Twisted Fourier analysis and pseudo-probability distributions
arXiv:2004.13860
Abstract
We use a noncommutative generalization of Fourier analysis to define a broad class of pseudo-probability representations, which includes the known bosonic and discrete Wigner functions. We characterize the groups of quantum unitary operations which correspond to phase-space transformations, generalizing Gaussian and Clifford operations. As examples, we find Wigner representations for fermions, hard-core bosons, and angle-number systems.
arXiv commentIt has been specified that we are recovering Mukunda's Wigner function for angle-number system. There have been some typo corrections
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