Breuckmann, NP;
Eberhardt, JN;
(2021)
Quantum Low-Density Parity-Check Codes.
PRX Quantum
, 2
(4)
, Article 040101. 10.1103/PRXQuantum.2.040101.
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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.
| Type: | Article |
|---|---|
| Title: | Quantum Low-Density Parity-Check Codes |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PRXQuantum.2.040101 |
| Publisher version: | http://dx.doi.org/10.1103/PRXQuantum.2.040101 |
| Language: | English |
| Additional information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (https://creativecommons.org/licenses/by/4.0/). Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. |
| Keywords: | Quantum error correction, Quantum Information |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10138041 |
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