Stabilizer codes over Frobenius rings

@article{Nadella2012StabilizerCO,
  title={Stabilizer codes over Frobenius rings},
  author={Sushma Nadella and Andreas Klappenecker},
  journal={2012 IEEE International Symposium on Information Theory Proceedings},
  year={2012},
  pages={165-169}
}
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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Stabilizer codes over Frobenius Rings

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  • M.S. thesis, Texas A&M University
  • 2012

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