%0 Journal Article
%T The Deutsch-Jozsa Algorithm Can Be Used for Quantum Key Distribution
%A Koji Nagata
%A Tadao Nakamura
%J Open Access Library Journal
%V 2
%N 8
%P 1-6
%@ 2333-9721
%D 2015
%I Open Access Library
%R 10.4236/oalib.1101798
%X We review the new type of Deutsch-Jozsa
algorithm proposed in [K. Nagata and T. Nakamura, Int. J. Theor. Phys. 49, 162
(2010)]. We suggest that the Deutsch-Jozsa algorithm can be used for quantum
key distribution. Alice sends input <i>N</i>   1 partite uncorrelated state to a black box. Bob measures output state. Now,
Alice and Bob have promised to use a function <i>f</i> which is one of two kinds: either the value of <i>f</i> is constant or balanced. To Eve, it is
secret. Alice¡¯s and Bob¡¯s goal is to determine with certainty whether they have
chosen a constant or a balanced function. Alice and Bob get one bit if they
determine the function <i>f</i>. The speed
to get one bit improves by a factor of 2<i><sup>N</sup></i>.
This may improve the speed to establish quantum key distribution by a factor of
2<i><sup>N</sup></i>.
%K Quantum Information Theory
%K Quantum Computation
%K Quantum Cryptography
%U http://www.oalib.com/paper/3149127