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Limitations on transversal gates for hypergraph product codes

Published 10 Dec 2020 in quant-ph | (2012.05842v1)

Abstract: We analyze the structure of the logical operators from a class of quantum codes that generalizes the surface codes. These are the hypergraph product codes, restricted to the vertical sector. By generalizing an argument of Bravyi and K\"onig, we find that transversal gates for these codes must be restricted to the Clifford group.

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