{"id":"W4416417400","doi":"10.1364/ol.579046","title":"Entangled two-photon states in the helical Mathieu-Gauss modes basis","year":2025,"lang":"en","type":"article","venue":"Optics Letters","topic":"Orbital Angular Momentum in Optics","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"Consejo Nacional de Ciencia y Tecnología","keywords":"Spontaneous parametric down-conversion; Superposition principle; Basis (linear algebra); Greenberger–Horne–Zeilinger state; Angular momentum; State (computer science); W state; Quantum optics; Coherent states","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":[0.0001845845,0.00016306,0.00015853,0.00008227368,0.00008324605,0.0001279565,0.0003118023,0.00002544707,0.00007606759],"category_scores_gemma":[0.000005414548,0.000126634,0.00009292603,0.0002494661,0.00008559353,0.000078449,0.00009321421,0.0002478935,0.00004326278],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004296897,"about_ca_system_score_gemma":0.00001933541,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001242869,"about_ca_topic_score_gemma":0.000006707203,"domain_scores_codex":[0.9990096,0.00006119402,0.0002226214,0.0002101286,0.0001883847,0.0003080797],"domain_scores_gemma":[0.9994462,0.0001382792,0.00004375512,0.0003199433,0.00002001231,0.00003181277],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001166692,0.001668731,0.09475243,0.0001649866,0.0005610878,0.0001275781,0.005079451,0.01348159,0.07257917,0.7766505,0.02461497,0.01020287],"study_design_scores_gemma":[0.01768929,0.0005645831,0.02237135,0.001122638,0.00114165,0.0000227098,0.04272989,0.345664,0.2664835,0.2208745,0.07599201,0.00534383],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9728611,0.00003082239,0.004124564,0.008789323,0.0001496082,0.0002452412,0.00003033996,0.00002155623,0.0137475],"genre_scores_gemma":[0.9937522,0.000004749741,0.002398963,0.003306058,0.0001035503,0.00005568559,0.00004404805,0.00001495063,0.0003197807],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.555776,"threshold_uncertainty_score":0.5163985,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005770942184622161,"score_gpt":0.2441753962941772,"score_spread":0.2384044541095551,"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."}}