Maximum likelihood estimation of photon number distribution from homodyne statistics

Details Maximum likelihood estimation of photon number distribution from homodyne statistics Maximum likelihood estimation of photon number distribution from homodyne statistics

1997-12-20

arxiv.org/abs/physics/9712043v2

Phys. Rev. A 57, 5013-5015 (1998)

Physics

Optics

3 pages REVTeX. Final version, to appear in Phys. Rev. A as a Brief Report

Scientific paper

10.1103/PhysRevA.57.5013

We present a method for reconstructing the photon number distribution from the homodyne statistics based on maximization of the likelihood function derived from the exact statistical description of a homodyne experiment. This method incorporates in a natural way the physical constraints on the reconstructed quantities, and the compensation for the nonunit detection efficiency.

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