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- W3121234320 abstract "A fundamental question in the theory of quantum computation is to understand the ultimate space-time resource costs for performing a universal set of logical quantum gates to arbitrary precision. Here we demonstrate that non-Abelian anyons in Turaev-Viro quantum error correcting codes can be moved over a distance of order the code distance, and thus braided, by a constant depth local unitary quantum circuit followed by a permutation of qubits. Our gates are protected in the sense that the length of error strings do not grow by more than a constant factor. When applied to the Fibonacci surface code, our results demonstrate that a universal logical gate set can be implemented on encoded qubits through a constant depth unitary quantum circuit, and without increasing the asymptotic scaling of the space overhead. Our result reformulates the notion of anyon braiding as an effectively instantaneous process, rather than as an adiabatic, slow process." @default.
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- W3121234320 date "2018-06-06" @default.
- W3121234320 modified "2023-09-27" @default.
- W3121234320 title "Fast universal logical gates on topologically encoded qubits at arbitrarily large code distances" @default.
- W3121234320 hasPublicationYear "2018" @default.
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