On equality of complete positivity and complete copositivity of positive map

Journal of Linear and Topological Algebra

دوره 11، شماره 02، شهریور 2022، صفحه 93-108   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.30495/jlta.2022.1949354.1458

نویسندگان

C. A. Winda^* ؛ N. B. Okelo؛ O. Ongati

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

چکیده

‎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.

کلیدواژه‌ها

2-positivity؛ Choi matrix؛ completely positivity

مراجع

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