PIRSA:25110108

Universal quantum computation with group surface codes

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}}
          }

Naren Manjunath Perimeter Institute for Theoretical Physics

Talk numberPIRSA:25110108
DOI10.48660/25110108
Collection
Talk Type Scientific Series
Subject

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.