Transversal gates and error propagation in 3D topological codes

2018/10/22 by Héctor Bombín, Hector Bombin, Bombin, Hector · 5 citations
Computer Science · Engineering · Materials Science · Physics and Astronomy · #Advanced Data Storage Technologies #Copper Interconnects and Reliability #Semiconductor materials and devices #quant-ph

paper · pdf · doi:10.48550/arxiv.1810.09575

arxiv created 2018/10/22 · arxiv updated 2018/10/24

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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