Abstract
Quasiprobability distributions of the photon number and the momentum-like quadrature appropriate to partial symmetrizations of products of the photon-number and quadrature operators allowing these operators to alternate at most (2r-2) times are good approximations to the Wigner function for these simultaneously considered noncommuting quantities related to the fully symmetric ordering. It is shown that the r-parametrized quasiprobability distributions must take on values at multiples of 1/r. A scheme for simultaneous measurement of the photon number and the momentum-like quadrature is proposed. The r-parametrized quasidistributions can be compared with a joint distribution of the photon number and the momentum-like quadrature measured simultaneously.
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More From: Quantum and Semiclassical Optics: Journal of the European Optical Society Part B
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