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Journal of Physics A Mathematical and Theoretical

Optimality of generalized Choi maps in M 3

Giovanni Scala, Anindita Bera, Gniewomir Sarbicki, Dariusz Chruściński

Published Apr 9, 2024• 2 citations
Publisher

Abstract

Abstract A family of linear positive maps in the algebra of 3 × 3 complex matrices proposed recently by Bera et al 2024 Linear and Multilinear Algebra 1–16) is further analyzed. It provides a generalization of a seminal Choi nondecomposable extremal map in M 3 . We investigate when generalized Choi maps are optimal, i.e. cannot be represented as a sum of positive and completely positive maps. This property is weaker than extremality, however, it turns out that it plays a key role in detecting quantum entanglement.

DOI
10.1088/1751-8121/ad3ca6

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