On Equality of Complete Positivity and Complete Copositivity of Positive Map
Publication Date
5/30/2022Author
Windaa, C. A.
Okelo, N. B.
Ongatia, Omollo
Type
ArticleMetadata
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Abstract/ Overview
In this paper we construct a 2-positive map from M4(C) to M5(C) 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.