On equality of complete positivity and complete copositivity of positive map
محورهای موضوعی : Operator theory
C. A. Winda
1
,
N. B. Okelo
2
,
O. Ongati
3
1 - Department of Pure and Applied Mathematics, Jaramogi Oginga Odinga University of Science and Technology, Kenya
2 - Department of Pure and Applied Mathematics, Jaramogi Oginga Odinga University of Science and Technology, Kenya
3 - Department of Pure and Applied Mathematics, Jaramogi Oginga Odinga University of Science and Technology, Kenya
کلید واژه: 2-positivity, Choi matrix, completely positivity,
چکیده مقاله :
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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