Nonbinary Quantum Stabilizer Codes

Alexei Ashikhmin; Emanuel Knill

Nonbinary Quantum Stabilizer Codes

Quantum Physics 2007-05-23 v1

Authors: Alexei Ashikhmin , Emanuel Knill

Abstract

We define and show how to construct nonbinary quantum stabilizer codes. Our approach is based on nonbinary error bases. It generalizes the relationship between selforthogonal codes over $GF_{4}$ and binary quantum codes to one between selforthogonal codes over $GF_{q^2}$ and $q$ -ary quantum codes for any prime power $q$ .

Keywords

quantum error correction

Cite

@article{arxiv.quant-ph/0005008,
  title  = {Nonbinary Quantum Stabilizer Codes},
  author = {Alexei Ashikhmin and Emanuel Knill},
  journal= {arXiv preprint arXiv:quant-ph/0005008},
  year   = {2007}
}

Comments

6 pages

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