PIRSA:22030035

Fold-Transversal Clifford Gates for Quantum Codes

Breuckmann, N. (2022). Fold-Transversal Clifford Gates for Quantum Codes. Perimeter Institute. https://pirsa.org/22030035

Breuckmann, Nikolas. Fold-Transversal Clifford Gates for Quantum Codes. Perimeter Institute, Mar. 23, 2022, https://pirsa.org/22030035 

          @misc{ pirsa_PIRSA:22030035,
            doi = {10.48660/22030035},
            url = {https://pirsa.org/22030035},
            author = {Breuckmann, Nikolas},
            keywords = {Quantum Information},
            language = {en},
            title = {Fold-Transversal Clifford Gates for Quantum Codes},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {mar},
            note = {PIRSA:22030035 see, \url{https://pirsa.org}}
          }

Nikolas Breuckmann

University College London

Talk number
PIRSA:22030035
Collection
Talk Type
Subject
Abstract

We generalize the concept of folding from surface codes to CSS codes by considering certain dualities within them. In particular, this gives a general method to implement logical operations in suitable LDPC quantum codes using transversal gates and qubit permutations only. To demonstrate our approach, we specifically consider a [[30, 8, 3]] hyperbolic quantum code called Bring's code. Further, we show that by restricting the logical subspace of Bring's code to four qubits, we can obtain the full Clifford group on that subspace.

Zoom Link: https://pitp.zoom.us/j/94852018243?pwd=RmFHM1QyNS9CK0RMRm5yUEt0MzdSZz09