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cs.ITApr 10, 2012
1
citations (OpenAlex)
authors
  • Nolmar Melo
  • Douglas F. G. Santiago
  • Renato Portugal
institutions
  • Laboratório Nacional de Computação Científica
arXiv abstractPDF
paper

Decoder for Nonbinary CWS Quantum Codes

arXiv:1204.2218

Abstract

We present a decoder for nonbinary CWS quantum codes using the structure of union codes. The decoder runs in two steps: first we use a union of stabilizer codes to detect a sequence of errors, and second we build a new code, called union code, that allows to correct the errors.

References in corpus (15)

  • Good Quantum Error-Correcting Codes Exist
  • A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
  • Simple Quantum Error Correcting Codes
  • Quantum algorithms for algebraic problems
  • Graphical Nonbinary Quantum Error-Correcting Codes
  • Nonadditive quantum error-correcting code
  • A simple family of nonadditive quantum codes
  • Generalized Concatenated Quantum Codes
  • Codeword stabilized quantum codes: algorithm and structure
  • Nonbinary Codeword Stabilized Quantum Codes
  • Quantum Goethals-Preparata Codes
  • Non-Additive Quantum Codes from Goethals and Preparata Codes
  • A Note on Non-Additive Quantum Codes
  • Clustered Error Correction of Codeword-Stabilized Quantum Codes
  • Structured Error Recovery for Codeword-Stabilized Quantum Codes
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