Generalizing Choi map in M₃ beyond circulant scenario

2022/12/07 by Anindita Bera, Giovanni Scala, Bera, Anindita +5 · 1 citation
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2212.03807

openalex publication_date 2022/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a generalization of the family of linear positive maps in M₃ proposed thirty years ago by Cho et al. (Linear Algebra Appl. \bf 171, 213 (1992)) as a generalization of the seminal Choi non-decomposable map. The necessary and sufficient conditions for decomposability are provided.

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• Optimality of generalized Choi maps in M₃

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