{"id":"W2103213553","doi":"10.37236/652","title":"Quantum Walks on Regular Graphs and Eigenvalues","year":2011,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":35,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Quantum walk; Mathematics; Eigenvalues and eigenvectors; Combinatorics; Spectrum (functional analysis); Stochastic matrix; Strongly regular graph; Matrix (chemical analysis); Quantum; Discrete mathematics; Random walk; Graph; Quantum algorithm; Pathwidth; Line graph; Quantum mechanics; Markov chain; Physics","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":[0.00119688,0.0001586763,0.0002209089,0.0001439762,0.000221273,0.00006364048,0.001136604,0.00005108974,0.000001919127],"category_scores_gemma":[0.00004090658,0.000096754,0.0001104904,0.0003799694,0.00008052729,0.0001334549,0.0001353639,0.000751551,0.000003011995],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005419825,"about_ca_system_score_gemma":0.0001636597,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000648176,"about_ca_topic_score_gemma":5.325551e-7,"domain_scores_codex":[0.9985079,0.0001667473,0.0002999585,0.000161414,0.0003880133,0.0004760184],"domain_scores_gemma":[0.9989409,0.0001428947,0.0003005428,0.0004012977,0.0001222268,0.00009217073],"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":[0.00001750161,0.00007869662,0.00005729431,0.000003637874,0.00004448004,0.00001778382,0.001034628,0.00003996841,0.00006177265,0.9919195,0.0001483095,0.006576442],"study_design_scores_gemma":[0.000377294,0.001554139,0.001130443,0.00003035834,0.00001779098,0.0004068023,0.00003431573,0.01245537,0.001259245,0.9817269,0.0008803905,0.0001268812],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9016551,0.005185573,0.09024865,0.00124613,0.0008998351,0.00009991737,2.22692e-7,0.00006337275,0.0006012077],"genre_scores_gemma":[0.9989011,0.0004991615,0.0003476982,0.0001506406,0.00004560071,6.21628e-7,5.933756e-8,0.00001145819,0.00004361826],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09724605,"threshold_uncertainty_score":0.3945514,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0112959498168125,"score_gpt":0.2079735669755661,"score_spread":0.1966776171587536,"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."}}