English

Generalizing Choi map in $M_3$ beyond circulant scenario

Quantum Physics 2022-12-08 v1 Mathematical Physics math.MP

Abstract

We present a generalization of the family of linear positive maps in M3M_3 proposed thirty years ago by Cho et al. (Linear Algebra Appl. 171{\bf 171}, 213 (1992)) as a generalization of the seminal Choi non-decomposable map. The necessary and sufficient conditions for decomposability are provided.

Cite

@article{arxiv.2212.03807,
  title  = {Generalizing Choi map in $M_3$ beyond circulant scenario},
  author = {Anindita Bera and Giovanni Scala and Gniewomir Sarbicki and Dariusz Chruściński},
  journal= {arXiv preprint arXiv:2212.03807},
  year   = {2022}
}

Comments

12 pages, 1 figure, comments are welcome

R2 v1 2026-06-28T07:25:00.891Z