{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007140546,0.0001988486,0.0003036229,0.000641876,0.0008421839,0.001791585,0.0005850694,0.0008568138,0.004974244],"category_scores_gemma":[0.004366576,0.0001974322,0.0003378019,0.0003654578,0.002188605,0.002884801,0.0007759099,0.001130446,0.000463626],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001203086,"about_ca_system_score_gemma":0.0005599951,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001137498,"about_ca_topic_score_gemma":0.0007907399,"domain_scores_codex":[0.9996232,0.0001083635,0.0000141216,0.00005277151,0.0001235142,0.00007796595],"domain_scores_gemma":[0.9985233,0.0008555453,0.00008843775,0.0001750174,0.0001837055,0.0001740301],"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":[0.000007026273,0.000007534756,0.00006701503,0.00001075043,0.00000112309,0.00003141027,0.00006913599,0.001074712,0.0005979454,0.9968277,0.0003347885,0.0009708721],"study_design_scores_gemma":[0.00001050088,0.00001004371,0.000219392,0.00000905475,0.000001528718,0.00005324915,0.00003982461,0.04987874,0.0004470987,0.9479517,0.001367497,0.00001127642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5555658,0.002017926,0.2841882,0.007387293,0.00064293,0.0001013216,0.0002677084,0.0009294348,0.1488994],"genre_scores_gemma":[0.9741058,0.000392823,0.01864209,0.0004963641,0.0001626763,0.0000528678,0.00006798511,0.00008377989,0.005995539],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004974244,"threshold_uncertainty_score":0.01664048,"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."}}