{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:PB5JAAMJJ2XYUIMH4PLQIIK7LG","short_pith_number":"pith:PB5JAAMJ","canonical_record":{"source":{"id":"quant-ph/0610048","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-10-09T17:36:42Z","cross_cats_sorted":[],"title_canon_sha256":"db2227c94410ba198f2ecff2231549cdf7986393e28dfb1486ac48b1be26aa1f","abstract_canon_sha256":"b909faeed5e5c692ae9cb52005daf6ad9b6fe0bf5ff0a11a803ba314aa4f88c4"},"schema_version":"1.0"},"canonical_sha256":"787a9001894eaf8a2187e3d704215f59a8f9015a9d769837cde4604dfb61d98e","source":{"kind":"arxiv","id":"quant-ph/0610048","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0610048","created_at":"2026-05-18T04:40:33Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0610048v1","created_at":"2026-05-18T04:40:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0610048","created_at":"2026-05-18T04:40:33Z"},{"alias_kind":"pith_short_12","alias_value":"PB5JAAMJJ2XY","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"PB5JAAMJJ2XYUIMH","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"PB5JAAMJ","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:PB5JAAMJJ2XYUIMH4PLQIIK7LG","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0610048","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-10-09T17:36:42Z","cross_cats_sorted":[],"title_canon_sha256":"db2227c94410ba198f2ecff2231549cdf7986393e28dfb1486ac48b1be26aa1f","abstract_canon_sha256":"b909faeed5e5c692ae9cb52005daf6ad9b6fe0bf5ff0a11a803ba314aa4f88c4"},"schema_version":"1.0"},"canonical_sha256":"787a9001894eaf8a2187e3d704215f59a8f9015a9d769837cde4604dfb61d98e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:33.001003Z","signature_b64":"rcX/eDpAJGa9ddz7uuLEPyTog1FlD5NtKYmNYYjmMLZs3lpIJMcRCit+9RD+zZqqeJvgUXeQ4ZxS5HlNiEzDAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"787a9001894eaf8a2187e3d704215f59a8f9015a9d769837cde4604dfb61d98e","last_reissued_at":"2026-05-18T04:40:33.000434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:33.000434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0610048","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:40:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0eozXLTBJpKMSkMdVluV3VT0ayLH3Q/KlP4lA4Q4U3NRLCtJNwF6zb8/Ahl3EoqO8mdkwbWf6AGPp163e+NlDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:58:32.068260Z"},"content_sha256":"90ba648ce58c7f900ab4652db02f67f82c418f158bb002b4748384d61ab4dd08","schema_version":"1.0","event_id":"sha256:90ba648ce58c7f900ab4652db02f67f82c418f158bb002b4748384d61ab4dd08"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:PB5JAAMJJ2XYUIMH4PLQIIK7LG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Key distillation from quantum channels using two-way communication protocols","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Antonio Acin, Joonwoo Bae","submitted_at":"2006-10-09T17:36:42Z","abstract_excerpt":"We provide a general formalism to characterize the cryptographic properties of quantum channels in the realistic scenario where the two honest parties employ prepare and measure protocols and the known two-way communication reconciliation techniques. We obtain a necessary and sufficient condition to distill a secret key using this type of schemes for Pauli qubit channels and generalized Pauli channels in higher dimension. Our results can be applied to standard protocols such as BB84 or six-state, giving a critical error rate of 20% and 27.6%, respectively. We explore several possibilities to e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0610048","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:40:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ETFEeiGCOgF/Mhep2pp67QG21Pmdg4Y3IpcuhPWhxqinFqU+K11Z8nGd6zHbHsvYsjkcI9citlMnl4AINMIDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:58:32.068895Z"},"content_sha256":"e279b4305449bf0018b7357d243250b68763384e504b5b1e462c5c8359c8fb09","schema_version":"1.0","event_id":"sha256:e279b4305449bf0018b7357d243250b68763384e504b5b1e462c5c8359c8fb09"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PB5JAAMJJ2XYUIMH4PLQIIK7LG/bundle.json","state_url":"https://pith.science/pith/PB5JAAMJJ2XYUIMH4PLQIIK7LG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PB5JAAMJJ2XYUIMH4PLQIIK7LG/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":"2026-06-08T18:58:32Z","links":{"resolver":"https://pith.science/pith/PB5JAAMJJ2XYUIMH4PLQIIK7LG","bundle":"https://pith.science/pith/PB5JAAMJJ2XYUIMH4PLQIIK7LG/bundle.json","state":"https://pith.science/pith/PB5JAAMJJ2XYUIMH4PLQIIK7LG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PB5JAAMJJ2XYUIMH4PLQIIK7LG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:PB5JAAMJJ2XYUIMH4PLQIIK7LG","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":"b909faeed5e5c692ae9cb52005daf6ad9b6fe0bf5ff0a11a803ba314aa4f88c4","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-10-09T17:36:42Z","title_canon_sha256":"db2227c94410ba198f2ecff2231549cdf7986393e28dfb1486ac48b1be26aa1f"},"schema_version":"1.0","source":{"id":"quant-ph/0610048","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0610048","created_at":"2026-05-18T04:40:33Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0610048v1","created_at":"2026-05-18T04:40:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0610048","created_at":"2026-05-18T04:40:33Z"},{"alias_kind":"pith_short_12","alias_value":"PB5JAAMJJ2XY","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"PB5JAAMJJ2XYUIMH","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"PB5JAAMJ","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:e279b4305449bf0018b7357d243250b68763384e504b5b1e462c5c8359c8fb09","target":"graph","created_at":"2026-05-18T04:40:33Z","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 provide a general formalism to characterize the cryptographic properties of quantum channels in the realistic scenario where the two honest parties employ prepare and measure protocols and the known two-way communication reconciliation techniques. We obtain a necessary and sufficient condition to distill a secret key using this type of schemes for Pauli qubit channels and generalized Pauli channels in higher dimension. Our results can be applied to standard protocols such as BB84 or six-state, giving a critical error rate of 20% and 27.6%, respectively. We explore several possibilities to e","authors_text":"Antonio Acin, Joonwoo Bae","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-10-09T17:36:42Z","title":"Key distillation from quantum channels using two-way communication protocols"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0610048","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":"sha256:90ba648ce58c7f900ab4652db02f67f82c418f158bb002b4748384d61ab4dd08","target":"record","created_at":"2026-05-18T04:40:33Z","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":"b909faeed5e5c692ae9cb52005daf6ad9b6fe0bf5ff0a11a803ba314aa4f88c4","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-10-09T17:36:42Z","title_canon_sha256":"db2227c94410ba198f2ecff2231549cdf7986393e28dfb1486ac48b1be26aa1f"},"schema_version":"1.0","source":{"id":"quant-ph/0610048","kind":"arxiv","version":1}},"canonical_sha256":"787a9001894eaf8a2187e3d704215f59a8f9015a9d769837cde4604dfb61d98e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"787a9001894eaf8a2187e3d704215f59a8f9015a9d769837cde4604dfb61d98e","first_computed_at":"2026-05-18T04:40:33.000434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:33.000434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rcX/eDpAJGa9ddz7uuLEPyTog1FlD5NtKYmNYYjmMLZs3lpIJMcRCit+9RD+zZqqeJvgUXeQ4ZxS5HlNiEzDAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:33.001003Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0610048","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90ba648ce58c7f900ab4652db02f67f82c418f158bb002b4748384d61ab4dd08","sha256:e279b4305449bf0018b7357d243250b68763384e504b5b1e462c5c8359c8fb09"],"state_sha256":"ed802b9cab42013787b35a1ece20869954c61b414612213d0d6ba18e06be85d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ONrXTosPBkGWP3MoYqAw8LyOk2rQgmaCy6jP2HRq2Ezdiv7g/TXFNhOoqKC4AGSo1F8dpLpILShbVAa9EkmdCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T18:58:32.072605Z","bundle_sha256":"22bfed938f59b26cc138b23bf34412c6beda6d86e46ff3109ceca2b1a75af6b5"}}