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Photon-Number Tomography of Multimode States and Positivity of the Density Matrix |
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| Authors: | Olga Man'ko V I Man'ko |
| Institution: | (1) P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Pr. 53, Moscow, 119991, Russia |
| 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. |
| Keywords: | photon statistics photon-number tomography tomograms Hermite polynomials density matrix squeezed states |
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