Degeneracies of energy levels in the Kitaev quantum double model for arbitrary discrete group G and genus are expressed via S-matrix elements, giving the exact partition function for finite systems.
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Algorithms construct stabilizer models for boundaries and 0D defects in composite-dimensional twisted quantum double codes, with examples like Z4 double coupled to double semion phase and threshold comparisons to surface codes.
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Partition function of the Kitaev quantum double model
Degeneracies of energy levels in the Kitaev quantum double model for arbitrary discrete group G and genus are expressed via S-matrix elements, giving the exact partition function for finite systems.
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Composite-Dimensional Topological Codes with Boundaries and Defects
Algorithms construct stabilizer models for boundaries and 0D defects in composite-dimensional twisted quantum double codes, with examples like Z4 double coupled to double semion phase and threshold comparisons to surface codes.