Calin Ambrozie, Aurelian Gheondea: Interpolation for Completely Positive Maps: Numerical Solutions, 13-22

Abstract:

We present a few techniques to find completely positive maps between full matrix algebras taking prescribed values on given data, based on semidefinite programming, convex minimization supported by a numerical example, as well as representations by linear functionals. The particular case of commutative data is also discussed.

Key Words: Completely positive, interpolation, Choi matrix, quantum channel, semidefinite programming, convex minimization.

2010 Mathematics Subject Classification: 15B48, 15A72, 65K15, 81P45

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