PIRSA:18100046 Scientific Series Quantum Information

DOI10.48660/18100046

Series: Perimeter Institute Quantum Discussions

(2018). Fault-tolerant gates via homological product codes. Perimeter Institute. https://pirsa.org/18100046

Fault-tolerant gates via homological product codes. Perimeter Institute, Oct. 03, 2018, https://pirsa.org/18100046 

@misc{ pirsa_PIRSA:18100046,
  doi = {10.48660/18100046},
  url = {https://pirsa.org/18100046},
  author = {},
  keywords = {Quantum Information},
  language = {en},
  title = {Fault-tolerant gates via homological product codes},
  publisher = {Perimeter Institute},
  year = {2018},
  month = {oct},
  note = {PIRSA:18100046 see, \url{https://pirsa.org}}
}

Abstract

I will present a method for the implementation of a universal set of fault-tolerant logical gates using homological product codes. In particular, I will show how one can fault-tolerantly map between different encoded representations of a given logical state, enabling the application of different classes of transversal gates belonging to the underlying quantum codes. This allows for the circumvention of no-go results pertaining to universal sets of transversal gates and provides a general scheme for fault-tolerant computation while keeping the stabilizer generators of the code sparse.

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