Towards high-rate quantum LDPC codes with neutral atoms

We discuss the possibility of realizing a family of high-rate quantum Low-Density Parity-Check (LDPC) codes in neutral atom quantum computers. We present results for their encoding and error correction capabilities, by focusing on codes that may be realized in near-term experiments with Rydberg atoms trapped in a two-dimensional array. We conclude by discussing in what situations these codes offer advantages over the standard surface code approach.