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Reconstruction of photon distribution with positivity constraints

Konrad Banaszek

quant-pharXiv:quant-ph/9804050

Abstract

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.

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