No-signaling quantum key distribution: solution by linear programming

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We outline a straightforward approach for obtaining a secret key rate using only no-signaling constraints and linear programming. Assuming an individual attack, we consider all possible joint probabilities. Initially, we study only the case where Eve has binary outcomes, and we impose constraints due to the no-signaling principle and given measurement outcomes. Within the remaining space of joint probabilities, by using linear programming, we get bound on the probability of Eve correctly guessing Bob's bit. We then make use of an inequality that relates this guessing probability to the mutual information between Bob and a more general Eve, who is not binary-restricted. Putting our computed bound together with the Csiszar-Korner formula, we obtain a positive key generation rate. The optimal value of this rate agrees with known results, but was calculated in a more straightforward way, offering the potential of generalization to different scenarios.
Publisher
SPRINGER
Issue Date
2015-02
Language
English
Article Type
Article
Citation

QUANTUM INFORMATION PROCESSING, v.14, no.2, pp.687 - 696

ISSN
1570-0755
DOI
10.1007/s11128-014-0880-1
URI
http://hdl.handle.net/10203/244354
Appears in Collection
EE-Journal Papers(저널논문)
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