Eigenvalue bounds on quasiprobability distributions and experimental tests of quantum mechanics

Abstract
Best possible upper and lower bounds, as defined by quantum mechanics through the Wigner function, are determined for the quasiprobability mass which can occur on any circular disk or annulus in the phase-plane of a 1-dimensional system in an arbitrary state. Violation of these bounds by experimentally measured quasiprobability distributions would signal deviations from quantum mechanics.

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