Quantum Low-Density Parity-Check Codes

Nikolas P. Breuckmann; Jens Niklas Eberhardt

doi:10.1103/PRXQuantum.2.040101

Quantum Low-Density Parity-Check Codes

Nikolas P. Breuckmann, Jens Niklas Eberhardt

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

170 Citations (Scopus)

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.

Original language	English
Article number	040101
Number of pages	21
Journal	PRX Quantum
Volume	2
Issue number	4
DOIs	https://doi.org/10.1103/PRXQuantum.2.040101 https://doi.org/10.1103/PRXQuantum.2.040101
Publication status	Published - Dec 2021

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© 2021 Published by the American Physical Society

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quant-ph

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Quantum Low-Density Parity-Check Codes

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