Quantum Low-Density Parity-Check Codes

Nikolas P. Breuckmann, Jens Niklas Eberhardt

Research output: Contribution to journalArticle (Academic Journal)peer-review

70 Citations (Scopus)


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 languageEnglish
Article number040101
Number of pages21
JournalPRX Quantum
Issue number4
Publication statusPublished - Dec 2021

Bibliographical note

Publisher Copyright:
© 2021 Published by the American Physical Society


  • quant-ph


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