Document Type : Research Paper

Authors

Department of Pure and Applied Mathematics‎, ‎Jaramogi Oginga Odinga University of Science and Technology‎, ‎Kenya

Abstract

‎In this paper we construct a $2$-positive map from $\ma_4(\Complex)$ to $\ma_5(\Complex)$ and state the conditions under which the map is positive and completely positive (copositivity of positive)‎. ‎The construction allows us to create a decomposable map, where the Choi matrix of complete positivity is equal to the Choi matrix of complete copositivity‎.

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