{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7Q4XWA7FPW7VCDNIMFFR3WZ6X3","short_pith_number":"pith:7Q4XWA7F","canonical_record":{"source":{"id":"1603.07982","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-25T18:46:20Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"28f13252116f4845e38835331773bb9eaa19b9a1141040c398d689bc219a6bd5","abstract_canon_sha256":"359233f7321f0d4a1971ee9a349af71cd1ff53e50ead6b6dd7b0f525d2923de6"},"schema_version":"1.0"},"canonical_sha256":"fc397b03e57dbf510da8614b1ddb3ebec03f92999ab75d8a623f9f967975d8d9","source":{"kind":"arxiv","id":"1603.07982","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07982","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07982v3","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07982","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"pith_short_12","alias_value":"7Q4XWA7FPW7V","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7Q4XWA7FPW7VCDNI","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7Q4XWA7F","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7Q4XWA7FPW7VCDNIMFFR3WZ6X3","target":"record","payload":{"canonical_record":{"source":{"id":"1603.07982","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-25T18:46:20Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"28f13252116f4845e38835331773bb9eaa19b9a1141040c398d689bc219a6bd5","abstract_canon_sha256":"359233f7321f0d4a1971ee9a349af71cd1ff53e50ead6b6dd7b0f525d2923de6"},"schema_version":"1.0"},"canonical_sha256":"fc397b03e57dbf510da8614b1ddb3ebec03f92999ab75d8a623f9f967975d8d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:30.477704Z","signature_b64":"rWnKTUTfw74Abf6grfTC0AOHKQDcZsq/I0USPep9eMTIwZVih7O2/UNqc4pLE9xXwZiBV2bz/0m0ToFbn/RFAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc397b03e57dbf510da8614b1ddb3ebec03f92999ab75d8a623f9f967975d8d9","last_reissued_at":"2026-05-17T23:56:30.477255Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:30.477255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.07982","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:56:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CDj8ZKIYSa7/+NceKRgb7Q4F52t2ON+jNca6vbwuJVP6NRD+26OzI0eH0GpyEdJP1h95GvoO75pHk6CbO65YBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T08:42:09.783614Z"},"content_sha256":"e3f9d0e4e3931ccc1e0ded9ec38c4bc4e1c8a909adae4138503e5bfdc7d64649","schema_version":"1.0","event_id":"sha256:e3f9d0e4e3931ccc1e0ded9ec38c4bc4e1c8a909adae4138503e5bfdc7d64649"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7Q4XWA7FPW7VCDNIMFFR3WZ6X3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dual Field Theories of Quantum Computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Vitaly Vanchurin","submitted_at":"2016-03-25T18:46:20Z","abstract_excerpt":"Given two quantum states of N q-bits we are interested to find the shortest quantum circuit consisting of only one- and two- q-bit gates that would transfer one state into another. We call it the quantum maze problem for the reasons described in the paper. We argue that in a large N limit the quantum maze problem is equivalent to the problem of finding a semiclassical trajectory of some lattice field theory (the dual theory) on an N+1 dimensional space-time with geometrically flat, but topologically compact spatial slices. The spatial fundamental domain is an N dimensional hyper-rhombohedron, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07982","kind":"arxiv","version":3},"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":"2026-05-17T23:56:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/hOqNnr+RjKRNlT23HDZ7wjsBwbyIbZ+6oRUlhK0UhT7cF5TaJWHOPZqTI85nOqe3HrrBsBu9W71aE9zeHlsDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T08:42:09.784270Z"},"content_sha256":"81c1269c145fa0f7ec56d3b62a6cfa2d0bee31292088c6173c0d4af98f3c863d","schema_version":"1.0","event_id":"sha256:81c1269c145fa0f7ec56d3b62a6cfa2d0bee31292088c6173c0d4af98f3c863d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7Q4XWA7FPW7VCDNIMFFR3WZ6X3/bundle.json","state_url":"https://pith.science/pith/7Q4XWA7FPW7VCDNIMFFR3WZ6X3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7Q4XWA7FPW7VCDNIMFFR3WZ6X3/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":"2026-06-10T08:42:09Z","links":{"resolver":"https://pith.science/pith/7Q4XWA7FPW7VCDNIMFFR3WZ6X3","bundle":"https://pith.science/pith/7Q4XWA7FPW7VCDNIMFFR3WZ6X3/bundle.json","state":"https://pith.science/pith/7Q4XWA7FPW7VCDNIMFFR3WZ6X3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7Q4XWA7FPW7VCDNIMFFR3WZ6X3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7Q4XWA7FPW7VCDNIMFFR3WZ6X3","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":"359233f7321f0d4a1971ee9a349af71cd1ff53e50ead6b6dd7b0f525d2923de6","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-25T18:46:20Z","title_canon_sha256":"28f13252116f4845e38835331773bb9eaa19b9a1141040c398d689bc219a6bd5"},"schema_version":"1.0","source":{"id":"1603.07982","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07982","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07982v3","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07982","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"pith_short_12","alias_value":"7Q4XWA7FPW7V","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7Q4XWA7FPW7VCDNI","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7Q4XWA7F","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:81c1269c145fa0f7ec56d3b62a6cfa2d0bee31292088c6173c0d4af98f3c863d","target":"graph","created_at":"2026-05-17T23:56:30Z","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":"Given two quantum states of N q-bits we are interested to find the shortest quantum circuit consisting of only one- and two- q-bit gates that would transfer one state into another. We call it the quantum maze problem for the reasons described in the paper. We argue that in a large N limit the quantum maze problem is equivalent to the problem of finding a semiclassical trajectory of some lattice field theory (the dual theory) on an N+1 dimensional space-time with geometrically flat, but topologically compact spatial slices. The spatial fundamental domain is an N dimensional hyper-rhombohedron, ","authors_text":"Vitaly Vanchurin","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-25T18:46:20Z","title":"Dual Field Theories of Quantum Computation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07982","kind":"arxiv","version":3},"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:e3f9d0e4e3931ccc1e0ded9ec38c4bc4e1c8a909adae4138503e5bfdc7d64649","target":"record","created_at":"2026-05-17T23:56:30Z","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":"359233f7321f0d4a1971ee9a349af71cd1ff53e50ead6b6dd7b0f525d2923de6","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-25T18:46:20Z","title_canon_sha256":"28f13252116f4845e38835331773bb9eaa19b9a1141040c398d689bc219a6bd5"},"schema_version":"1.0","source":{"id":"1603.07982","kind":"arxiv","version":3}},"canonical_sha256":"fc397b03e57dbf510da8614b1ddb3ebec03f92999ab75d8a623f9f967975d8d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc397b03e57dbf510da8614b1ddb3ebec03f92999ab75d8a623f9f967975d8d9","first_computed_at":"2026-05-17T23:56:30.477255Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:30.477255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rWnKTUTfw74Abf6grfTC0AOHKQDcZsq/I0USPep9eMTIwZVih7O2/UNqc4pLE9xXwZiBV2bz/0m0ToFbn/RFAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:30.477704Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07982","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3f9d0e4e3931ccc1e0ded9ec38c4bc4e1c8a909adae4138503e5bfdc7d64649","sha256:81c1269c145fa0f7ec56d3b62a6cfa2d0bee31292088c6173c0d4af98f3c863d"],"state_sha256":"441df0b3b3783ffea7cb07e7469defd3cded4715b04862bc11431d7634217586"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TNEijv4b/IyFAPN2qEBxTz6vfG9cl2OclnsJMXQ8d9u5vH0ihLhPC8xydDcPHKkhBOtydCIM/qjrJlOQ6VABDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T08:42:09.788145Z","bundle_sha256":"f194cdedeed8c7ee69bd7f482e4f98bb86a71e044d7bc7610719af86cc25e726"}}