Relative Entropy of Entanglement for Two-Qubit State with $z$-directional Bloch Vectors

DaeKil Park

Relative Entropy of Entanglement for Two-Qubit State with $z$-directional Bloch Vectors

Quantum Physics 2011-02-07 v1

Authors: DaeKil Park

Abstract

So far there is no closed formula for relative entropy of entanglement of arbitrary two-qubit states. In this paper we present a method, which guarantees the derivation of the relative entropy of entanglement for most states that have $z$ -directional Bloch vectors. It is shown that the closest separable states for those states also have $z$ -directional Bloch vectors though there are few exceptions.

Keywords

relative entropy of entanglement two-qubit state Bloch vector closest separable state quantum entanglement

Cite

@article{arxiv.1005.4777,
  title  = {Relative Entropy of Entanglement for Two-Qubit State with $z$-directional Bloch Vectors},
  author = {DaeKil Park},
  journal= {arXiv preprint arXiv:1005.4777},
  year   = {2011}
}

Comments

12pages, no figure, will appear in IJQI

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