PIRSA:25110108 Scientific Series Quantum Information

DOI10.48660/25110108

Series: Quantum Information

Manjunath, N. (2025). Universal quantum computation with group surface codes. Perimeter Institute. https://pirsa.org/25110108

Manjunath, Naren. Universal quantum computation with group surface codes. Perimeter Institute, Nov. 26, 2025, https://pirsa.org/25110108 

@misc{ pirsa_PIRSA:25110108,
  doi = {10.48660/25110108},
  url = {https://pirsa.org/25110108},
  author = {Manjunath, Naren},
  keywords = {Quantum Information},
  language = {en},
  title = {Universal quantum computation with group surface codes},
  publisher = {Perimeter Institute},
  year = {2025},
  month = {nov},
  note = {PIRSA:25110108 see, \url{https://pirsa.org}}
}

Abstract

Surface codes are a basic ingredient in topological quantum computation, but do not admit a universal set of topologically protected gates. In this talk I introduce group surface codes, which generalize the usual Z2 surface code to non-Abelian finite groups G. By identifying a simple labelling of the logical states, I will show that these codes admit transversal non-Clifford gates for suitable choices of G. I then discuss how to switch between Z2 and non-Abelian group surface codes to complete a universal gate set. This talk is based on work in preparation with Vieri Mattei, Apoorv Tiwari, and Tyler Ellison.

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