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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