PIRSA:18100046

Fault-tolerant gates via homological product codes

(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}}
          }
Talk number
PIRSA:18100046
Collection
Talk Type
Subject
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.