Quantum Low-Density Parity-Check Codes
Nikolas P. Breuckmann, Jens Niklas Eberhardt
Abstract
Quantum error correction is an indispensable ingredient for scalable quantum computing. In this Perspective 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 introduce 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.
Topics & Concepts
Parity (physics)PhysicsMathematicsQuantum mechanicsQuantum Computing Algorithms and ArchitectureAdvancements in Semiconductor Devices and Circuit DesignQuantum Information and Cryptography