{"id":"W2746327394","doi":"10.1016/j.laa.2018.03.043","title":"The inverse eigenvalue problem for entanglement witnesses","year":2018,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Guelph; Mount Allison University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Eigenvalues and eigenvectors; Quantum entanglement; Hyperplane; Separable space; Duality (order theory); Inverse; Spectrum (functional analysis); Combinatorics; Set (abstract data type); Rank (graph theory); Finite set; Pure mathematics; Mathematical analysis; Quantum mechanics; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001514336,0.00006787556,0.00004969163,0.00003669433,0.0006535357,0.0001213767,0.0003320074,0.00002364725,0.00000924793],"category_scores_gemma":[0.000008374598,0.00004681692,0.00003179406,0.0002730163,0.00007606603,0.0002221284,0.00007562263,0.00003328948,0.00008560939],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005178432,"about_ca_system_score_gemma":0.000028724,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001578681,"about_ca_topic_score_gemma":0.00001667636,"domain_scores_codex":[0.9994472,0.000009400691,0.000163578,0.0001418655,0.0000935536,0.0001443906],"domain_scores_gemma":[0.999404,0.00006672407,0.0000636855,0.0002553221,0.0001494916,0.00006076353],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000001869856,0.00001758604,0.0000234998,0.000009727392,0.000008985302,1.246264e-8,0.0003720677,0.000001063166,0.0001242213,0.9787894,0.003711825,0.01693968],"study_design_scores_gemma":[0.0002112069,0.00007843875,0.000131606,0.000003944396,0.000007044343,0.0000022956,0.0001293871,0.04847063,0.00350121,0.04967466,0.8976904,0.00009916299],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.005123947,0.0002188622,0.9861743,0.003760705,0.0000847947,0.001055855,0.00001205985,0.0001306917,0.003438758],"genre_scores_gemma":[0.8070335,0.0009158725,0.1786895,0.006074367,0.000997116,0.004646354,0.00006300873,0.00003180146,0.001548483],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9291148,"threshold_uncertainty_score":0.5026534,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0143907932361439,"score_gpt":0.2620285739518209,"score_spread":0.247637780715677,"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."}}