{"id":"W2010245486","doi":"10.1103/physrevlett.91.130602","title":"Quantum to Classical Transition for Random Walks","year":2003,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":194,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Quantum walk; Quantum decoherence; Random walk; Heterogeneous random walk in one dimension; Limit (mathematics); Statistical physics; Position (finance); Physics; Quantum; Classical limit; Quadratic equation; Quantum mechanics; Variance (accounting); Mathematics; Quantum algorithm; Statistics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003218309,0.0001789863,0.0003863258,0.00003650561,0.0001115925,0.00006115636,0.0004052773,0.000009930484,0.000002681381],"category_scores_gemma":[0.0001159905,0.000138495,0.0002987418,0.0003000041,0.00002721589,0.00009700935,0.0000329361,0.0001559303,0.00005445721],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002149602,"about_ca_system_score_gemma":0.0000213698,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001334661,"about_ca_topic_score_gemma":1.742263e-7,"domain_scores_codex":[0.9986051,0.000154577,0.0002151782,0.0004342419,0.0002371012,0.0003537804],"domain_scores_gemma":[0.9990714,0.0003058718,0.00004996752,0.0003726831,0.00003505664,0.0001649813],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00009119351,0.00104729,0.000007220331,0.003322191,0.00016465,0.00005761848,0.002959339,0.02221102,0.05592326,0.384477,0.1068224,0.4229168],"study_design_scores_gemma":[0.001295195,0.0002659619,0.0000614685,0.001126661,0.00005351975,0.00002427918,0.000002310822,0.7713526,0.0009992314,0.009129537,0.2151229,0.0005663536],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02647704,0.0007669192,0.9122885,0.05942808,0.0002457945,0.0006281576,0.00000279363,0.0001138358,0.00004892648],"genre_scores_gemma":[0.7548426,0.0002424832,0.08476136,0.1591384,0.0006690338,0.0002837539,0.000007987986,0.00004110365,0.0000133442],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8275271,"threshold_uncertainty_score":0.5647664,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01402301100737067,"score_gpt":0.2750195781095247,"score_spread":0.260996567102154,"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."}}