{"paper":{"title":"Quantum Searches in a Hard 2SAT Ensemble","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Neuhaus Thomas","submitted_at":"2014-12-17T16:15:49Z","abstract_excerpt":"Using a recently constructed ensemble of hard 2SAT realizations, that has a unique ground-state we calculate for the quantized theory the median gap correlation length values $\\xi_{GAP}$ along the direction of the quantum adiabatic control parameter $\\lambda$. We use quantum annealing (QA) with transverse field and a linear time schedule in the adiabatic control parameter $\\lambda$. The gap correlation length diverges exponentially $\\xi_{\\rm GAP} \\propto {\\rm exp} [+r_{\\rm GAP}N]$ in the median with a rate constant $r_{\\rm GAP}=0.553(6)$, while the run time diverges exponentially $\\tau_{\\rm QA"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5460","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"}