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quant-phMay 1, 2015
authors
  • Douglas Frederico Guimarães Santiago
  • Geraldo Samuel Sena Otoni
arXiv abstractPDF
paper

A new approach to codeword stabilized quantum codes using the algebraic structure of modules

arXiv:1505.00283

Abstract

In this work, we study the Codeword Stabilized Quantum Codes (CWS codes) a generalization of the stabilizers quantum codes using a new approach, the algebraic structure of modules, a generalization of linear spaces. We show then a new result that relates CWS codes with stabilizer codes generalizing results in the literature.

7 pages

References in corpus (16)

  • Mixed State Entanglement and Quantum Error Correction
  • Good Quantum Error-Correcting Codes Exist
  • A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
  • Simple Quantum Error Correcting Codes
  • Stabilizer states and Clifford operations for systems of arbitrary dimensions, and modular arithmetic
  • Codeword Stabilized Quantum Codes
  • Quantum Error Correcting Codes Using Qudit Graph States
  • Graphical Nonbinary Quantum Error-Correcting Codes
  • Standard Form of Qudit Stabilizer Groups
  • Nonadditive quantum error-correcting code
  • A simple family of nonadditive quantum codes
  • Codeword stabilized quantum codes: algorithm and structure
  • Graphical Quantum Error-Correcting Codes
  • Nonbinary Codeword Stabilized Quantum Codes
  • Non-Additive Quantum Codes from Goethals and Preparata Codes
  • A Note on Non-Additive Quantum Codes
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