Abstract
Shannon entropy and information are applied to study the properties of quantum states of a system in the probability representation of quantum mechanics. Examples of spin states and mixed Gaussian states of the two-mode system are considered. The relationship between the new entropy and the von Neumann entropy is reviewed. Two tomographic maps are considered within the framework of the star-product quantization. The explicit expression of tomographic entropy associated with photon-number tomogram of the two-mode state of photons is obtained in terms of Hermite polynomials of four variables.
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Based on a contribution to the International Conference “New Trends in Quantum Mechanics. Fundamental Aspects and Applications” (Palermo, Italy, November 2005).
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Man’ko, O.V. On entropy and information of quantum states. J Russ Laser Res 28, 125–135 (2007). https://doi.org/10.1007/s10946-007-0006-7
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DOI: https://doi.org/10.1007/s10946-007-0006-7