Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological qubits from valence bond solids   Topological qubits based on $SU(N)$-symmetric valence-bond solid models are
constructed. A logical topological qubit is the ground subspace with two-fold
degeneracy, which is due to the spontaneous breaking of a global parity
symmetry. A logical $Z$-rotation by angle $\frac{2\pi}{N}$, for any integer $N
> 2$, is provided by a global twist operation, which is of topological nature
and protected by the energy gap. A general concatenation scheme with standard
quantum error-correction codes is also proposed, which can lead to better
codes. Generic error-correction properties of symmetry-protected topological
order are also demonstrated.

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The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th