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Degradable Strongly Entanglement Breaking Maps

Operator Algebras 2024-10-08 v2 Functional Analysis Quantum Physics

Abstract

In this paper, we provide a structure theorem and various characterizations of degradable strongly entanglement breaking maps on separable Hilbert spaces. In the finite dimensional case, we prove that unital degradable entanglement breaking maps are precisely the CC^*-extreme points of the convex set of unital entanglement breaking maps on matrix algebras. Consequently, we get a structure for unital degradable positive partial transpose (PPT-) maps.

Keywords

Cite

@article{arxiv.2304.00309,
  title  = {Degradable Strongly Entanglement Breaking Maps},
  author = {Repana Devendra and Gunjan sapra and K. Sumesh},
  journal= {arXiv preprint arXiv:2304.00309},
  year   = {2024}
}

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