Abstract
Using the tomographic-probability representation of spin states, the quantum behavior of qudits is examined. For a general j-qudit state, we propose an explicit formula for quantumness witness whose negative average value is incompatible with classical statistical model. The probability representations of quantum and classical (2j + 1)-level systems are compared within the framework of quantumness tests. In view of the Jordan–Schwinger map, the method is extended for checking the quantumness of two-mode light states.
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Filippov, S.N., Man’ko, V.I. Probability representation and quantumness tests for qudits and two-mode light states. J Russ Laser Res 30, 443–450 (2009). https://doi.org/10.1007/s10946-009-9099-5
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DOI: https://doi.org/10.1007/s10946-009-9099-5