Non-Additive Quantum Codes from Goethals and Preparata Codes
arXiv:0801.2144 · doi:10.1109/ITW.2008.4578694
Abstract
We extend the stabilizer formalism to a class of non-additive quantum codes which are constructed from non-linear classical codes. As an example, we present infinite families of non-additive codes which are derived from Goethals and Preparata codes.
submitted to the 2008 IEEE Information Theory Workshop (ITW 2008)
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Cited by in corpus (11)
- Quantum Goethals-Preparata Codes
- Low-complexity quantum codes designed via codeword-stabilized framework
- Generalized Concatenation for Quantum Codes
- Codeword Stabilized Quantum Codes for Asymmetric Channels
- Structured Error Recovery for Codeword-Stabilized Quantum Codes
- Quantum Error Correction Code in the Hamiltonian Formulation
- Symmetries of Codeword Stabilized Quantum Codes
- Decoder for Nonbinary CWS Quantum Codes
- Codeword Stabilized Codes from m-Uniform Graph States
- A new approach to codeword stabilized quantum codes using the algebraic structure of modules
- The Fourier Transform Approach to Quantum Coding