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Quasiprobability distribution functions from fractional Fourier transforms (1902.06031v1)
Published 16 Feb 2019 in quant-ph
Abstract: We show, in a formal way, how a class of complex quasiprobability distribution functions may be introduced by using the fractional Fourier transform. This leads to the Fresnel transform of a characteristic function instead of the usual Fourier transform. We end the manuscript by showing a way in which the distribution we are introducing may be reconstructed by using atom-field interactions.
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