Boolean functions, projection operators, and quantum error correcting codes
Publication
, Journal Article
Aggarwal, V; Calderbank, AR
Published in: IEEE Transactions on Information Theory
April 1, 2008
This paper describes a fundamental correspondence between Boolean functions and projection operators in Hilbert space. The correspondence is widely applicable, and it is used in this paper to provide a common mathematical framework for the design of both additive and nonadditive quantum error correcting codes. The new framework leads to the construction of a variety of codes including an infinite class of codes that extend the original ((5, 6, 2)) code found by Rains et al It also extends to operator quantum error correcting codes. © 2008 IEEE.
Duke Scholars
Published In
IEEE Transactions on Information Theory
DOI
ISSN
0018-9448
Publication Date
April 1, 2008
Volume
54
Issue
4
Start / End Page
1700 / 1707
Related Subject Headings
- Networking & Telecommunications
- 4613 Theory of computation
- 4006 Communications engineering
- 1005 Communications Technologies
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing
Citation
APA
Chicago
ICMJE
MLA
NLM
Aggarwal, V., & Calderbank, A. R. (2008). Boolean functions, projection operators, and quantum error correcting codes. IEEE Transactions on Information Theory, 54(4), 1700–1707. https://doi.org/10.1109/TIT.2008.917720
Aggarwal, V., and A. R. Calderbank. “Boolean functions, projection operators, and quantum error correcting codes.” IEEE Transactions on Information Theory 54, no. 4 (April 1, 2008): 1700–1707. https://doi.org/10.1109/TIT.2008.917720.
Aggarwal V, Calderbank AR. Boolean functions, projection operators, and quantum error correcting codes. IEEE Transactions on Information Theory. 2008 Apr 1;54(4):1700–7.
Aggarwal, V., and A. R. Calderbank. “Boolean functions, projection operators, and quantum error correcting codes.” IEEE Transactions on Information Theory, vol. 54, no. 4, Apr. 2008, pp. 1700–07. Scopus, doi:10.1109/TIT.2008.917720.
Aggarwal V, Calderbank AR. Boolean functions, projection operators, and quantum error correcting codes. IEEE Transactions on Information Theory. 2008 Apr 1;54(4):1700–1707.
Published In
IEEE Transactions on Information Theory
DOI
ISSN
0018-9448
Publication Date
April 1, 2008
Volume
54
Issue
4
Start / End Page
1700 / 1707
Related Subject Headings
- Networking & Telecommunications
- 4613 Theory of computation
- 4006 Communications engineering
- 1005 Communications Technologies
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing