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Transversal gates and error propagation in 3D topological codes

Published 22 Oct 2018 in quant-ph | (1810.09575v1)

Abstract: I study the interplay of errors with transversal gates in 3D color codes, and introduce some new such gates. Two features of the transversal T gate stand out: (i) it naturally defines a set of correctable errors, and (ii) it exhibits a `linking charge' phenomenon that is of interest for a wide class of 3D topologically ordered systems.

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