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We introduce a quantitative measure of nonclassical behavior based on negative regions of quasiprobability distributions. Zeros of the antinormal ordered phase-space representation characterize a state to be maximally nonclassical with respect to this measure. All pure states of a particle or of a single field mode, except those with Gaussian quasiprobability distributions, have one or more zeros in this representation.
Lütkenhaus et al. (1995) studied this question.