{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:53LPVZ3EZCXSYDJT2RBZETN3WC","short_pith_number":"pith:53LPVZ3E","canonical_record":{"source":{"id":"2402.05053","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-02-07T17:53:21Z","cross_cats_sorted":[],"title_canon_sha256":"b0683a89a826fa9e300758cfa8cf042367e31e16b2f2df856ff14aadb22c0279","abstract_canon_sha256":"cf2696c4a9dfeec0c10b934f6974a9f44be7ec953f53ccd0a41891cb9e1ac174"},"schema_version":"1.0"},"canonical_sha256":"eed6fae764c8af2c0d33d443924dbbb09b685ee222d71cd955f8e5c15098e7eb","source":{"kind":"arxiv","id":"2402.05053","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.05053","created_at":"2026-07-05T07:42:35Z"},{"alias_kind":"arxiv_version","alias_value":"2402.05053v1","created_at":"2026-07-05T07:42:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.05053","created_at":"2026-07-05T07:42:35Z"},{"alias_kind":"pith_short_12","alias_value":"53LPVZ3EZCXS","created_at":"2026-07-05T07:42:35Z"},{"alias_kind":"pith_short_16","alias_value":"53LPVZ3EZCXSYDJT","created_at":"2026-07-05T07:42:35Z"},{"alias_kind":"pith_short_8","alias_value":"53LPVZ3E","created_at":"2026-07-05T07:42:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:53LPVZ3EZCXSYDJT2RBZETN3WC","target":"record","payload":{"canonical_record":{"source":{"id":"2402.05053","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-02-07T17:53:21Z","cross_cats_sorted":[],"title_canon_sha256":"b0683a89a826fa9e300758cfa8cf042367e31e16b2f2df856ff14aadb22c0279","abstract_canon_sha256":"cf2696c4a9dfeec0c10b934f6974a9f44be7ec953f53ccd0a41891cb9e1ac174"},"schema_version":"1.0"},"canonical_sha256":"eed6fae764c8af2c0d33d443924dbbb09b685ee222d71cd955f8e5c15098e7eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:42:35.590248Z","signature_b64":"Z40KCfQo0UGUbVoJnHKs2ytDnqOKSFQDuwTBrjcRbN2DQeOpQ4sCCAu+i3wquUiwxGtZMiuIRTG5KiS7PUfKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eed6fae764c8af2c0d33d443924dbbb09b685ee222d71cd955f8e5c15098e7eb","last_reissued_at":"2026-07-05T07:42:35.589784Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:42:35.589784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.05053","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":"2026-07-05T07:42:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3es9BNCvFHSYimiyXBH6RoPI0kqisgArOUQnpn0bxGc7rBHCyJym9WbXqA1F98xZkkrDkCAbkc8tHQk+95b+Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T13:19:37.744560Z"},"content_sha256":"12fc06e8917c9eddcf223e30e22b73a422f15846cca3facae5a48761527ccf1f","schema_version":"1.0","event_id":"sha256:12fc06e8917c9eddcf223e30e22b73a422f15846cca3facae5a48761527ccf1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:53LPVZ3EZCXSYDJT2RBZETN3WC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum circuit for multi-qubit Toffoli gate with optimal resource","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Junhong Nie, Wei Zi, Xiaoming Sun","submitted_at":"2024-02-07T17:53:21Z","abstract_excerpt":"Resource consumption is an important issue in quantum information processing, particularly during the present NISQ era. In this paper, we investigate resource optimization of implementing multiple controlled operations, which are fundamental building blocks in the field of quantum computing and quantum simulation. We design new quantum circuits for the $n$-Toffoli gate and general multi-controlled unitary, which have only $O(\\log n)$-depth and $O(n)$-size, and only require $1$ ancillary qubit. To achieve these results, we explore the potential of ancillary qubits and discover a method to creat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.05053","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2402.05053/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":"2026-07-05T07:42:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NXKV7mjlSosiTzgdJcVcU61TFfIBxwxpJ0KoEE1K5D0ZM9JtcjYqWvG7FsoZ2Dx4OKQDxy2qb+yag2D7egVTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T13:19:37.746039Z"},"content_sha256":"c9353cbbd6bd7efbf34c455eb292c2af0b8e268e2e959ed68f741e406998d40d","schema_version":"1.0","event_id":"sha256:c9353cbbd6bd7efbf34c455eb292c2af0b8e268e2e959ed68f741e406998d40d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/53LPVZ3EZCXSYDJT2RBZETN3WC/bundle.json","state_url":"https://pith.science/pith/53LPVZ3EZCXSYDJT2RBZETN3WC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/53LPVZ3EZCXSYDJT2RBZETN3WC/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":"2026-08-05T13:19:37Z","links":{"resolver":"https://pith.science/pith/53LPVZ3EZCXSYDJT2RBZETN3WC","bundle":"https://pith.science/pith/53LPVZ3EZCXSYDJT2RBZETN3WC/bundle.json","state":"https://pith.science/pith/53LPVZ3EZCXSYDJT2RBZETN3WC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/53LPVZ3EZCXSYDJT2RBZETN3WC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:53LPVZ3EZCXSYDJT2RBZETN3WC","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":"cf2696c4a9dfeec0c10b934f6974a9f44be7ec953f53ccd0a41891cb9e1ac174","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-02-07T17:53:21Z","title_canon_sha256":"b0683a89a826fa9e300758cfa8cf042367e31e16b2f2df856ff14aadb22c0279"},"schema_version":"1.0","source":{"id":"2402.05053","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.05053","created_at":"2026-07-05T07:42:35Z"},{"alias_kind":"arxiv_version","alias_value":"2402.05053v1","created_at":"2026-07-05T07:42:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.05053","created_at":"2026-07-05T07:42:35Z"},{"alias_kind":"pith_short_12","alias_value":"53LPVZ3EZCXS","created_at":"2026-07-05T07:42:35Z"},{"alias_kind":"pith_short_16","alias_value":"53LPVZ3EZCXSYDJT","created_at":"2026-07-05T07:42:35Z"},{"alias_kind":"pith_short_8","alias_value":"53LPVZ3E","created_at":"2026-07-05T07:42:35Z"}],"graph_snapshots":[{"event_id":"sha256:c9353cbbd6bd7efbf34c455eb292c2af0b8e268e2e959ed68f741e406998d40d","target":"graph","created_at":"2026-07-05T07:42:35Z","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/2402.05053/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Resource consumption is an important issue in quantum information processing, particularly during the present NISQ era. In this paper, we investigate resource optimization of implementing multiple controlled operations, which are fundamental building blocks in the field of quantum computing and quantum simulation. We design new quantum circuits for the $n$-Toffoli gate and general multi-controlled unitary, which have only $O(\\log n)$-depth and $O(n)$-size, and only require $1$ ancillary qubit. To achieve these results, we explore the potential of ancillary qubits and discover a method to creat","authors_text":"Junhong Nie, Wei Zi, Xiaoming Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-02-07T17:53:21Z","title":"Quantum circuit for multi-qubit Toffoli gate with optimal resource"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.05053","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":"sha256:12fc06e8917c9eddcf223e30e22b73a422f15846cca3facae5a48761527ccf1f","target":"record","created_at":"2026-07-05T07:42:35Z","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":"cf2696c4a9dfeec0c10b934f6974a9f44be7ec953f53ccd0a41891cb9e1ac174","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-02-07T17:53:21Z","title_canon_sha256":"b0683a89a826fa9e300758cfa8cf042367e31e16b2f2df856ff14aadb22c0279"},"schema_version":"1.0","source":{"id":"2402.05053","kind":"arxiv","version":1}},"canonical_sha256":"eed6fae764c8af2c0d33d443924dbbb09b685ee222d71cd955f8e5c15098e7eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eed6fae764c8af2c0d33d443924dbbb09b685ee222d71cd955f8e5c15098e7eb","first_computed_at":"2026-07-05T07:42:35.589784Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:42:35.589784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z40KCfQo0UGUbVoJnHKs2ytDnqOKSFQDuwTBrjcRbN2DQeOpQ4sCCAu+i3wquUiwxGtZMiuIRTG5KiS7PUfKCg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:42:35.590248Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.05053","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12fc06e8917c9eddcf223e30e22b73a422f15846cca3facae5a48761527ccf1f","sha256:c9353cbbd6bd7efbf34c455eb292c2af0b8e268e2e959ed68f741e406998d40d"],"state_sha256":"513b7fa0d3670a79aa6e3d88c647024464ca28046e1ddc2791207a7e6cc05dae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n/J3a8rdcfBSHl5U5LHg3I4pYHtnRz2+wQ0HZKeOjh0vJ2MOM3UsQmK0DgenLrzVh5nVLO/kYv13nkWYKY/TDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T13:19:37.755106Z","bundle_sha256":"a15800e44440bb029745e594ebe3957b763357822452567e3bc8693b6411d58b"}}