Abstract
Three different representations of R-function distribution are deduced for a given density operator of light field in terms of Q-function, Wigner function and positive P-representation, respectively. Furthermore, the τ-parameterized quantization scheme is proposed, where the P-representation, Weyl correspondence, and Q-function are as its special cases. As applications, the photon-count distribution from R-function and the nonclassical depth of photon-added coherent state are examined.
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