English

Decrease of entanglement by local operations in the D\"ur-Cirac method

Quantum Physics 2007-05-23 v1

Abstract

One cannot always obtain information about entanglement by the D\"ur-Cirac (DC) method. The impracticality is attributed to the decrease of entanglement by local operations in the DC method. We show that, even in 2--qubit systems, there exist states whose entangled property the DC method never evaluates. The class of such states in 2--qubit systems is completely characterized by the value of the fully entangled fraction. Actually, a state whose fully entangled fraction is less than or equal to 1/2 is always transformed into a separable state by local operations in the DC method, even if it has negative partial transposition.

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Cite

@article{arxiv.0704.1375,
  title  = {Decrease of entanglement by local operations in the D\"ur-Cirac method},
  author = {Yukihiro Ota and Motoyuki Yoshida and Ichiro Ohba},
  journal= {arXiv preprint arXiv:0704.1375},
  year   = {2007}
}

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5 pages