{"id":"W4417331640","doi":"10.1103/qgcx-wxpd","title":"Krylov Complexity of Purification","year":2025,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Quantum many-body systems","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute","funders":"Innovation, Science and Economic Development Canada; Institut Périmètre de physique théorique; Deutsche Forschungsgemeinschaft; Japan Society for the Promotion of Science; Ontario Ministry of Research, Innovation and Science; Government of Canada","keywords":"Unitary state; Quantum; Hilbert space; Gaussian; Quantum state; Entropic uncertainty; State (computer science); Connection (principal bundle)","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":[0.001665879,0.0003654754,0.0006389271,0.001646351,0.001155188,0.00265983,0.0009142224,0.0008456091,0.003094469],"category_scores_gemma":[0.009949313,0.0003844588,0.000689374,0.0007769158,0.004614456,0.006928759,0.002823897,0.002189517,0.0003579205],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001673896,"about_ca_system_score_gemma":0.0009604041,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006266685,"about_ca_topic_score_gemma":0.0003435136,"domain_scores_codex":[0.9977931,0.000566504,0.0001310219,0.000293396,0.0008525192,0.0003635168],"domain_scores_gemma":[0.9932157,0.003934948,0.0007814816,0.001202016,0.000567258,0.0002985946],"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":[0.00001443043,0.000006476266,0.000360375,0.00003075135,0.000006604326,0.00002249948,0.0001414474,0.005650251,0.000655344,0.9903502,0.0002435783,0.002517948],"study_design_scores_gemma":[0.00000476411,0.00001505308,0.0004527346,0.00001182289,0.000004100873,0.00006412269,0.00005641311,0.02958251,0.000856842,0.9677328,0.001204603,0.00001415182],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5113723,0.001864855,0.4011317,0.003741119,0.0001212045,0.0001388917,0.0006111278,0.0003236543,0.0806952],"genre_scores_gemma":[0.9860808,0.0003537,0.01090507,0.0001145675,0.0001075611,0.00008765198,0.0001169892,0.00004072023,0.00219291],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003094469,"threshold_uncertainty_score":0.01214498,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02991507408440709,"score_gpt":0.3185215017091037,"score_spread":0.2886064276246966,"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."}}