Abstract
Quantum Fourier Transform finds a variety of applications in quantum computing. It is the most important building block in a number of quantum algorithms like Shor’s algorithm, phase estimation algorithm, etc. This paper illustrates the ability of Genetic algorithm for evolving these quantum fourier transform circuits on a classical computer. Circuits for two, three, four, and five qubits have been discussed in the paper, however. the algorithm has been generalized for evolving circuits for any number of qubits.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Ding, S., Jin, Z., Yang, Q.: Evolving quantum circuits at the gate level with a hybrid quantum-inspired evolutionary algorithm. In: Soft Computing, Springer-Verlag, pp. 1059–1072 (2008)
Williams, C.P., Alexander, G.G.: Automated design of quantum circuits. QCQC’98, LNCS (1999)
Spector, L., Barnum, H., Bernstein, H.J., Swamy, N.: Quantum computing applications of genetic programming. Advances in Genetic Programming (1999)
Rubinstein, B.I.P.: Evolving quantum circuits using genetic programming. In: Proceedings of the 2001 Congress on Evolutionary Computation (2001)
Leier, A., Banzhaf, W.: Evolving Hogg’s quantum algorithm using linear-tree GP. In: Proceedings of the 2003 International Conference on Genetic and Evolutionary Computation: Part 1, pp. 390–400 (2003)
Lukac, M., Perkowski, M.: Evolving quantum circuits using genetic algorithm. In: Proceedings of the 2002 NASA/DOD Conference on Evolvable Hardware (2002)
Lukac, M., Perkowski, M., Goi, H., Pivtoraiko, M., Yu, C.H., Chung, K., Jee, H., Kim, B., Kim, Y.: Evolutionary approach to quantum and reversible circuits synthesis. Artif. Intell. Rev. 30, 361–417 (2003)
Ruican, C., Udrescu, M., Prodan, L., Vladutiu, M.: Adaptive and natural computing algorithms. Lect. Notes Comput. Sci. 4431, 174–183 (2007)
Mukherjee, D., Chakrabarti, A., Bhattacherjee, D.: Synthesis of quantum circuits using genetic algorithm. Int. J. Recent Trends Eng. 2(1) (2009)
Veiri, C., Josephine, A., Frank, M.: A fully reversible asymptotically zero energy microprocessor. MIT AI Laboratory (1998)
Mukhopadhyay, D., Si, A.: Quantum multiplexer desigining and optimization applying genetic algorithm. Int. J. Comput. Sci. 7(5) (2010)
Satsangi, S., Gulati, A., Kalra, P.K., Patvardhan, C.: Application of genetic algorithms for evolution of quantum equivalents of boolean circuits. Int. J. Electr. Comput. Electron. Commun. Eng. 6(3) (2012)
Yabuki, T., Iba, H.: Genetic algorithms for quantum circuit design—evolving a simpler teleportation circuit. In Late Breaking Papers at GECCO (2000)
Massey, P., Clark, J.A., Stepney, S.: Human-competitive evolution of quantum computing artifacts by genetic programming. Evol. Comput. 14(1), 21–40 (2006)
Yang, Q., Zhong, S., Ding, S.: A simple quantum inspired evolutionary algorithm and its application to numerical optimization problems. J. Wuhan University (Natural Science Edition) 52(1), 21–24 (2006)
Satsangi, S., Patvardhan, C.: Design of reversible quantum equivalents of classical circuits using hybrid quantum inspired evolutionary algorithm. International Advanced Computing Conference. pp. 12–13 (2015)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer India
About this paper
Cite this paper
Satsangi, S., Patvardhan, C. (2016). Application of Genetic Algorithm for Evolution of Quantum Fourier Transform Circuits. In: Satapathy, S., Raju, K., Mandal, J., Bhateja, V. (eds) Proceedings of the Second International Conference on Computer and Communication Technologies. Advances in Intelligent Systems and Computing, vol 379. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2517-1_74
Download citation
DOI: https://doi.org/10.1007/978-81-322-2517-1_74
Published:
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-2516-4
Online ISBN: 978-81-322-2517-1
eBook Packages: EngineeringEngineering (R0)