General quantum key distribution in higher dimension
Author(s)
Shi, Han-Duo; Wang, Yi-Nan; Jing, Li; Lei, Jin; Mu, Liang-Zhu; Fan, Heng; Xiong, Zhaoxi; ... Show more Show less
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We study a general quantum key distribution protocol in higher dimension. In this protocol, quantum states in arbitrary g+1 (1≤g≤d) out of all d+1 mutually unbiased bases in a d-dimensional system can be used for the key encoding. This provides a natural generalization of the quantum key distribution in higher dimension and recovers the previously known results for g=1 and d. In our investigation, we study Eve's attack by two slightly different approaches. One is considering the optimal cloner of Eve, and the other, defined as the optimal attack, is maximizing Eve's information. We derive results for both approaches and show the deviation of the optimal cloner from the optimal attack. With our systematic investigation of the quantum key distribution protocols in higher dimension, one may balance the security gain and the implementation cost by changing the number of bases in the key encoding. As a side product, we also prove the equivalency between the optimal phase covariant quantum cloning machine and the optimal cloner for the g=d−1 quantum key distribution.
Date issued
2012-01Department
Massachusetts Institute of Technology. Department of PhysicsJournal
Physical Review A
Publisher
American Physical Society
Citation
Xiong, Zhao-Xi et al. “General Quantum Key Distribution in Higher Dimension.” Physical Review A 85.1 (2012): Web. 27 Apr. 2012. © 2011 American Physical Society
Version: Final published version
ISSN
1050-2947
1094-1622