English

Geometry of quantum states: new construction of positive maps

Quantum Physics 2015-05-13 v1

Abstract

We provide a new class of positive maps in matrix algebras. The construction is based on the family of balls living in the space of density matrices of n-level quantum system. This class generalizes the celebrated Choi map and provide a wide family of entanglement witnesses which define a basic tool for analyzing quantum entanglement.

Keywords

Cite

@article{arxiv.0902.0885,
  title  = {Geometry of quantum states: new construction of positive maps},
  author = {Dariusz Chruscinski and Andrzej Kossakowski},
  journal= {arXiv preprint arXiv:0902.0885},
  year   = {2015}
}

Comments

11 pages