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We introduce a family of positive linear maps in the algebra of 3×3 complex matrices, which generalizes the seminal positive non-decomposable map originally proposed by Choi. Necessary and sufficient conditions for decomposability are derived and demonstrated. Specifically, the proposed maps evolve the circulant structure with three parameters into a doubly stochastic structure with five parameters.
Bera et al. (Mon,) studied this question.
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