In this paper we present a classical parallel quantum algorithm for the satisfiability problem. We have exploited the classical parallelism of quantum algorithms developed in [G.L. Long and L. Xiao, Phys. Rev. A 69 （...In this paper we present a classical parallel quantum algorithm for the satisfiability problem. We have exploited the classical parallelism of quantum algorithms developed in [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.展开更多
An algorithm for solving the satisfiability problem is presented. It isproceed that this algorithm solves 2-SAT and Horn-SAT in linear time and k-positiveSAT (in which every clause contains at most k positive literals...An algorithm for solving the satisfiability problem is presented. It isproceed that this algorithm solves 2-SAT and Horn-SAT in linear time and k-positiveSAT (in which every clause contains at most k positive literals) ill time O(F.),where F is the length of input F, n is the number of atoms occurring in F, and k isthe greatest real number satisfying the equation x = 2-. Compared with previousresults, this nontrivial upper bound on time complexity could only be obtained fork-SAT, which is a subproblem of k-positive SAT.展开更多
基金supported by 973 Program under Grant No.2006CB921106National Natural Science Foundation of China under Grant No.60635040the Key Grant Project of the Ministry of Education under Grant No.306020
文摘In this paper we present a classical parallel quantum algorithm for the satisfiability problem. We have exploited the classical parallelism of quantum algorithms developed in [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.
文摘An algorithm for solving the satisfiability problem is presented. It isproceed that this algorithm solves 2-SAT and Horn-SAT in linear time and k-positiveSAT (in which every clause contains at most k positive literals) ill time O(F.),where F is the length of input F, n is the number of atoms occurring in F, and k isthe greatest real number satisfying the equation x = 2-. Compared with previousresults, this nontrivial upper bound on time complexity could only be obtained fork-SAT, which is a subproblem of k-positive SAT.
