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arXiv:1610.01895 · Electronic Journal of Statistics

Bayesian nonparametric estimation for Quantum Homodyne Tomography

Zacharie Naulet, Éric Barat

Published Jan 1, 2017• 2 citations
arXivHTMLPDF

Abstract

We estimate the quantum state of a light beam from results of quantum homodyne tomography noisy measurements performed on identically prepared quantum systems. We propose two Bayesian nonparametric approaches. The first approach is based on mixture models and is illustrated through simulation examples. The second approach is based on random basis expansions. We study the theoretical performance of the second approach by quantifying the rate of contraction of the posterior distribution around the true quantum state in the $L^{2}$ metric.

DOI
10.1214/17-ejs1322

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