On a construction of a nonstabilizer clifford quantum code for 2h(2j+1)-level states
Article first published online: 13 DEC 2006
DOI: 10.1002/ecjc.20222
Copyright © 2006 Wiley Periodicals, Inc.
Issue
1520-6440/asset/cover.gif?v=1&s=5dcbd8b5581795810e209e1f34ba941dd2b64c08 "Electronics and Communications in Japan (Part III: Fundamental Electronic Science)")
Electronics and Communications in Japan (Part III: Fundamental Electronic Science)
Volume 90, Issue 4, pages 63–68, April 2007
Additional Information
How to Cite
Hagiwara, M. and Imai, H. (2007), On a construction of a nonstabilizer clifford quantum code for 2h(2j+1)-level states. Electron. Comm. Jpn. Pt. III, 90: 63–68. doi: 10.1002/ecjc.20222
Publication History
- Issue published online: 13 DEC 2006
- Article first published online: 13 DEC 2006
Funded by
- Project on “Research and Development in Quantum Cryptography” of the National Institute of Information and Communications Technology as part of the program “Research and Development on Quantum Communications Technology” of the Ministry of Public Management, Home Affairs, Posts and Telecommunications of Japan. This research was partially supported by a Grant-in-Aid for Scientific Research (A), 14205058, 2000, of the Ministry of Education, Science, Sports and Culture.
- Abstract
- References
- Cited By
Keywords:
- quantum code;
- Clifford code;
- stabilizer code.
Abstract
The construction of an infinite number of nonstabilizer codes of Clifford type was given for the first time by the authors. However, the method of construction was restricted to encoding from odd prime p-level quantum states to 2p-level states. In this paper, the result is extended to the construction of nonstabilizer-type quantum codes which encode quantum states of arbitrary odd 2j+1-level to quantum states of 2h(2j+1)-level, where h are mutually prime 2j+1. © 2006 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 90(4): 63 – 68, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecjc.20222