6 citations · 7 across the 2 of their papers we have counts for
4 papers
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…
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…
Lift of fractional D-brane charge to equivariant Cohomotopy theory
Simon Burton, Hisham Sati, Urs Schreiber
The lift of K-theoretic D-brane charge to M-theory was recently hypothesized to land in Cohomotopy cohomology theory. To further check this "Hypothesis H", here we explicitly compu…
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…