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Quantum Low-Density Parity-Check Codes

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 11 Oct 2021Embargo end date: 01 Jan 2021 United Kingdom English Publisher:American Physical Society (APS)Journal:PRX Quantum, volume 2 (eissn: 2691-3399, Copyright policy )Funded by:UKRI | Prosperity Partnership in...
Authors: Nikolas P. Breuckmann; Jens Niklas Eberhardt;

doi: 10.1103/prxquantum.2.040101 , 10.48550/arxiv.2103.06309

arXiv: 2103.06309

handle: 1983/5d1a75a1-fddb-4ac9-a97f-50ad1e056838

Quantum Low-Density Parity-Check Codes

Abstract

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

17 pages, 11 figures

Country
United Kingdom
Related Organizations
Keywords

Quantum Physics, Physics, QC1-999, FOS: Physical sciences, 530, Quantum error correction, 620, QA76.75-76.765, quant-ph, Quantum Information, Computer software, Quantum Physics (quant-ph)

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 121
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 1%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
121
Top 1%
Top 10%
Top 0.1%
Green
gold