Schur multipliers and mixed unitary maps

DOI10.1063/1.5066242zbMath1404.81062arXiv1807.06491OpenAlexW3102978942MaRDI QIDQ4561702

Samuel J. Harris, Vern I. Paulsen, Rupert H. Levene, Sarah Plosker, Mizanur Rahaman

Publication date: 12 December 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.06491

Mathematics Subject Classification ID

Factorization of matrices (15A23) General theory of von Neumann algebras (46L10) Operator spaces and completely bounded maps (46L07) Quantum measurement theory, state operations, state preparations (81P15) Algebraic systems of matrices (15A30) Positive linear operators and order-bounded operators (47B65) Multilinear algebra, tensor calculus (15A69) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (2)

Unnamed Item ⋮ A graphical calculus for integration over random diagonal unitary matrices

Cites Work

• Factorization and dilation problems for completely positive maps on von Neumann algebras
• An asymptotic property of factorizable completely positive maps and the Connes embedding problem
• Matrices of unitary moments
• Bounds on the Distance Between a Unital Quantum Channel and the Convex Hull of Unitary Channels
• The Theory of Quantum Information
• Self-dual maps and symmetric bistochastic matrices

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