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A Parallel Quantum Algorithm for the Satisfiability Problem
Authors:LIU Wen-Zhang ZHANG Jing-Fu LONG Gui-Lu
Affiliation:1. Key Laboratory for Atomic and Molecular NanoSciences andDepartment of Physics, Tsinghua University, Beijing 100084, China;2. Tsinghua National Laboratory for Information Science andTechnology, Beijing 100084, China
Abstract:In this paper we present a classical parallel quantum algorithm for the satisfiability problem. We have exploited the classical parallelism of quantum algorithms developedin [G.L. Long and L. Xiao, Phys. Rev. A 69 (2004) 052303], so that additional acceleration can be gained by using classical parallelism. The quantum algorithm first estimates the number of solutions using the quantum counting algorithm, and then by using the quantum searching algorithm, the explicit solutions are found.
Keywords:satisfiability problem   quantum search algorithm   long algorithm
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