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Claim

Codeword stabilized quantum codes

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Conference object , Other literature type 01 Jul 2008Embargo end date: 01 Jan 2007 China (People's Republic of) Publisher:IEEEJournal:2008 IEEE International Symposium on Information Theory
Authors: Andrew W. Cross; Graeme Smith 0002; John A. Smolin; Bei Zeng;

doi: 10.1109/isit.2008.4595009 , 10.1109/tit.2008.2008136 , 10.48550/arxiv.0708.1021

arXiv: 0708.1021

Codeword stabilized quantum codes

Abstract

We present a unifying approach to quantum error correcting code design that encompasses additive (stabilizer) codes, as well as all known examples of nonadditive codes with good parameters. We use this framework to generate new codes with superior parameters to any previously known. In particular, we find ((10,18,3)) and ((10,20,3)) codes. We also show how to construct encoding circuits for all codes within our framework.

5 pages, 1 eps figure, ((11,48,3)) code removed, encoding circuits added, typos corrected in codewords and elsewhere

Country
China (People's Republic of)
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Keywords

Stabilizer codes, Quantum Physics, FOS: Physical sciences, Nonadditive codes, Quantum Physics (quant-ph), Quantum error correction

  • BIP!
    Impact byBIP!
    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).
    		 79
    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 10%
    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.
    		 Top 10%
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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!
79
Top 10%
Top 10%
Top 10%
Green
bronze