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A Robust Semidefinite Programming Approach to the Separability Problem

Quantum Physics 2007-05-23 v2

Abstract

We express the optimization of entanglement witnesses for arbitrary bipartite states in terms of a class of convex optimization problems known as Robust Semidefinite Programs (RSDP). We propose, using well known properties of RSDP, several new sufficient tests for the separability of mixed states. Our results are then generalized to multipartite density operators.

Keywords

Cite

@article{arxiv.quant-ph/0405008,
  title  = {A Robust Semidefinite Programming Approach to the Separability Problem},
  author = {Fernando. G. S. L. Brandao and Reinaldo O. Vianna},
  journal= {arXiv preprint arXiv:quant-ph/0405008},
  year   = {2007}
}

Comments

Revised version (minor spell corrections) . 6 pages; submitted to Physical Review A