A class of generalized positive linear maps on matrix algebras

Abstract

We construct a class of positive linear maps on matrix algebras. We find conditions when these maps are atomic, decomposable and completely positive. We obtain a large class of atomic positive linear maps. As applications in quantum information theory, we discuss the structural physical approximation and optimality of entanglement witness associated with these maps.

References in corpus (4)

• Positive finite rank elementary operators and characterizing entanglement of states
• A class of positive atomic maps
• Criteria and new classes of k-positive maps
• Separable states and the SPA of a positive map

Cited by in corpus (3)

• Entanglement witnesses: construction, analysis and classification
• On the extreme rays of the cone of $3\times 3$ quasiconvex quadratic forms: Extremal determinats vs extremal and polyconvex forms
• New examples of extremal positive linear maps