111 citations · 446 across the 12 of their papers we have counts for
3 papers · 1 filter
Numerical and analytical bounds on threshold error rates for hypergraph-product codes
Alexey A. Kovalev, Sanjay Prabhakar, Ilya Dumer +1
We study analytically and numerically decoding properties of finite rate hypergraph-product quantum LDPC codes obtained from random (3,4)-regular Gallager codes, with a simple mode…
Linked-Cluster Technique for Finding the Distance of a Quantum LDPC Code
Alexey A. Kovalev, Ilya Dumer, Leonid P. Pryadko
We present a linked-cluster technique for calculating the distance of a quantum LDPC code. It offers an advantage over existing deterministic techniques for codes with small relati…
Fault-Tolerance of "Bad" Quantum Low-Density Parity Check Codes
Alexey A. Kovalev, Leonid P. Pryadko
We discuss error-correction properties for families of quantum low-density parity check (LDPC) codes with relative distance that tends to zero in the limit of large blocklength. In…