Photon-Number Tomography of Multimode States and Positivity of the Density Matrix

@article{Manko2003PhotonNumberTO,
  title={Photon-Number Tomography of Multimode States and Positivity of the Density Matrix},
  author={Olga V. Man'ko and Vladimir I. Man'ko},
  journal={Journal of Russian Laser Research},
  year={2003},
  volume={24},
  pages={497-506}
}
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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