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• W2017646044 abstract "The H-unistochastic matrices are a special class of symmetric bistochastic matrices obtained by taking the square of the absolute value of each entry of a Hermitian unitary matrix. We examine the geometric relationship of the convex hull of the n by n H-unistochastic matrices relative to the larger convex set of n by n symmetric bistochastic matrices. We show that any line segment in the convex set of the n by n symmetric bistochastic matrices which passes through the centroid of this convex set must spend at least two-thirds of its length in the convex hull of the n by n H-unistochastic matrices when n is either three or four and we prove a partial result for higher n. A class of completely positive linear maps, called the self-dual doubly stochastic maps, is useful for studying this problem. Some results on self-dual doubly stochastic maps are given including a self-dual version of the Laudau–Streater theorem." @default.
• W2017646044 created "2016-06-24" @default.
• W2017646044 creator A5020542905 @default.
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• W2017646044 date "2013-01-01" @default.
• W2017646044 modified "2023-10-16" @default.
• W2017646044 title "Self-dual maps and symmetric bistochastic matrices" @default.
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• W2017646044 doi "https://doi.org/10.1080/03081087.2012.661427" @default.
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