Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical properties of Pauli matrices going through noisy channels   We study the statistical properties of the triplet
$(\sigma_x,\sigma_y,\sigma_z)$ of Pauli matrices going through a sequence of
noisy channels, modeled by the repetition of a general, trace-preserving,
completely positive map. We show a non-commutative central limit theorem for
the distribution of this triplet, which shows up a 3-dimensional Brownian
motion in the limit with a non-trivial covariance matrix. We also prove a large
deviation principle associated to this convergence, with an explicit rate
function depending on the stationary state of the noisy channel.

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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th