Title

Algebraic techniques in designing quantum synchronizable codes

Authors

Yuichiro Fujiwara, California Institute of Technology
Vladimir Tonchev, Michigan Technological UniversityFollow
Tony Wong, California Institute of Technology

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.

Publisher's Statement

©2013 American Physical Society. Publisher’s version of record: https://doi.org/10.1103/PhysRevA.88.012318

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