Abstract
For one-mode and multimode light, the photon-number tomograms of Gaussian quantum states are explicitly calculated in terms of multivariable Hermite polynomials. Positivity of the tomograms is shown to be a necessary condition for positivity of the density matrix.
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Man'ko, O., Man'ko, V.I. Photon-Number Tomography of Multimode States and Positivity of the Density Matrix. Journal of Russian Laser Research 24, 497–506 (2003). https://doi.org/10.1023/A:1025876210639
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DOI: https://doi.org/10.1023/A:1025876210639