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Commuting Kraus operators are normal (2308.05450v1)
Published 10 Aug 2023 in math-ph, math.MP, and math.RA
Abstract: Let ${V_1, \dots, V_n }$ be a set of mutually commuting matrices. We show that if $V_1* V_1 + \cdots +V_n* V_n = {\rm Id}$ then the matrices are normal and, in particular, simultaneously diagonalizable.