Concurrence as a Relative Entropy with Hilbert-Schmidt Distance in Bell Decomposable States
Quantum Physics
2007-05-23 v1
Abstract
Hilbert-Schmidt distance reduces to Euclidean distance in Bell decomposable states. Based on this, entanglement of these states are obtained according to the protocol proposed in Ref. [V. Vedral et al, Phys. Rev. Lett. 78, 2275 (1995)] with Hilbert-Schmidt distance. It is shown that this measure is equal to the concurrence and thus can be used to generate entanglement of formation. We also introduce a new measure of distance and show that under the action of restricted LQCC operations, the associated measure of entanglement transforms in the same way as the concurrence transforms .
Keywords
Cite
@article{arxiv.quant-ph/0208001,
title = {Concurrence as a Relative Entropy with Hilbert-Schmidt Distance in Bell Decomposable States},
author = {S. J. Akhtarshenas and M. A. Jafarizadeh},
journal= {arXiv preprint arXiv:quant-ph/0208001},
year = {2007}
}
Comments
14 pages, Latex