Gaussian entanglement of symmetric two-mode Gaussian states
Abstract
A Gaussian degree of entanglement for a symmetric two-mode Gaussian state can be defined as its distance to the set of all separable two-mode Gaussian states. The principal property that enables us to evaluate both Bures distance and relative entropy between symmetric two-mode Gaussian states is the diagonalization of their covariance matrices under the same beam-splitter transformation. The multiplicativity property of the Uhlmann fidelity and the additivity of the relative entropy allow one to finally deal with a single-mode optimization problem in both cases. We find that only the Bures-distance Gaussian entanglement is consistent with the exact entanglement of formation.
Keywords
Cite
@article{arxiv.0711.3477,
title = {Gaussian entanglement of symmetric two-mode Gaussian states},
author = {Paulina Marian and Tudor A. Marian},
journal= {arXiv preprint arXiv:0711.3477},
year = {2009}
}
Comments
Submitted to European Physical Journal Special Topics as a contribution to CEWQO, Palermo 2007