Reconstruction of photon distribution with positivity constraints

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An iterative algorithm for reconstructing the photon distribution from the random phase homodyne statistics is discussed. This method, derived from the maximum-likelihood approach, yields a positive definite estimate for the photon distribution with bounded statistical errors even if numerical compensation for the detector imperfection is applied.
6 pages, LaTeX. Submitted to Special Issue of Acta Physica Slovaca on Quantum Optics and Quantum Information

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