Emulating Qubits with Fuzzy Logic

Journal of Advanced Computational Intelligence and Intelligent Informatics

Volumn 11, Issue 2, 2007, Pages 242-249

  Hannachi, M Skander ^a   Hatakeyama, Yutaka ^a   Hirota, Kaoru ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Deutsch Jozsa algorithm; fuzzy hardware; fuzzy logic; quantum computing; qubit

Indexed keywords

COMPUTER CIRCUITS; FUZZY INFERENCE; FUZZY RULES; LARGE SCALE SYSTEMS; MATHEMATICAL TRANSFORMATIONS; PARALLEL PROCESSING SYSTEMS; QUANTUM COMPUTERS; QUANTUM THEORY;

ANALOG HARDWARE; DEDICATED HARDWARE; DEUTSCH-JOZSA ALGORITHMS; FUZZY HARDWARE; FUZZY-LOGIC; PARALLEL PROCESSING; QUANTUM CIRCUIT; QUANTUM COMPUTING; QUANTUM SUPERPOSITIONS; UNIT SQUARES;

MEMBERSHIP FUNCTIONS;

EID: 47349110250     PISSN: 13430130     EISSN: 18838014     Source Type: Journal    
DOI: 10.20965/jaciii.2007.p0242     Document Type: Article

References (25)

1. D. S. Abrams and S. Lloyd, “Nonlinear Quantum Mechanics Implies Polynomial-Time Solution for NP-Complete and #P Problems,” Physical Review Letters, Vol.81, p. 3992, 1998.
2. L. Adleman, J. DeMarrais, and M. Huang, “Quantum computability,” SIAM Journal on Computing, Vol.26, pp. 1524-1540, 1997.
3. N. Bhattacharya, H. B. van Linden van den Heuvell, and R. J. C. Spreeuw, “Implementation of Quantum Search Algorithm using Classical Fourier Optics,” Physical Review Letters, Vol.88, 137901, 2002.
4. A. Bolotin, “Quantum mechanical approach to fuzzy logic modeling,” Mathematical and Computer Modelling, Vol.34, No.7-8, pp. 937-945, 2001.
5. S. Dasgupta, A. Biswas, and G. S. Agarwal, “Implementing Deutsch-Jozsa algorithm using light shifts and atomic ensembles,” Physical Review A, Vol.7, No.1, 012333, 2005.
6. D. Deutsch, “Quantum theory, the church-turing principle and the universal quantum computer,” Proceedings of the Royal Society London, Vol.A400, pp. 97-117, 1985.
7. B. D’hooghe, J. Pykacz, and R.R. Zapatrin, “Quantum Computation of Fuzzy Numbers,” International Journal of Theoretical Physics, Vol.43, No.6, pp. 1423-1432, 2004.
8. S. Dick, “Toward complex fuzzy logic,” IEEE Transactions on Fuzzy Systems, Vol.13, No.3, pp. 405-414, 2005.
9. D. K. Ferry, R. Akis, and J. Harris, “Quantum wave processing,” Superlattices and Microstructures, Vol.30, No.2, pp. 81-94, 2001.
10. T. Gopinath and A. Kumar, “Geometric quantum computation using fictitious spin-1/2 subspaces of strongly dipolar coupled nuclear spins,” Physical Review A, Vol.73, 022326, 2006.
11. L. K. Grover, “Quantum computers can search arbitrarily large databases by a single query,” Physical Review Letters, Vol.79, pp. 4709-4712, 1997.
12. K. Hirota and K. Ozawa, “The concept of fuzzy flip-flop,” IEEE Transactions on Systems, Man and Cybernetics, Vol.19, No.5, pp. 980-997, 1989.
13. A. M. Ibrahim, “Bringing fuzzy logic into focus,” Circuits and Devices Magazine, IEEE, Vol.17, No.5, pp. 33-38, 2001.
14. M. A. Nielsen and I. L. Chuang, “Quantum Computation and Quantum Information,” Cambridge Univ. Press, Cambridge, U.K., 2000.
15. R. Orús and J. I. Latorre, “Universality of entanglement and quantum-computation complexity,” Physical Review A, Vol.69, 052308, 2004.
16. S. Ouchi, M. Fujishima, and K. Hoh, “An 8-Qubit Quantum-Circuit Processor,” IEEE Symp. on Circuits and Systems, pp. V-209-212, 2002.
17. J. Pykacz, “Fuzzy set ideas in quantum logics,” International Journal of Theoretical Physics, Vol.31, pp. 1767-1783, 1992.
18. J. Pykacz, “Fuzzy quantum logics as a basis for quantum probability theory,” International Journal of Theoretical Physics, Vol.37, pp. 281-290, 1998.
19. D. Ramot, M. Friedman, G. Langholz, and A. Kandel, “Complex fuzzy logic,” IEEE Transactions on Fuzzy Systems, Vol.11, No.4, pp. 450-461, 2003.
20. G. G. Rigatos and S. G. Tzafestas, “Parallelization of a fuzzy control algorithm using quantum computation,” IEEE Transactions on Fuzzy Systems, Vol.10, No.4, pp. 451-460, 2002.
21. G. G. Rigatos and S. G. Tzafestas, “Quantum learning for neural associative memories,” Fuzzy Sets and Systems, Vol.157, No.13, pp. 1797-1813, 2006.
22. J. Siewert and R. Fazio, “Quantum algorithms for Josephson Networks,” Physical Review Letters, Vol.87, 257905, 2001.
23. S. Sinha, T. Munakata, and W. L. Ditto, “Parallel computing with extended dynamical systems,” Physical Review E, Vol.65, 036214, 2002.
24. J. Virant, N. Zimic, and M. Mraz, “T-type fuzzy memory cells,” Fuzzy Sets and Systems, Vol.102, No.2, pp. 175-183, 1999.
25. H. Peyravi, A. Khoei, and K. Hadidi, “Design of an analog CMOS fuzzy logic controller chip,” Fuzzy Sets and Systems, Vol.132, No.2, pp. 245-260, 2002.