{"id":"W4416385738","doi":"10.48550/arxiv.2510.08463","title":"Approximating quantum states by states of low rank","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of Waterloo; George Mason University","keywords":"Unitary state; Invariant (physics); Density matrix; TRACE (psycholinguistics); Unitary matrix; Rank (graph theory); Integer (computer science); Matrix (chemical analysis); Quantum state","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001973843,0.0005814038,0.0006438528,0.001270236,0.0006293133,0.002293963,0.001285519,0.001080847,0.002473924],"category_scores_gemma":[0.01280039,0.0005646128,0.0005338716,0.0008508044,0.002558435,0.004879035,0.002751315,0.00169186,0.0004842334],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001274301,"about_ca_system_score_gemma":0.0005622898,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001742484,"about_ca_topic_score_gemma":0.001471767,"domain_scores_codex":[0.9985245,0.0006127548,0.00008452613,0.0002243881,0.0003718437,0.0001820024],"domain_scores_gemma":[0.9962004,0.001972365,0.0005167753,0.0007770044,0.0003468099,0.0001866921],"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":[0.0002329077,0.00005595497,0.001921274,0.0001066496,0.0000315803,0.0001218075,0.0004714513,0.1077548,0.006079804,0.8633546,0.001122739,0.01874644],"study_design_scores_gemma":[0.00001443112,0.00003131539,0.0003070886,0.00002290045,0.000005267978,0.00006421103,0.00009238879,0.5269972,0.001831555,0.469905,0.0007023172,0.00002620612],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3723329,0.0004456659,0.6158134,0.0007602781,0.00006677103,0.00004411141,0.0001747518,0.0003205734,0.01004156],"genre_scores_gemma":[0.9287109,0.0002866688,0.06729548,0.000175978,0.00006964683,0.00005442412,0.0001881734,0.00009853121,0.003120259],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002473924,"threshold_uncertainty_score":0.0104388,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01672641339866094,"score_gpt":0.2524400028074176,"score_spread":0.2357135894087566,"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."}}