Sampling of quasidistributions, nonclassical behavior and negative probabilities

Abstract We perform a sampling of the quasidistribution for the process of optical down-conversion in nonclassical regime, in which negativevalues of the quasidistribution are exhibited, using the Shannon–Kotelnikov sampling formula. We show that negativevalues of the quasidistribution do not directly represent probabilities, however, negativeterms in the sampling formula related to the nonclassical behavior can be interpreted as positive probabilities in the negativeorthogonal sinc-basis, whereas positive probabilities in the positive sinc-basis describe classical cases.