Quantum logical neural networks

Proceedings - 10th Brazilian Symposium on Neural Networks, SBRN 2008

Volumn , Issue , 2008, Pages 147-152

  De Oliveira Jr , Wilson R ^a   Silva, Adenilton J ^a   Ludermir, Teresa B ^b   Leonel, Amanda ^c   Galindo, Wilson R ^b   Pereira, Jefferson C C ^a  

^a UNIVERSIDADE FEDERAL RURAL DE PERNAMBUCO   (Brazil)

^b FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

^c FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

LEARNING ALGORITHMS; LEARNING SYSTEMS;

COMPUTATIONALLY EFFICIENT; MATHEMATICAL DESCRIPTIONS;

NEURAL NETWORKS;

EID: 58049220852     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SBRN.2008.9     Document Type: Conference Paper

References (31)

1. I. Aleksander. Self-adaptive universal logic circuits. Electronics Letters, 2(8):321-322, 1966.
2. M. V. Altaisky. Quantum neural network. Technical report, Joint Institute for Nuclear Research, Russia, 2001.
3. E. C. Behrman, L. R. Nash, J. E. Steck, V. G. Chandrashekar, and S. R. Skinner. Simulations of quantum neural networks. Information Sciences, 128(3-4):257-269, 2000.
4. A. I. Bobenko, P. Schröder, and J. M. Sullivan. Discrete Differential Geometry (Oberwolfach Seminars). Birkhäuser Basel, March 2008.
5. A. P. Braga, A. P. L. F. Carvalho, and T. B. Ludermir. Redes Neurais Artificiais: Teoria e Aplicaes. LTC, 2000.
6. W. R. de Oliveira, W. Galindo, A. Leonel, J. Pereira, and A. J. Silva. Redes neurais quǎnticas sem peso. In 2° Worshop-Escola em Computação e Informação Quântica, WECIQ 2007, Campina Grande, Pb, Outubro 2007.
7. D. Deutsch. Quantum theory, the Church-Turing principle and the universal quantum computer. Proceedings of the Royal Society of London Ser. A, A400:97-117, 1985.
8. D. Deutsch. Quantum computational networks. Proceedings of the Royal Society of London, A 425:73-90, 1989.
9. J. Faber and G. Giraldi. Quantum models of artificial neural networks. Electronically available: http://arquivosweb.lncc.br/pdfs/QNN-Review.pdf.
10. R. Feynman. Simulating physics with computers. International Journal of Theoretical Physics, 21:467, 1982.
11. V. Giovannetti, S. Lloyd, and L. Maccone. Quantum random access memory. Physical Review Letters, 100(16):160501, 2008.
12. G. Giraldi, R. Portugal, and R. Thess. Genetic algorithms and quantum computation. arXiv:cs/0403003v1 [cs.NE], 2004.
13. S. Gupta and R. K. P. Zia. Quantum neural networks. Journal of Computer and System Sciences, 63:355-383, 2001.
14. R. F. Herbster, W. L. Andrade, H. M. Gomes, and P. D. L. Machado. O estado da arte em redes neurais artificiais quânticas. Rev. Eletr. de Inic. Cient., IV:1-8, 2004.
15. M. Hillery, M. Ziman, and V. Bužek. Approximate programmable quantum processors. Physical Review A, 73(2):022345, 2006.
16. K. Hoffman and R. Kunze. Linear Algebra. Prentic-Hall, 1971.
17. S. C. Kak. On quantum neural computing. Information Sciences, 83(3&4):143-160, 1995.
18. N. Kouda, N. Matsui, H. Nishimura, and F. Peper. Qubit neural network and its learning efficiency. Neural Comput & Applic (2005) 14:114121, 2005.
19. T. B. Ludermir, A. Carvalho, A. P. Braga, and M. C. P. Souto. Weightless neural models: A review of current and past works. Neural Computing Surveys 2, 41-61, 1999.
20. J. Madore. An Introduction to Noncommutative Differential Geometry & Its Physical Applications. CUP, 2000.
21. W. S. McCulloch and W. Pitts. A logical calculus of the ideas imminent in nervous activity. Bulletin of Mathematical Biophysics, 5:115-133, 1930.
22. T. Menneer and A. Narayanan. Quantum-inspired neural networks. Technical Report R329, Department of Computer Science, University of Exeter, Exeter, UK, 1995.
23. N. D. Mermin. From cbits to qbits: Teaching computer scientists quantum mechanics. American Journal of Physics, 71:23, 2003.
24. A. Narayanan and T. Menneer. Quantum artificial neural networks architectures and components. Information Sciences, 128(3-4):231-255, 2000.
25. M. A. Nielsen and I. L. Chuang. Programmable quantum gate arrays. Phys. Rev. Lett., 79(2):321-324, Jul 1997.
26. M. A. Nielsen and I. L. Chuang. Quantum Computation and Quantum Information. Cambridge University Press, 2000.
27. F. Shafee. Neural networks with c-NOT gated nodes. Technical report, Department of Physics, Princeton University, Princeton, USA, 2004.
28. P.W. Shor. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J.SCI.STATIST.COMPUT., 26:1484, 1997.
29. N. Toronto and D. Ventura. Learning quantum operators from quantum state pairs. In IEEE World Congress on Computational Intelligence, pages 2607-2612, July 2006.
30. D. Ventura and T. Martinez. Quantum associative memory. Available at arXiv.org:quant-ph/9807053, 1998.
31. R. Zhou and Q. Ding. Quantum m-p neural network. Int J Theor Phys, 2007.