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2020 | OriginalPaper | Chapter

Quantum Solution for the 3-SAT Problem Based on IBM Q

Authors : Ying Zhang, Yu-xiang Bian, Qiang Fan, Junxiu Chen

Published in: Cloud Computing, Smart Grid and Innovative Frontiers in Telecommunications

Publisher: Springer International Publishing

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Abstract

Quantum computing is currently considered to be a new type of computing model that has a subversive impact on the future. Based on its leading information and communication technology advantages, IBM launched IBM Q Experience cloud service platform, and achieved phased research results in the quantum simulator and programming framework. In this paper, we propose a quantum solution for the 3-SAT problem, which includes three steps: constructing the initial state, computing the unitary \(U_f\) implementing the black-box function f and performing the inversion about the average. In addition, the corresponding experimental verification for an instance of the Exactly-1 3-SAT problem with QISKit, which can connect to IBM Q remotely, is depicted. The experimental result not only show the feasibility of the quantum solution, but also serve to evaluate the functionality of IBM Q devices.

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Literature
2.
go back to reference Deutsch, D., Jozsa, R.: Rapid solution of problems by quantum computation. Proc. R. Soc. Lond. Ser. A (Math. Phys. Sci.) 439(1907), 553–558 (1992)MathSciNetMATH Deutsch, D., Jozsa, R.: Rapid solution of problems by quantum computation. Proc. R. Soc. Lond. Ser. A (Math. Phys. Sci.) 439(1907), 553–558 (1992)MathSciNetMATH
3.
go back to reference Shor, P.W.: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM Rev. 41(2), 303–332 (1999) MathSciNetCrossRef Shor, P.W.: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM Rev. 41(2), 303–332 (1999) MathSciNetCrossRef
4.
go back to reference Grover, L.K.: A fast quantum mechanical algorithm for database search. In: Proceedings of ACM Symposium on the Theory of Computing, pp. 212–219 (1996) Grover, L.K.: A fast quantum mechanical algorithm for database search. In: Proceedings of ACM Symposium on the Theory of Computing, pp. 212–219 (1996)
6.
go back to reference Chen, X.B., Tang, X., Xu, G., Dou, Z., Chen, Y.L., Yang, Y.X.: Cryptanalysis of secret sharing with a single d-level quantum system. Quantum Inf. Process. 17(9), 225 (2018)MathSciNetCrossRef Chen, X.B., Tang, X., Xu, G., Dou, Z., Chen, Y.L., Yang, Y.X.: Cryptanalysis of secret sharing with a single d-level quantum system. Quantum Inf. Process. 17(9), 225 (2018)MathSciNetCrossRef
7.
go back to reference Huang, W., Su, Q., Liu, B., He, Y.H., Fan, F., Xu, B.J.: Efficient multiparty quantum key agreement with collective detection. Sci. Rep. 7(1), 15264 (2017)CrossRef Huang, W., Su, Q., Liu, B., He, Y.H., Fan, F., Xu, B.J.: Efficient multiparty quantum key agreement with collective detection. Sci. Rep. 7(1), 15264 (2017)CrossRef
9.
go back to reference Liu, W.J., Chen, H.W., Li, Z.Q., Liu, Z.H.: Efficient quantum secure direct communication with authentication. Chin. Phys. Lett. 25(7), 2354–2357 (2008)CrossRef Liu, W.J., Chen, H.W., Li, Z.Q., Liu, Z.H.: Efficient quantum secure direct communication with authentication. Chin. Phys. Lett. 25(7), 2354–2357 (2008)CrossRef
10.
go back to reference Liu, W.J., Chen, H.W., Ma, T.H., Li, Z.Q., Liu, Z.H., Hu, W.B.: An efficient deterministic secure quantum communication scheme based on cluster states and identity authentication. Chin. Phys. B 18(10), 4105–4109 (2009)CrossRef Liu, W.J., Chen, H.W., Ma, T.H., Li, Z.Q., Liu, Z.H., Hu, W.B.: An efficient deterministic secure quantum communication scheme based on cluster states and identity authentication. Chin. Phys. B 18(10), 4105–4109 (2009)CrossRef
12.
go back to reference Liu, W., Liu, C., Wang, H., Jia, T.: Quantum private comparison: a review. IETE Tech. Rev. 30(5), 439–445 (2013)CrossRef Liu, W., Liu, C., Wang, H., Jia, T.: Quantum private comparison: a review. IETE Tech. Rev. 30(5), 439–445 (2013)CrossRef
13.
go back to reference Liu, W.J., Liu, C., Liu, Z.H., Liu, J.F., Geng, H.T.: Same initial states attack in Yang et al.’s quantum private comparison protocol and the improvement. Int. J. Theor. Phys. 53(1), 271–276 (2014)CrossRef Liu, W.J., Liu, C., Liu, Z.H., Liu, J.F., Geng, H.T.: Same initial states attack in Yang et al.’s quantum private comparison protocol and the improvement. Int. J. Theor. Phys. 53(1), 271–276 (2014)CrossRef
14.
go back to reference Liu, W.J., Liu, C., Chen, H.W., Li, Z.Q., Liu, Z.H.: Cryptanalysis and improvement of quantum private comparison protocol based on bell entangled states. Commun. Theor. Phys. 62(2), 210–214 (2014)MathSciNetCrossRef Liu, W.J., Liu, C., Chen, H.W., Li, Z.Q., Liu, Z.H.: Cryptanalysis and improvement of quantum private comparison protocol based on bell entangled states. Commun. Theor. Phys. 62(2), 210–214 (2014)MathSciNetCrossRef
17.
go back to reference Liu, W.J., Wang, F., Ji, S., Qu, Z.G., Wang, X.J.: Attacks and improvement of quantum sealed-bid auction with EPR pairs. Commun. Theor. Phys. 61(6), 686–690 (2014)CrossRef Liu, W.J., Wang, F., Ji, S., Qu, Z.G., Wang, X.J.: Attacks and improvement of quantum sealed-bid auction with EPR pairs. Commun. Theor. Phys. 61(6), 686–690 (2014)CrossRef
20.
go back to reference Qu, Z.G., Wu, S.Y., Wang, M.M., Sun, L., Wang, X.J.: Effect of quantum noise on deterministic remote state preparation of an arbitrary two-particle state via various quantum entangled channels. Quantum Inf. Process. 16(306), 1–25 (2017)MathSciNetMATH Qu, Z.G., Wu, S.Y., Wang, M.M., Sun, L., Wang, X.J.: Effect of quantum noise on deterministic remote state preparation of an arbitrary two-particle state via various quantum entangled channels. Quantum Inf. Process. 16(306), 1–25 (2017)MathSciNetMATH
21.
go back to reference Wang, M.M., Yang, C., Mousoli, R.: Controlled cyclic remote state preparation of arbitrary qubit states. CMC-Comput. Mater. Continua 55(2), 321–329 (2018) Wang, M.M., Yang, C., Mousoli, R.: Controlled cyclic remote state preparation of arbitrary qubit states. CMC-Comput. Mater. Continua 55(2), 321–329 (2018)
24.
go back to reference Qu, Z.G., Zhu, T.C., Wang, J.W., Wang, X.J.: A novel quantum stegonagraphy based on brown states. CMC-Comput. Mater. Continua 56(1), 47–59 (2018) Qu, Z.G., Zhu, T.C., Wang, J.W., Wang, X.J.: A novel quantum stegonagraphy based on brown states. CMC-Comput. Mater. Continua 56(1), 47–59 (2018)
26.
go back to reference Liu, W.J., Chen, Z.Y., Liu, J.S., Su, Z.F., Chi, L.H.: Full-blind delegating private quantum computation. CMC-Comput. Mater. Continua 56(2), 211–223 (2018) Liu, W.J., Chen, Z.Y., Liu, J.S., Su, Z.F., Chi, L.H.: Full-blind delegating private quantum computation. CMC-Comput. Mater. Continua 56(2), 211–223 (2018)
27.
go back to reference Lloyd, S., Mohseni, M., Rebentrost, P.: Quantum algorithms for supervised and unsupervised machine learning. eprint arXiv (2013) Lloyd, S., Mohseni, M., Rebentrost, P.: Quantum algorithms for supervised and unsupervised machine learning. eprint arXiv (2013)
31.
go back to reference Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information, 10 Anniversary edn. Cambridge University Press, Cambridge (2011)MATH Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information, 10 Anniversary edn. Cambridge University Press, Cambridge (2011)MATH
32.
go back to reference Garey, M.R., Johnson, D.S.: Computers and Intractability, vol. 29. W. H. Freeman and Company, New York (1972) Garey, M.R., Johnson, D.S.: Computers and Intractability, vol. 29. W. H. Freeman and Company, New York (1972)
Metadata
Title
Quantum Solution for the 3-SAT Problem Based on IBM Q
Authors
Ying Zhang
Yu-xiang Bian
Qiang Fan
Junxiu Chen
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-48513-9_33

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