Generalized concatenation for quantum codes

  • Grassl M
  • Shor P
  • Zeng B
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Abstract

We show how good quantum error-correcting codes can be constructed using generalized concatenation. The inner codes are quantum codes, the outer codes can be linear or nonlinear classical codes. Many new good codes are found, including both stabilizer codes as well as so-called non-additive codes.

Author-supplied keywords

  • Generalized concatenated codes
  • Nonadditive codes
  • Quantum error correction
  • Stabilizer codes

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Authors

  • Markus Grassl

  • Peter W. Shor

  • Bei Zeng

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