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Quantum Computer Algorithm for Parity Determination Based on Quantum Counting
Authors:Hong-Fu Wang and Shou Zhang
Institution:(1) Center for the Condensed-Matter Science and Technology, Harbin Institute of Technology, Harbin, Heilongjiang, 150001, People’s Republic of China;(2) Department of Physics, College of Science, Yanbian University, Yanji, Jilin, 133002, People’s Republic of China
Abstract:A new quantum computer algorithm is proposed for determining the parity of function f(x) by using quantum counting algorithm. The parity of function f(x) can be determined by counting exactly the number of satisfying f(x)=−1, which is equivalent to determine the number of solutions, M, to an N item search problem. The algorithm can be accomplished in time of order $\Theta(\sqrt{k(N-k)})$ .
Keywords:Parity determination  Quantum computer  Quantum counting
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