Superposition based learning algorithm

Proceedings - 2010 11th Brazilian Symposium on Neural Networks, SBRN 2010

Volumn , Issue , 2010, Pages 1-6

  Silva, Adenilton J ^a   Ludermir, Teresa B ^a   De Oliveira Jr , Wilson R ^b  

^a FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

^b UNIVERSIDADE FEDERAL RURAL DE PERNAMBUCO   (Brazil)

Author keywords

Neural networks; Quantum computation; Quantum search; RAM based neural networks

Indexed keywords

DESIGN OF ALGORITHMS; GROVER'S SEARCH ALGORITHM; QUANTUM COMPUTATION; QUANTUM COMPUTING; QUANTUM MEMORIES; QUANTUM NEURAL NETWORKS; QUANTUM SEARCH; QUANTUM SEARCH ALGORITHM; QUANTUM SYSTEM; RAM-BASED NEURAL NETWORKS; SHOR'S FACTORING ALGORITHM; TRAINING SETS;

COMPUTATIONAL EFFICIENCY; COMPUTATIONAL LINGUISTICS; LEARNING ALGORITHMS; PATTERN RECOGNITION; QUANTUM COMPUTERS; QUANTUM ELECTRONICS; QUANTUM ENTANGLEMENT; QUANTUM OPTICS; RANDOM ACCESS STORAGE;

NEURAL NETWORKS;

EID: 79952557463     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SBRN.2010.9     Document Type: Conference Paper

References (21)

1. C. Monroe, "Quantum information processing with atoms and photons," Nature, vol. 416, pp. 238 - 246, 2002. (Pubitemid 34246487)
2. P. W. Shor, "Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer," SIAM Journal on Computing, vol. 26, no. 5, pp. 1484-1509, 1997. (Pubitemid 127613100)
3. L. K. Grover, "Quantum mechanics helps in searching for a needle in a haystack," Phys. Rev. Lett., vol. 79, no. 2, pp. 325-328, Jul 1997. (Pubitemid 127647510)
4. W. Oliveira, A. J. Silva, T. B. Ludermir, A. Leonel, W. Galindo, and J. Pereira, "Quantum logical neural networks," Neural Networks, 2008. SBRN '08. 10th Brazilian Symposium on, pp. 147-152, oct. 2008.
5. 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, vol. 2, pp. 41-61, 1999.
6. W. R. de Oliveira and A. J. Silva, "Quantum RAM based neural networks and their relation to quantum automata," 2010, unpublished manuscript.
7. I. Aleksander, "Self-adaptive universal logic circuits," Electronics Letters, vol. 2, no. 8, pp. 321-322, 1966.
8. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information. Cambridge University Press, 2000.
9. R. Feynman, "Simulating physics with computers," International Journal of Theoretical Physics, vol. 21, pp. 467-488, 1982.
10. D. Deutsch, "Quantum theory, the Church-Turing principle and the universal quantum computer," Proceedings of the Royal Society of London Ser. A, vol. 400, no. 1818, pp. 97-117, 1985. (Pubitemid 15563359)
11. -, "Quantum computational networks," Proceedings of the Royal Society of London, vol. A 425, pp. 73-90, 1989.
12. N. Weaver, Mathematical Quantization, ser. Studies in Advanced Mathematics. Boca Raton, Florida: Chapman & Hall/CRC, 2001.
13. K. Hoffman and R. Kunze, Linear Algebra. Prentic-Hall, 1971.
14. S. C. Kak, "On quantum neural computing," Information Sciences, vol. 83, no. 3, pp. 143-160, 1995.
15. T. Menneer and A. Narayanan, "Quantum-inspired neural networks," Department of Computer Science, University of Exeter, Exeter,United Kingdom, Technical Report R329, 1995. [Online]. Available: citeseer.ist.psu.edu/menneer95quantuminspired.html
16. D. Ventura and T. Martinez, "Quantum associative memory," Information Sciences, vol. 124, no. 1-4, pp. 273 - 296, 2000. (Pubitemid 30577733)
17. M. V. Altaisky, "Quantum neural network," Joint Institute for Nuclear Research, Russia, Technical report, 2001, available online at the Quantum Physics repository:arXiv:quant-ph/0107012v2.
18. I. Aleksander, M. de Gregorio, F. França, P. Lima, and H. Morton, "A brief introduction to weightless neural systems," in European Symposium on Artificial Neural Networks, 2009. Proceedings., April 2009, pp. 299-305.
19. A. F. D. Souza and at. al., "Automated multi-label text categorization with VG-RAM weightless neural networks," Neurocomputing, vol. 72, no. 10-12, pp. 2209 - 2217, 2009.
20. W. Oliveira, "Quantum ram based neural networks," in European Symposium on Artificial Neural Networks, 2009. Proceedings., April 2009, pp. 331-336.
21. C. Trugenberger, "Probabilistic quantum memories," Phys. Rev. Lett., vol. 87, no. 6, p. 067901, Jul 2001.