PIRSA:22030035

Fold-Transversal Clifford Gates for Quantum Codes

APA

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

MLA

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

BibTex

          @misc{ 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 (UCL)

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.

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