108 citations · 178 across the 4 of their papers we have counts for
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Combining hard and soft decoders for hypergraph product codes
Antoine Grospellier, Lucien Grouès, Anirudh Krishna +1
Hypergraph product codes are a class of constant-rate quantum low-density parity-check (LDPC) codes equipped with a linear-time decoder called small-set-flip (SSF). This decoder di…
Numerical study of hypergraph product codes
Antoine Grospellier, Anirudh Krishna
Hypergraph product codes introduced by Tillich and Zémor are a class of quantum LDPC codes with constant rate and distance scaling with the square-root of the block size. Quantum e…
Constant overhead quantum fault-tolerance with quantum expander codes
Omar Fawzi, Antoine Grospellier, Anthony Leverrier
We prove that quantum expander codes can be combined with quantum fault-tolerance techniques to achieve constant overhead: the ratio between the total number of physical qubits req…
Efficient decoding of random errors for quantum expander codes
Omar Fawzi, Antoine Grospellier, Anthony Leverrier
We show that quantum expander codes, a constant-rate family of quantum LDPC codes, with the quasi-linear time decoding algorithm of Leverrier, Tillich and Zémor can correct a const…