PIRSA:14070012

Gauge color codes

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

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

          @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}}
          }

Hector Bombin PsiQuantum Corp.

DOI 10.48660/14070012
Collection
Talk Type Conference

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.