We present a numerical algorithm for the maximum-likelihood estimation of the density matrix, and apply it to the homodyne tomography of a single-mode radiation field. The algorithm is based on a specific form of the Gauss decomposition for positive definite Her- mitian matrices. Results from Monte Carlo simulated experiments are presented.
Reconstruction of the density matrix as a constrained optimization problem
1999
Abstract
We present a numerical algorithm for the maximum-likelihood estimation of the density matrix, and apply it to the homodyne tomography of a single-mode radiation field. The algorithm is based on a specific form of the Gauss decomposition for positive definite Her- mitian matrices. Results from Monte Carlo simulated experiments are presented.File in questo prodotto:
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