APA

Bombin, H. (2014). Gauge color codes. Perimeter Institute. https://pirsa.org/14070012

MLA

Bombin, Hector. Gauge color codes. Perimeter Institute, Jul. 16, 2014, https://pirsa.org/14070012

BibTex

@misc{ pirsa_PIRSA:14070012,
  doi = {10.48660/14070012},
  url = {https://pirsa.org/14070012},
  author = {Bombin, Hector},
  keywords = {},
  language = {en},
  title = {Gauge color codes},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {jul},
  note = {PIRSA:14070012 see, \url{https://pirsa.org}}
}
            

Abstract

I will describe a new class of topological quantum error correcting codes with surprising features. The constructions is based on color codes: it preserves their unusual transversality properties but removes important drawbacks. In 3D, the new codes allow the effectively transversal implementation of a universal set of gates by gauge fixing, while error-dectecting measurements involve only 4 or 6 qubits. Furthermore, they do not require multiple rounds of error detection to achieve fault-tolerance.

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