Gaussian entanglement of symmetric two-mode Gaussian states
arXiv:0711.3477 · doi:10.1140/epjst/e2008-00731-x
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.
arXiv commentSubmitted to European Physical Journal Special Topics as a contribution to CEWQO, Palermo 2007
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- Entanglement of formation for an arbitrary two-mode Gaussian state
- Measures of non-Gaussianity for one-mode field states
- Renyi relative entropies of quantum Gaussian states
- Gaussification through decoherence
- Mixedness and entanglement for two-mode Gaussian states
- EPR steering in symmetrical Gaussian states