Calculating the Gaussian relative entropy of entanglement

Li-zhen Jiang; Liang-neng Wu; Yun Zhou

doi:10.1117/12.575432

11 January 2005 Calculating the Gaussian relative entropy of entanglement

Li-zhen Jiang, Liang-neng Wu, Yun Zhou

Proceedings Volume 5631, Quantum Optics and Applications in Computing and Communications II; (2005) https://doi.org/10.1117/12.575432
Event: Photonics Asia, 2004, Beijing, China

Abstract

We in this paper calculate the relative entropy between the bipartite Gaussian states. By evaluating the minimization of the relative entropy of an entangled Gaussian state with respect to the separable Gaussian states, we obtain the Gaussian relative entropy of entanglement of the state. The bipartite operations of squeezing and rotations on the separable states are also addressed. We prove that for bipartite symmetric Gaussian states the separable states we sought will be symmetric Gaussian states, and we get quite simple expressions of Gaussian relative entropy of entanglement for such states.

Citation Download Citation

Li-zhen Jiang, Liang-neng Wu, and Yun Zhou "Calculating the Gaussian relative entropy of entanglement", Proc. SPIE 5631, Quantum Optics and Applications in Computing and Communications II, (11 January 2005); https://doi.org/10.1117/12.575432

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