Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Locality-Preserving Logical Operators in Topological Stabiliser Codes   Locality-preserving logical operators in topological codes are naturally
fault-tolerant, since they preserve the correctability of local errors. Using a
correspondence between such operators and gapped domain walls, we describe a
procedure for finding all locality-preserving logical operators admitted by a
large and important class of topological stabiliser codes. In particular, we
focus on those equivalent to a stack of a finite number of surface codes of any
spatial dimension, where our procedure fully specifies the group of
locality-preserving logical operators. We also present examples of how our
procedure applies to codes with different boundary conditions, including colour
codes and toric codes, as well as more general codes such as abelian quantum
double models and codes with fermionic excitations in more than two dimensions.

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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: math
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom