Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pauli stabilizer models of twisted quantum doubles   We construct a Pauli stabilizer model for every two-dimensional Abelian
topological order that admits a gapped boundary. Our primary example is a Pauli
stabilizer model on four-dimensional qudits that belongs to the double semion
(DS) phase of matter. The DS stabilizer Hamiltonian is constructed by
condensing an emergent boson in a $\mathbb{Z}_4$ toric code, where the
condensation is implemented by making certain two-body measurements. We
rigorously verify the topological order of the DS stabilizer model by
identifying an explicit finite-depth quantum circuit (with ancillary qubits)
that maps its ground state subspace to that of a DS string-net model. We show
that the construction of the DS stabilizer Hamiltonian generalizes to all
twisted quantum doubles (TQDs) with Abelian anyons. This yields a Pauli
stabilizer code on composite-dimensional qudits for each such TQD, implying
that the classification of topological Pauli stabilizer codes extends well
beyond stacks of toric codes - in fact, exhausting all Abelian anyon theories
that admit a gapped boundary. We also demonstrate that symmetry-protected
topological phases of matter characterized by type I and type II cocycles can
be modeled by Pauli stabilizer Hamiltonians by gauging certain 1-form
symmetries of the TQD stabilizer models.

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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph