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arXiv · 0909.2746

Probability representation and quantumness tests for qudits and two-mode light states

S. N. Filippov·V. I. Man'ko
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Abstract

Using tomographic-probability representation of spin states, quantum behavior of qudits is examined. For a general j-qudit state we propose an explicit formula of quantumness witnetness whose negative average value is incompatible with classical statistical model. Probability representations of quantum and classical (2j+1)-level systems are compared within the framework of quantumness tests. Trough employing Jordan-Schwinger map the method is extended to check quantumness of two-mode light states.

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S. N. Filippov, V. I. Man'ko. 2009-09-15. Probability representation and quantumness tests for qudits and two-mode light states. https://doi.org/10.1007/s10946-009-9099-5

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