Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recursive encoding and decoding of the noiseless subsystem for qudits   We give a full explanation of the noiseless subsystem that protects a
single-qubit against collective errors and the corresponding recursive scheme
described by C.-K. Li et. al. [Phys. Rev. A 84, 044301 (2011)] from a
representation theory point of view. Furthermore, we extend the construction to
qudits under the influence of collective SU($d$) errors. We find that under
this recursive scheme, the asymptotic encoding rate is $1/d$.

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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th