On vector configurations that can be realized in the cone of positive matrices

DOI10.1016/j.laa.2014.07.017zbMath1309.15049arXiv1004.0686OpenAlexW1985397771MaRDI QIDQ401210

Péter E. Frenkel, Mihály Weiner

Publication date: 26 August 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0686

zbMATH Keywords

von Neumann algebratracecone of positive semidefinite matricesvector configuration

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

Conic Approach to Quantum Graph Parameters Using Linear Optimization Over the Completely Positive Semidefinite Cone, Quantum Bilinear Optimization, Matrices with high completely positive semidefinite rank, Approximate completely positive semidefinite factorizations and their ranks, Self-Dual Polyhedral Cones and Their Slack Matrices, Classical information storage in an \(n\)-level quantum system, Positively factorizable maps, Completely positive semidefinite rank, Positive semidefinite rank

Cites Work

• A linearization of Connes' embedding problem
• Nonnegative factorization of completely positive matrices
• Nonnegative factorization of positive semidefinite nonnegative matrices
• The maximal cp-rank of rank \(k\) completely positive matrices
• Connes' embedding conjecture and sums of Hermitian squares
• Hilbert–Schmidt volume of the set of mixed quantum states
• Mutually Unbiased Bases and the Complementarity Polytope
• A noncommutative moment problem
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