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arXiv · 2004.13860

Twisted Fourier analysis and pseudo-probability distributions

Sang Jun Park·Cedric Beny·Hun Hee Lee
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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.

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Sang Jun Park, Cedric Beny, Hun Hee Lee. 2020-04-28. Twisted Fourier analysis and pseudo-probability distributions. https://arxiv.org/abs/2004.13860

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