Document Type
Article
Publication Date
7-16-2013
Abstract
Quantum synchronizable codes are quantum error-correcting codes that can correct the effects of quantum noise as well as block synchronization errors. We improve the known general framework for designing quantum synchronizable codes through more extensive use of the theory of finite fields. This makes it possible to widen the range of tolerable magnitude of block synchronization errors while giving mathematical insight into the algebraic mechanism of synchronization recovery. Also given are families of quantum synchronizable codes based on punctured Reed-Muller codes and their ambient spaces.
Publication Title
Physical Review A
Recommended Citation
Fujiwara, Y.,
Tonchev, V.,
&
Wong, T.
(2013).
Algebraic techniques in designing quantum synchronizable codes.
Physical Review A,
88(1), 012318-1-012318-8.
http://doi.org/10.1103/PhysRevA.88.012318
Retrieved from: https://digitalcommons.mtu.edu/math-fp/91
Version
Publisher's PDF
Publisher's Statement
©2013 American Physical Society. Publisher’s version of record: https://doi.org/10.1103/PhysRevA.88.012318