Relative entropy as a measure of entanglement for Gaussian states
Lu Huai-Xin(逯怀新)a)b)c)† and Zhao Bo(赵博)b)
a Department of Physics, Weifang University, Weifang 261061, Chinab Physikalisches Institut, Universit?t Heidelberg, Philosophenweg 12 69120 Heidelberg, Germanyc Department of Physics, Qufu Normal University, Qufu 273165, China
Abstract In this paper, we derive an explicit analytic expression of the relative entropy between two general Gaussian states. In the restriction of the set for Gaussian states and with the help of relative entropy formula and Peres--Simon separability criterion, one can conveniently obtain the relative entropy entanglement for Gaussian states. As an example, the relative entanglement for a two-mode squeezed thermal state has been obtained.
Received: 12 May 2006
Revised: 17 May 2006
Accepted manuscript online:
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