"2026-07-04T16:36:02Z"},{"alias_kind":"pith_short_8","alias_value":"LWILEW6Q","created_at":"2026-07-04T16:36:02Z"}],"graph_snapshots":[{"event_id":"sha256:e41e808193a483539e12d154523bd7461f49a335df08d02e4d60cb340d64c5fd","target":"graph","created_at":"2026-07-04T16:36:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/0204069/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that it is impossible to distill more entanglement from a single copy of a two-mode bipartite entangled Gaussian state via LOCC Gaussian operations. More generally, we show that any hypothetical distillation protocol for Gaussian states involving only Gaussian operations would be a deterministic protocol. Finally, we argue that the protocol considered by Eisert et al. [quant-ph/0204052] is the optimum Gaussian distillation protocol for two copies of entangled Gaussian states.","authors_text":"Jaromir Fiurasek","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2002-04-12T13:37:58Z","title":"Gaussian transformations and distillation of entangled Gaussian states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0204069","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:eade97ed902dd0227d414b02df35ca093492dff700aef57bbf50b88939328051","target":"record","created_at":"2026-07-04T16:36:02Z","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":"6851f2535c027657bc69cec29fb01c1786fa84bab11a073632e32a8349819e02","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-04-12T13:37:58Z","title_canon_sha256":"c296d3559a6779c5d582941b0abea09d08c6e00182d642e9696b3f38cffd4c6a"},"schema_version":"1.0","source":{"id":"quant-ph/0204069","kind":"arxiv","version":2}},"canonical_sha256":"5d90b25bd071a9a11fa23508dc9250f275bf0d0f6273bd194b19ec52cc394415","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d90b25bd071a9a11fa23508dc9250f275bf0d0f6273bd194b19ec52cc394415","first_computed_at":"2026-07-04T16:36:02.371445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:36:02.371445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c0ek9Ywk68QoR8CDLW5sP6RRmRltVgJcOdkUaVsnVC9J+97k+6a/QE0eA1WmN8XRTWhZUs/kHbvJKawzv7lLDA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:36:02.371789Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0204069","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eade97ed902dd0227d414b02df35ca093492dff700aef57bbf50b88939328051","sha256:e41e808193a483539e12d154523bd7461f49a335df08d02e4d60cb340d64c5fd"],"state_sha256":"6ced1244bd73d3a760682fa7bbd0c00c6d6203dbdac8bfd193e14b1443bf4349"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hYoVTSnH1Sh8rE1uCYL4p2edG8EdQ+ldAr+Wad2fXrlQmKy4YP/jh4OmqHILSwld73m2p/JpOrVbPR49psxVBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T01:59:43.467213Z","bundle_sha256":"c0b30316f5b3db6e5598398f18e3e2335899137e8cfc02581f38932eaab4999e"}}