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Tensor powers of 2-positive maps

2010/10/01 by Erling Størmer
Mathematics · Computer Science · Physics and Astronomy · #Advanced Topics in Algebra #Quantum Information and Cryptography #Noncommutative and Quantum Gravity Theories

paper · doi:10.1063/1.3497628

Abstract

By studying tensor powers ϕ⊗n of a positive map ϕ of B(K) into B(H) for finite dimensional Hilbert spaces K and H, we give conditions for a map ϕ, such that ϕ⊗n 2-positive for all n to be nondistillable and completely positive.

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