6 citations · 7 across the 3 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
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-ph2018★ 1 cited
Spectra of Gauge Code Hamiltonians
Simon Burton
We study the spectral gap of frustrated spin (qubit) Hamiltonians constructed from quantum subsystem (gauge) codes. Such a Hamiltonian can be block diagonalized, with blocks labell…