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Quantum Error Correction Fault Tolerance Topological Quantum Computing

Transversal gates and error propagation in 3D topological codes

arXiv
Authors: Hector Bombin

Year

2018

Paper ID

23881

Status

Preprint

Abstract Read

~2 min

Abstract Words

58

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
  • It adds a 2018 reference point for readers tracking recent quantum research.
  • I study the interplay of errors with transversal gates in 3D color codes, and introduce some new such gates.

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