{"total":10,"items":[{"citing_arxiv_id":"2605.21982","ref_index":75,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"On Matricial Order Operator Spaces","primary_cat":"math.FA","submitted_at":"2026-05-21T04:28:08+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Defines matricial order operator spaces and establishes duality between normality and generation properties, with examples including operator systems and Schatten spaces.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.09306","ref_index":167,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Weyl asymptotic formulas in the nilpotent Lie group 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mapping functions, with numerical tests on Lyapunov and Riccati equations.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2410.21998","ref_index":7,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Optimal convergence rates in trace distance and relative entropy for the quantum central limit theorem","primary_cat":"quant-ph","submitted_at":"2024-10-29T12:35:47+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Optimal O(n^{-1/2}) convergence in trace distance with third moments and O(n^{-1}) in relative entropy with fourth moments for the quantum CLT in m-mode bosonic systems.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2408.04894","ref_index":31,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"On generalization of Williamson's 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discrimination for correlation detection equals the doubly minimized Petz Renyi mutual information for alpha in (1/2,1), while the strong converse exponent equals the doubly minimized sandwiched version for alpha in (1,infty).","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2406.01699","ref_index":72,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Doubly minimized Petz and sandwiched Renyi mutual information: Properties","primary_cat":"quant-ph","submitted_at":"2024-06-03T18:01:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Proves additivity of doubly minimized Petz Renyi mutual information for alpha in [1/2,2] and a novel duality plus additivity for the sandwiched version for alpha in [2/3, infinity] via Sion's minimax 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