{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:Y6UP7ADPEQ5YVTN2YEJPQZA7GF","short_pith_number":"pith:Y6UP7ADP","canonical_record":{"source":{"id":"1208.6529","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-31T15:30:37Z","cross_cats_sorted":[],"title_canon_sha256":"2c7fa003f3066ed1b89b628dcbbd774f046707d5007498ebb786461afadec28d","abstract_canon_sha256":"7519461cb7d9213645006fa90defbd4551736612ee7010a8a566547c058b057e"},"schema_version":"1.0"},"canonical_sha256":"c7a8ff806f243b8acdbac112f8641f316c62c144935ace458f54e05c78026fbb","source":{"kind":"arxiv","id":"1208.6529","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.6529","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1208.6529v1","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.6529","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"Y6UP7ADPEQ5Y","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"Y6UP7ADPEQ5YVTN2","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"Y6UP7ADP","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:Y6UP7ADPEQ5YVTN2YEJPQZA7GF","target":"record","payload":{"canonical_record":{"source":{"id":"1208.6529","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-31T15:30:37Z","cross_cats_sorted":[],"title_canon_sha256":"2c7fa003f3066ed1b89b628dcbbd774f046707d5007498ebb786461afadec28d","abstract_canon_sha256":"7519461cb7d9213645006fa90defbd4551736612ee7010a8a566547c058b057e"},"schema_version":"1.0"},"canonical_sha256":"c7a8ff806f243b8acdbac112f8641f316c62c144935ace458f54e05c78026fbb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:32.724555Z","signature_b64":"0MSxUB5JLa4A06Yq/8KdUHloEDc5YFkfIWE+q8Nnkl6GCCsoWx0aI6s4EDvzWdqLSi8cIk8VAxBx5rpoNsUjBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7a8ff806f243b8acdbac112f8641f316c62c144935ace458f54e05c78026fbb","last_reissued_at":"2026-05-18T03:46:32.723770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:32.723770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.6529","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":"2026-05-18T03:46:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hjp6YShdhWEhCsIhplpprrgyuSsLUBi+GnKLNcodxzs5DkKy0tAqIX+TGLU+bBT7g9skXpNjiVa8ZcZt+NtBCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:07:48.985200Z"},"content_sha256":"7d5478e490ed89dc8ea4874d43ad6c8abdae879d58ea2af0ce98a8d1d9924e5c","schema_version":"1.0","event_id":"sha256:7d5478e490ed89dc8ea4874d43ad6c8abdae879d58ea2af0ce98a8d1d9924e5c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:Y6UP7ADPEQ5YVTN2YEJPQZA7GF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"1/2+1/2>1 for quantum error correction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"C.H. Oh, Heng Fan, Sixia Yu, Zhuo Wang","submitted_at":"2012-08-31T15:30:37Z","abstract_excerpt":"Quantum error correction assisted by entanglement helps to transmit the encoded qudits through quantum channels with some of them being noiseless. Here we consider a more realistic scheme for experiments what we called as partial-noisy quantum channels in which, instead of completely free of noise, only part of the qudit suffers no noise. In this scenario we show by an explicit example that two half-noisy channels work better than one noiseless channel, a queer phenomenon showing 1/2+1/2>1. Our example also saturates a unified quantum Singleton bound, valid for the standard and entanglement-as"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.6529","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":"2026-05-18T03:46:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ozqeq6nPsFYj4P6dxlR5qAuTF4W09WkLQc7uPL4dWjxjsGLLnUQH+SONT40fYgARiBWn2XcThQnirJTUzyfJBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:07:48.985775Z"},"content_sha256":"05433eef496dd9ee82da3236551b508e2f3a3a49b8fa7481eeee1c240f547ed3","schema_version":"1.0","event_id":"sha256:05433eef496dd9ee82da3236551b508e2f3a3a49b8fa7481eeee1c240f547ed3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y6UP7ADPEQ5YVTN2YEJPQZA7GF/bundle.json","state_url":"https://pith.science/pith/Y6UP7ADPEQ5YVTN2YEJPQZA7GF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y6UP7ADPEQ5YVTN2YEJPQZA7GF/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":"2026-05-31T23:07:48Z","links":{"resolver":"https://pith.science/pith/Y6UP7ADPEQ5YVTN2YEJPQZA7GF","bundle":"https://pith.science/pith/Y6UP7ADPEQ5YVTN2YEJPQZA7GF/bundle.json","state":"https://pith.science/pith/Y6UP7ADPEQ5YVTN2YEJPQZA7GF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y6UP7ADPEQ5YVTN2YEJPQZA7GF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Y6UP7ADPEQ5YVTN2YEJPQZA7GF","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":"7519461cb7d9213645006fa90defbd4551736612ee7010a8a566547c058b057e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-31T15:30:37Z","title_canon_sha256":"2c7fa003f3066ed1b89b628dcbbd774f046707d5007498ebb786461afadec28d"},"schema_version":"1.0","source":{"id":"1208.6529","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.6529","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1208.6529v1","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.6529","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"Y6UP7ADPEQ5Y","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"Y6UP7ADPEQ5YVTN2","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"Y6UP7ADP","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:05433eef496dd9ee82da3236551b508e2f3a3a49b8fa7481eeee1c240f547ed3","target":"graph","created_at":"2026-05-18T03:46:32Z","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":"Quantum error correction assisted by entanglement helps to transmit the encoded qudits through quantum channels with some of them being noiseless. Here we consider a more realistic scheme for experiments what we called as partial-noisy quantum channels in which, instead of completely free of noise, only part of the qudit suffers no noise. In this scenario we show by an explicit example that two half-noisy channels work better than one noiseless channel, a queer phenomenon showing 1/2+1/2>1. Our example also saturates a unified quantum Singleton bound, valid for the standard and entanglement-as","authors_text":"C.H. Oh, Heng Fan, Sixia Yu, Zhuo Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-31T15:30:37Z","title":"1/2+1/2>1 for quantum error correction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.6529","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":"sha256:7d5478e490ed89dc8ea4874d43ad6c8abdae879d58ea2af0ce98a8d1d9924e5c","target":"record","created_at":"2026-05-18T03:46:32Z","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":"7519461cb7d9213645006fa90defbd4551736612ee7010a8a566547c058b057e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-31T15:30:37Z","title_canon_sha256":"2c7fa003f3066ed1b89b628dcbbd774f046707d5007498ebb786461afadec28d"},"schema_version":"1.0","source":{"id":"1208.6529","kind":"arxiv","version":1}},"canonical_sha256":"c7a8ff806f243b8acdbac112f8641f316c62c144935ace458f54e05c78026fbb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7a8ff806f243b8acdbac112f8641f316c62c144935ace458f54e05c78026fbb","first_computed_at":"2026-05-18T03:46:32.723770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:32.723770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0MSxUB5JLa4A06Yq/8KdUHloEDc5YFkfIWE+q8Nnkl6GCCsoWx0aI6s4EDvzWdqLSi8cIk8VAxBx5rpoNsUjBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:32.724555Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.6529","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d5478e490ed89dc8ea4874d43ad6c8abdae879d58ea2af0ce98a8d1d9924e5c","sha256:05433eef496dd9ee82da3236551b508e2f3a3a49b8fa7481eeee1c240f547ed3"],"state_sha256":"b5839fe3f1037c54d044fe6fdea95e0cc24e7fee83cc5690f952225fe6970e23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LU5C3LhKKSZ4mghzW1SAVMVPJU3lreemQKOQCom/595lvkSVF4EVq4IolW7hfo6nEBCghZ6wu5pHNFBsu4BQDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T23:07:48.992341Z","bundle_sha256":"6d3871e4ba7f4fd0cc4568c6252a7e51082d655529c95234e55d176b29cf42ba"}}