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Volume 31 Issue 12
Dec.  2010
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Qunsheng LI, Yan ZHAO, Lei KOU, Jinda WANG. An Affine Projection Algorithm with Multi-scale Kernels Learning[J]. Journal of Electronics & Information Technology, 2020, 42(4): 924-931. doi: 10.11999/JEIT190023
Citation: Qian Jian-fa, Ma Wen-ping. New Construction of Asymmetric Quantum Error-correcting Codes[J]. Journal of Electronics & Information Technology, 2009, 31(12): 2922-2925. doi: 10.3724/SP.J.1146.2008.01717

New Construction of Asymmetric Quantum Error-correcting Codes

doi: 10.3724/SP.J.1146.2008.01717
  • Received Date: 2008-12-17
  • Rev Recd Date: 2009-06-18
  • Publish Date: 2009-12-19
  • Quantum error-correcting codes play an important role in not only quantum communication but also quantum computation. Previous work in constructing quantum error-correcting codes focuses on code constructions for symmetric quantum channels, i.e., qubit-flip and phase-shift errors have equal probabilities. This paper focuses on the asymmetric quantum channels, i.e., qubit-flip and phase-shift errors have different probabilities Some present families of asymmetric quantum codes are constructed with classical quadratic residue codes and Reed-Muller codes. Compared to previously known methods, the method is simple. Furthermore, using the Trace map, more asymmetric quantum error-correcting codes are obtained.
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