Completely Positive Map from M4(C) to M5(C) on Positive Semidefinite Matrices

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Journal of Mathematical Analysis and Modeling

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Positive Maps Are Essential In the Description of Quantum Systems. However, Characterization Of The Structure Of The Set Of All Positive Maps Is A Challenge In Mathematics And Mathematical Physics. We Construct A Linear Positive Map From M4 To M5 And State The Conditions Under Which They Are Positive And Completely Positive (Copositivity Of Positive).

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Positive Maps, 2-Positivity, Choi Matrix, Completely Positivity, Decomposable Maps, 2010 MSC:Put Your Mathematics Subject Classification 2010 (MSC) 47B65, 15A60, 15A63, 15B48.

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