{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:BDXLRHM5YYF3TVLSAWMLNLUVPD","short_pith_number":"pith:BDXLRHM5","canonical_record":{"source":{"id":"1208.2111","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-10T08:23:54Z","cross_cats_sorted":[],"title_canon_sha256":"42dde95cb47f08f8a34f41ee22d2a6c7b28c141d3e2965df2b3a506400685e58","abstract_canon_sha256":"7f8aaae1e4732e5da4f9fd37c8699dc1a46adc637e7f6f6d7c12290e2d0820a7"},"schema_version":"1.0"},"canonical_sha256":"08eeb89d9dc60bb9d5720598b6ae9578f91e20edf65140856eb8a8f890f2aaf0","source":{"kind":"arxiv","id":"1208.2111","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.2111","created_at":"2026-05-18T03:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"1208.2111v2","created_at":"2026-05-18T03:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.2111","created_at":"2026-05-18T03:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"BDXLRHM5YYF3","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"BDXLRHM5YYF3TVLS","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"BDXLRHM5","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:BDXLRHM5YYF3TVLSAWMLNLUVPD","target":"record","payload":{"canonical_record":{"source":{"id":"1208.2111","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-10T08:23:54Z","cross_cats_sorted":[],"title_canon_sha256":"42dde95cb47f08f8a34f41ee22d2a6c7b28c141d3e2965df2b3a506400685e58","abstract_canon_sha256":"7f8aaae1e4732e5da4f9fd37c8699dc1a46adc637e7f6f6d7c12290e2d0820a7"},"schema_version":"1.0"},"canonical_sha256":"08eeb89d9dc60bb9d5720598b6ae9578f91e20edf65140856eb8a8f890f2aaf0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:02.676791Z","signature_b64":"iQUNEVVGLM9AXCEqLVq2xQ1dZ/b2CqDC0PXpORj+BO4egrZB1adc4JMOaRFgTqz97MuOHYLHNLKHzvfeowIHDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08eeb89d9dc60bb9d5720598b6ae9578f91e20edf65140856eb8a8f890f2aaf0","last_reissued_at":"2026-05-18T03:38:02.676216Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:02.676216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.2111","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":"2026-05-18T03:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SeBvL4K2tkc8vTv1SeRZ8lr3iwj+LkmUtiUBIkK3ej8y/HeK24UUmqyOXWOrxy9wILkSjjpBgXe444QxrlmlCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T19:44:31.569162Z"},"content_sha256":"7710b706b439072a3ad4778661b3a6d806cd1c6d504e0f9227104e2a7edbb409","schema_version":"1.0","event_id":"sha256:7710b706b439072a3ad4778661b3a6d806cd1c6d504e0f9227104e2a7edbb409"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:BDXLRHM5YYF3TVLSAWMLNLUVPD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Procedures for realizing an approximate universal NOT gate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hyunseok Jeong, Jeongho Bang, Jinhyoung Lee, Seung-Woo Lee","submitted_at":"2012-08-10T08:23:54Z","abstract_excerpt":"We consider procedures to realize an approximate universal NOT gate in terms of average fidelity and fidelity deviation. The average fidelity indicates the optimality of operation on average, while the fidelity deviation does the universality of operation. We show that one-qubit operations have a sharp trade-off relation between average fidelity and fidelity deviation, and two-qubit operations show a looser trade-off relation. The genuine universality holds for operations of more than two qubits, and those of even more qubits are beneficial to compensating imperfection of control. In addition,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2111","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":""},"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":"2026-05-18T03:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t4pinwwU7uHxpQC1brdHwouDKvs15h7Q+Qj4nBrFmSy3DJwITPwT4adv4sHwSmRJL6MYTYpinfqbO+/LWdFZCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T19:44:31.569770Z"},"content_sha256":"972a639c9c83a40f58d68ee5f75052de786bbd1d13a5daf539a7bb1b56fc111a","schema_version":"1.0","event_id":"sha256:972a639c9c83a40f58d68ee5f75052de786bbd1d13a5daf539a7bb1b56fc111a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BDXLRHM5YYF3TVLSAWMLNLUVPD/bundle.json","state_url":"https://pith.science/pith/BDXLRHM5YYF3TVLSAWMLNLUVPD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BDXLRHM5YYF3TVLSAWMLNLUVPD/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":"2026-05-24T19:44:31Z","links":{"resolver":"https://pith.science/pith/BDXLRHM5YYF3TVLSAWMLNLUVPD","bundle":"https://pith.science/pith/BDXLRHM5YYF3TVLSAWMLNLUVPD/bundle.json","state":"https://pith.science/pith/BDXLRHM5YYF3TVLSAWMLNLUVPD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BDXLRHM5YYF3TVLSAWMLNLUVPD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BDXLRHM5YYF3TVLSAWMLNLUVPD","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":"7f8aaae1e4732e5da4f9fd37c8699dc1a46adc637e7f6f6d7c12290e2d0820a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-10T08:23:54Z","title_canon_sha256":"42dde95cb47f08f8a34f41ee22d2a6c7b28c141d3e2965df2b3a506400685e58"},"schema_version":"1.0","source":{"id":"1208.2111","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.2111","created_at":"2026-05-18T03:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"1208.2111v2","created_at":"2026-05-18T03:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.2111","created_at":"2026-05-18T03:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"BDXLRHM5YYF3","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"BDXLRHM5YYF3TVLS","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"BDXLRHM5","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:972a639c9c83a40f58d68ee5f75052de786bbd1d13a5daf539a7bb1b56fc111a","target":"graph","created_at":"2026-05-18T03:38:02Z","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"},"paper":{"abstract_excerpt":"We consider procedures to realize an approximate universal NOT gate in terms of average fidelity and fidelity deviation. The average fidelity indicates the optimality of operation on average, while the fidelity deviation does the universality of operation. We show that one-qubit operations have a sharp trade-off relation between average fidelity and fidelity deviation, and two-qubit operations show a looser trade-off relation. The genuine universality holds for operations of more than two qubits, and those of even more qubits are beneficial to compensating imperfection of control. In addition,","authors_text":"Hyunseok Jeong, Jeongho Bang, Jinhyoung Lee, Seung-Woo Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-10T08:23:54Z","title":"Procedures for realizing an approximate universal NOT gate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2111","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":"sha256:7710b706b439072a3ad4778661b3a6d806cd1c6d504e0f9227104e2a7edbb409","target":"record","created_at":"2026-05-18T03:38:02Z","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":"7f8aaae1e4732e5da4f9fd37c8699dc1a46adc637e7f6f6d7c12290e2d0820a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-10T08:23:54Z","title_canon_sha256":"42dde95cb47f08f8a34f41ee22d2a6c7b28c141d3e2965df2b3a506400685e58"},"schema_version":"1.0","source":{"id":"1208.2111","kind":"arxiv","version":2}},"canonical_sha256":"08eeb89d9dc60bb9d5720598b6ae9578f91e20edf65140856eb8a8f890f2aaf0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08eeb89d9dc60bb9d5720598b6ae9578f91e20edf65140856eb8a8f890f2aaf0","first_computed_at":"2026-05-18T03:38:02.676216Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:02.676216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iQUNEVVGLM9AXCEqLVq2xQ1dZ/b2CqDC0PXpORj+BO4egrZB1adc4JMOaRFgTqz97MuOHYLHNLKHzvfeowIHDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:02.676791Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.2111","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7710b706b439072a3ad4778661b3a6d806cd1c6d504e0f9227104e2a7edbb409","sha256:972a639c9c83a40f58d68ee5f75052de786bbd1d13a5daf539a7bb1b56fc111a"],"state_sha256":"832c8e3e5c6a97481e83d29f1582c47dc3e2b7f2f8c99f3ef0307587cc28648e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i0jUEDNBL7QhxrcAr1SONGNmbLGL9cts8cLDzac6x1r5ZDhrwrXB24q5BnPPVHNndWomxmtqBDGLumGsqGnZAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T19:44:31.573028Z","bundle_sha256":"c309df09b771e6ccf9a4d26fe34236415c9ea76662376217b82d065002dc1781"}}