186 citations · 332 across the 13 of their papers we have counts for
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quant-ph2020★ 6 cited
Limitations on transversal gates for hypergraph product codes
Simon Burton, Dan Browne
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 vertic…
quant-ph2020★ 186 cited
Decoding Across the Quantum LDPC Code Landscape
Joschka Roffe, David R. White, Simon Burton +1
We show that belief propagation combined with ordered statistics post-processing is a general decoder for quantum low density parity check codes constructed from the hypergraph pro…
quant-ph2020★ 19 cited
Optimal local unitary encoding circuits for the surface code
Oscar Higgott, Matthew Wilson, James Hefford +4
The surface code is a leading candidate quantum error correcting code, owing to its high threshold, and compatibility with existing experimental architectures. Bravyi et al. (2006)…