Abstract
We introduce a new kind of three-mode coherent-entangled state (CES) |x,β1,β2〉, which has both properties of the coherent state and the entangled state. We derive it by virtue of decomposing normally ordered Gaussian operator integrand. An experiment setup to produce the ideal coherent-entangled state is presented. The corresponding Wigner operator and squeezing operator in terms of CES are also given.
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