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https://doi.org/10.1109/isit.2...
Article . 2012 . Peer-reviewed
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Stabilizer codes over Frobenius rings

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jul 2012Publisher:IEEEJournal:2012 IEEE International Symposium on Information Theory Proceedings
Authors: Sushma Nadella; Andreas Klappenecker;

doi: 10.1109/isit.2012.6283558

Stabilizer codes over Frobenius rings

Abstract

Quantum error-correcting codes over finite fields have been widely studied, but quantum codes over rings have been left largely unexplored. This paper introduces stabilizer codes over finite Frobenius rings and establishes their connection to classical code. Structural properties of stabilizer codes over finite Frobenius rings are established. It is proved that free stabilizer codes over finite commutative chain rings cannot outperform stabilizer codes over finite fields.

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    popularity
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    influence
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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!
10
Top 10%
Top 10%
Average