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arXiv:quant-ph/0108050 · Physical Review A

Existence of the Wigner function with correct marginal distributions along tilted lines on a lattice

M. Horibe, Akiyoshi Takami, T. Hashimoto, A. Hayashi

Published Feb 4, 2002• 15 citations
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Abstract

For the Wigner function of a system in N-dimensional Hilbert space, we propose the condition, which ensures that the Wigner function has correct marginal distributions along tilted lines. Under this condition we get the Wigner function without ambiguity if N is odd. If N is even, the Wigner function does not exist.
DOI
10.1103/physreva.65.032105

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