Quantum Physics

   

Quantum Cryptography Based on the Deutsch-Jozsa Algorithm

Authors: Koji Nagata, Tadao Nakamura, Ahmed Farouk

Recently, secure quantum key distribution based on Deutsch's algorithm using the Bell state is reported \cite{NN2}. Our aim is of extending the result to a multipartite system. In this paper, we propose a highly speedy key distribution protocol. We present secure quantum key distribution based on a special Deutsch-Jozsa algorithm using Greenberger-Horne-Zeilinger states. Originally, Bob has promised to use a function $f$ which is of one of the two kinds; either the value of $f(x)$ is constant for all $x$, or the value of $f(x)$ is balanced, that is, it is equal to $1$ for exactly half of all the possible $x$, and $0$ for the other half. Here, Bob uses a special function when it is not constant. We may say the value of $f(x)$ is special. Our quantum key distribution overcomes a classical counterpart by a factor $O(2^N)$.

Comments: 10 Pages. International Journal of Theoretical Physics, (2017), DOI: 10.1007/s10773-017-3456-x

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[v1] 2017-07-02 06:30:15

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