Photon number and optical tomograms for Gaussian states
arXiv:1903.02304 · doi:10.1134/S1054660X09150286
Abstract
A review of probability representation of quantum states in given for optical and photon number tomography approaches. Explicit connection of photon number tomogram with measurable by homodyne detector optical tomogram is obtained. New integral relations connecting Hermite polynomials of two variables with Laguerre polynomials are found. Examples of generic Gaussian photon states (squeezed and correlated states) are studied in detail.
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Cited by in corpus (5)
- Coherent states of parametric oscillators in the probability representation of quantum mechanics
- Multi-mode Gaussian State Analysis with Total Photon Counting
- Probability representation of photon states and tomography
- Gaussian approximation and its corrections for driven dissipative Kerr model
- Multi-mode Gaussian State Analysis with one Bounded Photon Counter