Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayesian nonparametric estimation for Quantum Homodyne Tomography   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.

18
The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex