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_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)


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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