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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Coupling to mesoscopic reservoirs generates temperature-increasing entropic barriers that suppress topological defect creation and transport, yielding three-regime correlation lengths in 1D Ising chains and double error reduction in finite-size 2D toric 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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Entropic Barriers and the Kinetic Suppression of Topological Defects
Coupling to mesoscopic reservoirs generates temperature-increasing entropic barriers that suppress topological defect creation and transport, yielding three-regime correlation lengths in 1D Ising chains and double error reduction in finite-size 2D toric codes.