{"id":"W3126461544","doi":"10.1137/23m1573975","title":"Symmetries, Graph Properties, and Quantum Speedups","year":2024,"lang":"en","type":"article","venue":"SIAM Journal on Computing","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia; University of Waterloo","funders":"Army Research Office; U.S. Department of Defense; U.S. Department of Energy; Natural Sciences and Engineering Research Council of Canada; Samsung; National Science Foundation","keywords":"Permutation group; Adjacency list; Homogeneous space; Adjacency matrix; Speedup; Quantum algorithm; Mathematics; Combinatorics; Discrete mathematics; Quantum; Permutation (music); Computer science; Graph; Parallel computing; Quantum mechanics; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.002537318,0.0006085293,0.0009641887,0.0006175284,0.001067859,0.002553439,0.001355103,0.001491539,0.008250561],"category_scores_gemma":[0.01351079,0.0005126975,0.001109336,0.0008143069,0.003623274,0.009169119,0.00209789,0.00298697,0.0007220384],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001886796,"about_ca_system_score_gemma":0.001644535,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009900536,"about_ca_topic_score_gemma":0.00104763,"domain_scores_codex":[0.9980173,0.0004893013,0.00007596845,0.0003908504,0.0005593205,0.000467169],"domain_scores_gemma":[0.9869319,0.00704269,0.0006938652,0.004538334,0.0004029675,0.0003902694],"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":[0.0003984169,0.0001833766,0.001985126,0.0001519564,0.00003922312,0.0001333955,0.0001916656,0.04712149,0.01033219,0.9172089,0.00346939,0.01878486],"study_design_scores_gemma":[0.00005973705,0.00008283091,0.000645474,0.00001423775,0.00002072106,0.0001106724,0.00006691285,0.1148676,0.006094649,0.8758157,0.002201336,0.00002026034],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6901619,0.0007196783,0.2623648,0.005426019,0.0001695123,0.0002028597,0.0006366664,0.001360821,0.03895769],"genre_scores_gemma":[0.9705138,0.0002044267,0.02649286,0.0002635778,0.00006759175,0.00007978074,0.0001846865,0.0001891648,0.002004103],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008250561,"threshold_uncertainty_score":0.02760088,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02288213819992293,"score_gpt":0.2387494341219067,"score_spread":0.2158672959219837,"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."}}