{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:NVCGWTLO5ECTGXQZYOEVTCGPWV","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":"02c229194d73096071c443ad125baa55d68ef264454817f24e1f139a04b65a04","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-11-18T19:04:51Z","title_canon_sha256":"cc400b97ddac7d9db45b81f1f96fa37295afc4260fe2086ce858900899642378"},"schema_version":"1.0","source":{"id":"2011.09495","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.09495","created_at":"2026-07-05T01:52:49Z"},{"alias_kind":"arxiv_version","alias_value":"2011.09495v1","created_at":"2026-07-05T01:52:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.09495","created_at":"2026-07-05T01:52:49Z"},{"alias_kind":"pith_short_12","alias_value":"NVCGWTLO5ECT","created_at":"2026-07-05T01:52:49Z"},{"alias_kind":"pith_short_16","alias_value":"NVCGWTLO5ECTGXQZ","created_at":"2026-07-05T01:52:49Z"},{"alias_kind":"pith_short_8","alias_value":"NVCGWTLO","created_at":"2026-07-05T01:52:49Z"}],"graph_snapshots":[{"event_id":"sha256:43a426461210652082ce116509d5486426d7a195b4c7e62b7cd6d51c825de1aa","target":"graph","created_at":"2026-07-05T01:52:49Z","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/2011.09495/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We demonstrate the possibility of (sub)exponential quantum speedup via a quantum algorithm that follows an adiabatic path of a gapped Hamiltonian with no sign problem. This strengthens the superpolynomial separation recently proved by Hastings. The Hamiltonian that exhibits this speed-up comes from the adjacency matrix of an undirected graph, and we can view the adiabatic evolution as an efficient $\\mathcal{O}(\\mathrm{poly}(n))$-time quantum algorithm for finding a specific \"EXIT\" vertex in the graph given the \"ENTRANCE\" vertex. On the other hand we show that if the graph is given via an adjac","authors_text":"Andr\\'as Gily\\'en, Umesh Vazirani","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-11-18T19:04:51Z","title":"(Sub)Exponential advantage of adiabatic quantum computation with no sign problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.09495","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":"sha256:30013fed0c862bdc66573400dbfea7021ef271c455e220a192c6b6a14bfd39ba","target":"record","created_at":"2026-07-05T01:52:49Z","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":"02c229194d73096071c443ad125baa55d68ef264454817f24e1f139a04b65a04","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-11-18T19:04:51Z","title_canon_sha256":"cc400b97ddac7d9db45b81f1f96fa37295afc4260fe2086ce858900899642378"},"schema_version":"1.0","source":{"id":"2011.09495","kind":"arxiv","version":1}},"canonical_sha256":"6d446b4d6ee905335e19c3895988cfb568da9b04d3d82d26ec1ddf736b4e6124","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d446b4d6ee905335e19c3895988cfb568da9b04d3d82d26ec1ddf736b4e6124","first_computed_at":"2026-07-05T01:52:49.157583Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:52:49.157583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8zIPFUjoZxz+pTVEhbvwjSOsJ1+NBhigdqISOPZGpvGk5UX/fDkbvILyXWFFuXXQ1jm2dQ3SKZah0/mVCZ5BDw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:52:49.158061Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.09495","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30013fed0c862bdc66573400dbfea7021ef271c455e220a192c6b6a14bfd39ba","sha256:43a426461210652082ce116509d5486426d7a195b4c7e62b7cd6d51c825de1aa"],"state_sha256":"c2cac823215dcf1400ffa863a97be8c310069ae6ef2a94ac10c7967788f61690"}