{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:RORELF62CKYA5HYNCMABL7IG6H","short_pith_number":"pith:RORELF62","canonical_record":{"source":{"id":"1804.10297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-26T22:22:05Z","cross_cats_sorted":[],"title_canon_sha256":"7cdac1822053313483b9756603e014f3e2ab224841f8ab1f14b9d2f5d53915b5","abstract_canon_sha256":"45bfe2fa3fd2725c130672e0fdaf767d73af0fb43af46130a4db018b47fac6ee"},"schema_version":"1.0"},"canonical_sha256":"8ba24597da12b00e9f0d130015fd06f1f904f940c0bb0eb17a5e0dd074880b5c","source":{"kind":"arxiv","id":"1804.10297","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10297","created_at":"2026-05-18T00:17:21Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10297v1","created_at":"2026-05-18T00:17:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10297","created_at":"2026-05-18T00:17:21Z"},{"alias_kind":"pith_short_12","alias_value":"RORELF62CKYA","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RORELF62CKYA5HYN","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RORELF62","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:RORELF62CKYA5HYNCMABL7IG6H","target":"record","payload":{"canonical_record":{"source":{"id":"1804.10297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-26T22:22:05Z","cross_cats_sorted":[],"title_canon_sha256":"7cdac1822053313483b9756603e014f3e2ab224841f8ab1f14b9d2f5d53915b5","abstract_canon_sha256":"45bfe2fa3fd2725c130672e0fdaf767d73af0fb43af46130a4db018b47fac6ee"},"schema_version":"1.0"},"canonical_sha256":"8ba24597da12b00e9f0d130015fd06f1f904f940c0bb0eb17a5e0dd074880b5c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:21.210146Z","signature_b64":"YbQVeLmaluE0/3xDnCC9nY/WhylPAC9jgfpceP1mpSuw2J+jW2B4xMdGaIFy44qnngQEH9wRpGkJZP8IelY5DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ba24597da12b00e9f0d130015fd06f1f904f940c0bb0eb17a5e0dd074880b5c","last_reissued_at":"2026-05-18T00:17:21.209464Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:21.209464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.10297","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":"2026-05-18T00:17:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JWkj4v9yrnqc9USn/biuGSvWWwD/TwoOdxIYJ2kaD9jCdzrWtOpIwh0zBjQp3u1HUngQosoQQRzdiCWW4NRZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:24:31.572821Z"},"content_sha256":"333a827fb15eb80d654d72d4197cc12766fc845aea466a01190c373be995e03c","schema_version":"1.0","event_id":"sha256:333a827fb15eb80d654d72d4197cc12766fc845aea466a01190c373be995e03c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:RORELF62CKYA5HYNCMABL7IG6H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Channel fidelities for high-fidelity approach in KLM scheme","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Kazuto Oshima","submitted_at":"2018-04-26T22:22:05Z","abstract_excerpt":"We study channel fidelity for the high-fidelity approach in the Knill-Laflamme-Milburn (KLM) scheme. We examine an optimal channel fidelity $f_{opt}$ and identify the corresponding KLM ancilla state. In the limit of large $n$, where $2n$ is the number of the ancilla qubits, we find $f_{opt}=1-{\\pi^{2} \\over 6n^{2}}+{2\\pi^{2} \\over 9n^{3}}$. We see that as $n$ increases $f_{opt}$ approaches to 1 slightly faster than $f=1-{2 \\over n^{2}}$ which is the channel fidelity computed by Franson et. al. in the limit of large $n$. We also compute the channel fidelity for the ancilla state that gives a lo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10297","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":"2026-05-18T00:17:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fmp5gIPZgFoi5YpK2RNxWwUtmQdXG1ooYuCLMou+QKgpl3wQ70oxoc+PNPWfe732fWkSURhTWBPGb8HCK436Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:24:31.573582Z"},"content_sha256":"6876d44b73c20b0940ffa88c723fbd94dedbb5983fa4a73c759fa5549cdf2863","schema_version":"1.0","event_id":"sha256:6876d44b73c20b0940ffa88c723fbd94dedbb5983fa4a73c759fa5549cdf2863"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RORELF62CKYA5HYNCMABL7IG6H/bundle.json","state_url":"https://pith.science/pith/RORELF62CKYA5HYNCMABL7IG6H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RORELF62CKYA5HYNCMABL7IG6H/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":"2026-05-28T10:24:31Z","links":{"resolver":"https://pith.science/pith/RORELF62CKYA5HYNCMABL7IG6H","bundle":"https://pith.science/pith/RORELF62CKYA5HYNCMABL7IG6H/bundle.json","state":"https://pith.science/pith/RORELF62CKYA5HYNCMABL7IG6H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RORELF62CKYA5HYNCMABL7IG6H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RORELF62CKYA5HYNCMABL7IG6H","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":"45bfe2fa3fd2725c130672e0fdaf767d73af0fb43af46130a4db018b47fac6ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-26T22:22:05Z","title_canon_sha256":"7cdac1822053313483b9756603e014f3e2ab224841f8ab1f14b9d2f5d53915b5"},"schema_version":"1.0","source":{"id":"1804.10297","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10297","created_at":"2026-05-18T00:17:21Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10297v1","created_at":"2026-05-18T00:17:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10297","created_at":"2026-05-18T00:17:21Z"},{"alias_kind":"pith_short_12","alias_value":"RORELF62CKYA","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RORELF62CKYA5HYN","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RORELF62","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:6876d44b73c20b0940ffa88c723fbd94dedbb5983fa4a73c759fa5549cdf2863","target":"graph","created_at":"2026-05-18T00:17:21Z","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 study channel fidelity for the high-fidelity approach in the Knill-Laflamme-Milburn (KLM) scheme. We examine an optimal channel fidelity $f_{opt}$ and identify the corresponding KLM ancilla state. In the limit of large $n$, where $2n$ is the number of the ancilla qubits, we find $f_{opt}=1-{\\pi^{2} \\over 6n^{2}}+{2\\pi^{2} \\over 9n^{3}}$. We see that as $n$ increases $f_{opt}$ approaches to 1 slightly faster than $f=1-{2 \\over n^{2}}$ which is the channel fidelity computed by Franson et. al. in the limit of large $n$. We also compute the channel fidelity for the ancilla state that gives a lo","authors_text":"Kazuto Oshima","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-26T22:22:05Z","title":"Channel fidelities for high-fidelity approach in KLM scheme"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10297","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":"sha256:333a827fb15eb80d654d72d4197cc12766fc845aea466a01190c373be995e03c","target":"record","created_at":"2026-05-18T00:17:21Z","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":"45bfe2fa3fd2725c130672e0fdaf767d73af0fb43af46130a4db018b47fac6ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-26T22:22:05Z","title_canon_sha256":"7cdac1822053313483b9756603e014f3e2ab224841f8ab1f14b9d2f5d53915b5"},"schema_version":"1.0","source":{"id":"1804.10297","kind":"arxiv","version":1}},"canonical_sha256":"8ba24597da12b00e9f0d130015fd06f1f904f940c0bb0eb17a5e0dd074880b5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ba24597da12b00e9f0d130015fd06f1f904f940c0bb0eb17a5e0dd074880b5c","first_computed_at":"2026-05-18T00:17:21.209464Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:21.209464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YbQVeLmaluE0/3xDnCC9nY/WhylPAC9jgfpceP1mpSuw2J+jW2B4xMdGaIFy44qnngQEH9wRpGkJZP8IelY5DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:21.210146Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.10297","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:333a827fb15eb80d654d72d4197cc12766fc845aea466a01190c373be995e03c","sha256:6876d44b73c20b0940ffa88c723fbd94dedbb5983fa4a73c759fa5549cdf2863"],"state_sha256":"fd6bb4809249913e14b60220c8485e82882108e27f439134c7ac6a8ea05c5af0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WFZtfu/r1kNdSA5bvLdzoXjXpZssPyESzS9OLrQa/nZvBa15of7Zj4MQ7HlM3LZC79B12WbJxW23cmePJbQ0DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:24:31.575617Z","bundle_sha256":"c2ff166e5eba426d28ca9d4e79e74f89eb4ccb19ae6c7574262e7c7c2dda6e51"}}