{"id":"W4401070871","doi":"10.1109/tit.2024.3435412","title":"The Existence of Distinguishable Bases in Three-Dimensional Subspaces of Qutrit-Qudit Systems Under One-Way Local Projective Measurements and Classical Communication","year":2024,"lang":"en","type":"article","venue":"IEEE Transactions on Information Theory","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"National Natural Science Foundation of China","keywords":"Projective test; Linear subspace; Qutrit; Mathematics; Pure mathematics; Discrete mathematics; Combinatorics; Algebra over a field; Physics; Quantum entanglement; Quantum mechanics","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":[0.001210459,0.0001072868,0.0001418102,0.0003155974,0.0002051252,0.0001500272,0.0003040173,0.00006116278,0.000005983292],"category_scores_gemma":[0.0000249124,0.00008055381,0.00006154827,0.0006078954,0.0002925309,0.001566255,0.000007500277,0.0001942989,0.000009261866],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005075501,"about_ca_system_score_gemma":0.00009543465,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008378963,"about_ca_topic_score_gemma":0.0001115794,"domain_scores_codex":[0.9985977,0.0001817427,0.0005556594,0.00009571878,0.0004397288,0.0001294565],"domain_scores_gemma":[0.9983788,0.0008459693,0.0001849446,0.0003142093,0.0002394203,0.00003664952],"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":[0.0001332871,0.0001715648,0.00006524035,0.0003683101,0.0001061517,1.785035e-7,0.004525566,0.03627003,0.00007525525,0.9155715,0.00008915939,0.04262376],"study_design_scores_gemma":[0.0006980803,0.0003037477,0.002885943,0.001555505,0.00004029812,0.00001683124,0.004937694,0.9470622,0.006603695,0.03490155,0.0006868824,0.0003075729],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01186921,0.0003444155,0.9852393,0.0002577102,0.0002873226,0.0003413317,0.00001933463,0.00006833094,0.001573107],"genre_scores_gemma":[0.9990057,0.00005748561,0.0007977863,0.00004618408,0.000003921149,0.0000652872,0.000002601637,0.000003487341,0.00001755907],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9871365,"threshold_uncertainty_score":0.3284889,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03072559967719287,"score_gpt":0.2514976949696649,"score_spread":0.220772095292472,"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."}}