High-threshold, low-overhead and single-shot decodable fault-tolerant
quantum memory
High-threshold, low-overhead and single-shot decodable fault-tolerant
quantum memory
We present a new family of quantum low-density parity-check codes, which we call radial codes, obtained from the lifted product of a specific subset of classical quasi-cyclic codes. The codes are defined using a pair of integers $(r,s)$ and have parameters $[\![2r^2s,2(r-1)^2,\leq2s]\!]$, with numerical studies suggesting average-case distance linear in …