{"id":"W2201585720","doi":"10.1109/tit.2016.2641455","title":"Additive Bounds of Minimum Output Entropies for Unital Channels and an Exact Qubit Formula","year":2016,"lang":"en","type":"article","venue":"IEEE Transactions on Information Theory","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada; Japan Society for the Promotion of Science; John Templeton Foundation","keywords":"Hermitian matrix; Upper and lower bounds; Classical capacity; Tensor product; Quantum channel; Unital; Pauli exclusion principle; Corollary; Qubit; Entropy (arrow of time)","routes":{"ca_aff":true,"ca_fund":true,"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":[0.003196332,0.001408267,0.001237585,0.002681617,0.001003613,0.00277284,0.002675767,0.001429756,0.007122174],"category_scores_gemma":[0.01290209,0.0005173166,0.001184649,0.001578271,0.00353682,0.007533974,0.004663807,0.004225636,0.0008679649],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001525345,"about_ca_system_score_gemma":0.0007134822,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004339346,"about_ca_topic_score_gemma":0.000492985,"domain_scores_codex":[0.9963591,0.0007636741,0.0002290796,0.0005009727,0.001481561,0.0006656267],"domain_scores_gemma":[0.9925652,0.004739421,0.0005152535,0.001142314,0.0006427103,0.000395022],"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":[0.00006146098,0.0000369468,0.0002304522,0.0001212992,0.00002327771,0.0000900775,0.000153228,0.01934131,0.003786433,0.9667429,0.0006117349,0.008800765],"study_design_scores_gemma":[0.000009787823,0.00004443753,0.0002609622,0.00006070242,0.00002703541,0.00008431184,0.00002948386,0.155646,0.006770068,0.8356946,0.001324121,0.00004844596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1051191,0.001819786,0.8370632,0.001166359,0.0001926752,0.00006060932,0.0003289104,0.0005420784,0.05370734],"genre_scores_gemma":[0.9189928,0.000875721,0.0726977,0.0004194104,0.0003085769,0.0001816026,0.0001843973,0.0002795152,0.006060235],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007122174,"threshold_uncertainty_score":0.02382612,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01084520098555793,"score_gpt":0.2351932866944591,"score_spread":0.2243480857089011,"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."}}