General quantum key distribution in higher dimension
Name
Xiong-2012-General quantum key distribution in higher dimension.pdf
Size
214.67 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Shi, Han-Duo
Wang, Yi-Nan
Jing, Li
Lei, Jin
Mu, Liang-Zhu
Fan, Heng
Xiong, Zhaoxi
Date Issued
January 2012
Journal
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
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevA.85.012334
