Recent developments in LDPC quantum codes

Quantum error correction is an indispensable ingredient for scalable quantum computing. We discuss a particular class of quantum codes called "quantum low-density parity-check (LDPC) codes." The codes we discuss are alternatives to the surface code, which is currently the leading candidate to implement quantum fault tolerance. We discuss the zoo of quantum LDPC codes and discuss their potential for making quantum computers robust with regard to noise. In particular, we explain recent advances in the theory of quantum LDPC codes related to certain product constructions and discuss open problems in the field.