document: Operational phase-space probability distribution in quantum communication theory Operational phase-space probability distributions are useful tools for describing quantum mechanical systems , including quantum communication and quantum information processing systems . It is shown that quantum communication channels with Gaussian noise and quantum teleportation of continuous variables are described by operational phase-space probability distributions . The relation of operational phase-space probability distribution to the extended phase-space formalism proposed by Chountasis and Vourdas -LRB- 1998 -RRB- is discussed
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