{"id":"W4416913168","doi":"10.22331/q-2025-12-02-1921","title":"Solving one-body ensemble N-representability problems with spin","year":2025,"lang":"en","type":"article","venue":"Quantum","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"École de Technologie Supérieure","funders":"International Max Planck Research School for Quantum Science and Technology; International Max Planck Research School for Advanced Methods in Process and Systems Engineering; Deutsche Forschungsgemeinschaft; International Max Planck Research School for Environmental, Cellular and Molecular Microbiology","keywords":"Pauli exclusion principle; Spin (aerodynamics); Density matrix; Quantum; Representation (politics); Polytope; Atomic orbital; Homogeneous space; Convex polytope","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":[0.0004114592,0.0002095136,0.0002638176,0.0001408442,0.0002625202,0.000250072,0.0009533136,0.00006595335,0.000008651452],"category_scores_gemma":[0.00005285038,0.0001674062,0.00007813112,0.0007441488,0.00008908938,0.0002062643,0.0004712564,0.0002996586,0.00003405898],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004202676,"about_ca_system_score_gemma":0.000162657,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001852492,"about_ca_topic_score_gemma":0.00002795626,"domain_scores_codex":[0.9981102,0.0001021603,0.0002847898,0.0007032445,0.0003132975,0.000486283],"domain_scores_gemma":[0.9985427,0.0001605283,0.00009035761,0.001016646,0.00009526205,0.0000944654],"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":[0.0000677403,0.001205243,0.01547059,0.0006030358,0.0002697679,0.0001031018,0.002931443,0.02173715,0.02419693,0.7846861,0.003664606,0.1450643],"study_design_scores_gemma":[0.0005252595,0.0002329654,0.01171617,0.0002782842,0.0000130366,0.00002038816,0.0000297615,0.9367222,0.007026295,0.0394684,0.003626485,0.0003408164],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2729779,0.0001968164,0.7194464,0.002433355,0.0003961906,0.0002782181,0.000001053145,0.0004072571,0.003862834],"genre_scores_gemma":[0.965153,0.000005045962,0.03406058,0.0002936017,0.0000707121,0.00001475562,0.000001719236,0.00001117189,0.0003893935],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.914985,"threshold_uncertainty_score":0.6826628,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01258436673082971,"score_gpt":0.2545957076076845,"score_spread":0.2420113408768547,"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."}}