Title of article :
On equality of complete positivity and complete copositivity of positive map
Author/Authors :
Winda ، C. A. Department of Pure and Applied Mathematics - Jaramogi Oginga Odinga University of Science and Technology , Okelo ، N. B. Department of Pure and Applied Mathematics - Jaramogi Oginga Odinga University of Science and Technology , Ongati ، O. Department of Pure and Applied Mathematics - Jaramogi Oginga Odinga University of Science and Technology
Abstract :
In this paper we construct a 2-positive map fromM4(C) toM5(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.
Keywords :
2 , positivity , Choi matrix , completely positivity
Journal title :
Journal of Linear and Topological Algebra
Journal title :
Journal of Linear and Topological Algebra
