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Simultaneous amplitude and phase damping of a kind of Gaussian states and their separability

Xiao-Yu Chen
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Abstract

We give out the time evolution solution of simultaneous amplitude and phase damping for any continuous variable state. For the simultaneous amplitude and phase damping of a wide class of two- mode entangled Gaussian states, two analytical conditions of the separability are given. One is the sufficient condition of separability. The other is the condition of PPT separability where the Peres-Horodecki criterion is applied. Between the two conditions there may exist bound entanglement. The simplest example is the simultaneous amplitude and phase damping of a two-mode squeezed vacuum state. The damped state is non-Gaussian.

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Xiao-Yu Chen. 2005-12-16. Simultaneous amplitude and phase damping of a kind of Gaussian states and their separability. https://doi.org/10.1103/physreva.73.022307

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