English

Concurrence in arbitrary dimensions

Quantum Physics 2009-11-07 v1

Abstract

We argue that a complete characterisation of quantum correlations in bipartite systems of many dimensions may require a quantity which, even for pure states, does not reduce to a single number. Subsequently, we introduce multi-dimensional generalizations of concurrence and find evidence that they may provide useful tools for the analysis of quantum correlations in mixed bipartite states. We also introudce {\it biconcurrence} that leads to a necessary and sufficient condition for separability.

Keywords

Cite

@article{arxiv.quant-ph/0107147,
  title  = {Concurrence in arbitrary dimensions},
  author = {Piotr Badziag and Piotr Deuar and Michal Horodecki and Pawel Horodecki and Ryszard Horodecki},
  journal= {arXiv preprint arXiv:quant-ph/0107147},
  year   = {2009}
}

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RevTeX 7 pages