{"id":"W4415403472","doi":"10.22331/q-2025-10-21-1890","title":"A Mathematical Structure for Amplitude-Mixing Error-Transparent Gates for Binomial Codes","year":2025,"lang":"en","type":"article","venue":"Quantum","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Quantum error correction; Error detection and correction; Qubit; Quantum information; Quantum; Realization (probability); Quantum computer; Binomial (polynomial)","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":[0.0001464729,0.0001565015,0.0002673063,0.00007061411,0.00009710943,0.00004537879,0.0001445984,0.00009992943,0.00002400076],"category_scores_gemma":[0.00003439115,0.0001382053,0.000136033,0.00008519847,0.00003020754,0.00004555711,0.000007730235,0.00007352977,0.000004057706],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002537671,"about_ca_system_score_gemma":0.00001208552,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001629153,"about_ca_topic_score_gemma":0.000009512419,"domain_scores_codex":[0.9992349,0.00001462846,0.0002606286,0.0001579788,0.00006011115,0.0002717905],"domain_scores_gemma":[0.9994908,0.0002465666,0.00002080889,0.0001711402,0.00002868843,0.00004198135],"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":[0.00009139939,0.00002721778,0.000137788,0.00243607,0.0001793176,7.864027e-7,0.0007101739,0.00371531,0.02307993,0.9665612,0.002441491,0.0006193012],"study_design_scores_gemma":[0.001350289,0.0001009808,0.0002837094,0.0004355244,0.0001378218,0.000005505918,0.0008074715,0.2255717,0.02247747,0.7320793,0.0163173,0.0004329633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5044777,0.0004906604,0.4917221,0.0001045583,0.001118797,0.0009397062,0.000258523,0.0003172644,0.0005706892],"genre_scores_gemma":[0.9982432,0.000002773599,0.001270216,0.00002471252,0.00009419974,0.0002059588,0.00002982632,0.00002598492,0.0001032013],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4937655,"threshold_uncertainty_score":0.5635849,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02360453177811975,"score_gpt":0.2764819482934843,"score_spread":0.2528774165153646,"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."}}