PIRSA:24050044 Conference Quantum Information

DOI10.48660/24050044

Conference/School: Physics of Quantum Information

Davydova, M. (2024). Universal quantum computation in two dimensions by converting between the toric code and a non-abelian quantum double. Perimeter Institute. https://pirsa.org/24050044

Davydova, Margarita. Universal quantum computation in two dimensions by converting between the toric code and a non-abelian quantum double. Perimeter Institute, May. 31, 2024, https://pirsa.org/24050044 

@misc{ pirsa_PIRSA:24050044,
  doi = {10.48660/24050044},
  url = {https://pirsa.org/24050044},
  author = {Davydova, Margarita},
  keywords = {Quantum Information},
  language = {en},
  title = {Universal quantum computation in two dimensions by converting between the toric code and a non-abelian quantum double},
  publisher = {Perimeter Institute},
  year = {2024},
  month = {may},
  note = {PIRSA:24050044 see, \url{https://pirsa.org}}
}

Abstract

In this talk, I will explain how to implement fault-tolerant non-Clifford gates in copies of toric code in two dimensions achieved by transiently switching to a non-Abelian topologically ordered phase by expanding earlier results by Bombin [arXiv.1810.09571] and Brown [SciAdv.aay4929]. This addresses the challenge of performing universal fault-tolerant quantum computation in purely two spatial dimensions and shows a new approach to quantum computation using non-Abelian phases. This talk is based on upcoming work in collaboration with A. Bauer, B.Brown, J. Magdalena de la Fuente, M. Webster and D. Williamson.

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