{"id":"W3038086750","doi":"10.1103/physreva.75.042313","title":"Hamiltonian oracles","year":2007,"lang":"en","type":"article","venue":"Physical Review A","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":51,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Geodesic; Oracle; Unitary state; Mathematics; Hamiltonian (control theory); Upper and lower bounds; Limit (mathematics); Simple (philosophy); Hamiltonian path; Algorithm; Discrete mathematics; Computer science; Mathematical optimization; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003260896,0.0006664079,0.001401345,0.001126794,0.00262632,0.005388333,0.00281526,0.003515899,0.02281597],"category_scores_gemma":[0.02026113,0.0007186034,0.001083973,0.001434814,0.007604459,0.0165453,0.007684072,0.006129557,0.002730432],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001926615,"about_ca_system_score_gemma":0.001379209,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006179617,"about_ca_topic_score_gemma":0.000698704,"domain_scores_codex":[0.9947172,0.001697483,0.0003940735,0.001179569,0.001331688,0.0006801272],"domain_scores_gemma":[0.9876652,0.006494362,0.0005401272,0.003763522,0.0008604218,0.0006762992],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000295238,0.00001228451,0.00005672748,0.00003162582,0.000004221416,0.00002456118,0.00006963831,0.0005162471,0.0003163573,0.9927512,0.001632402,0.004555028],"study_design_scores_gemma":[0.00002179495,0.00002819128,0.00006351889,0.00002590244,0.000007276843,0.00008305476,0.00006161619,0.01023581,0.001026123,0.9773504,0.01107903,0.00001726688],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0571191,0.002250593,0.7517347,0.007511022,0.0009016948,0.0005470291,0.001431048,0.001307217,0.1771977],"genre_scores_gemma":[0.7834836,0.001587124,0.160384,0.002584419,0.0005740257,0.00078016,0.001090618,0.0005180547,0.04899788],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02281597,"threshold_uncertainty_score":0.07632703,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01084837948863744,"score_gpt":0.3012946121156237,"score_spread":0.2904462326269863,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}