Quantum Goethals-Preparata Codes
arXiv:0801.2150 · doi:10.1109/ISIT.2008.4594996
Abstract
We present a family of non-additive quantum codes based on Goethals and Preparata codes with parameters ((2^m,2^{2^m-5m+1},8)). The dimension of these codes is eight times higher than the dimension of the best known additive quantum codes of equal length and minimum distance.
Submitted to the 2008 IEEE International Symposium on Information Theory
References in corpus (10)
- Good Quantum Error-Correcting Codes Exist
- A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
- Quantum Error Correction and Orthogonal Geometry
- Simple Quantum Error Correcting Codes
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- Codeword stabilized quantum codes: algorithm and structure
- Low-complexity quantum codes designed via codeword-stabilized framework
- Non-Additive Quantum Codes from Goethals and Preparata Codes
- Codes for Simultaneous Transmission of Quantum and Classical Information
- Generalized Concatenation for Quantum Codes
- Codeword Stabilized Quantum Codes for Asymmetric Channels
- Permutation-Invariant Quantum Codes with Transversal Generalized Phase Gates
- Structured Error Recovery for Codeword-Stabilized Quantum Codes
- Symmetries of Codeword Stabilized Quantum Codes
- The geometry of non-additive stabiliser codes
- Decoder for Nonbinary CWS Quantum Codes
- Codeword Stabilized Codes from m-Uniform Graph States