Share This Article:

Bifurcation and Pattern Recognition

DOI: 10.4236/jmp.2013.41005    2,981 Downloads   4,904 Views   Citations
Author(s)    Leave a comment


We propose a new approach in dealing with image recognition. We suggest that recognizing an image is related to the knowledge of a pure quantum state. Since most images are screened through incoherent photons, we introduce a method base on non-linear mapping iterations to regenerate coherence between the image photons.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Y. Roth, "Bifurcation and Pattern Recognition," Journal of Modern Physics, Vol. 4 No. 1, 2013, pp. 25-29. doi: 10.4236/jmp.2013.41005.


[1] H. Schanz, T. Dittrich and R. Ketzmerick, “Directed Chaotic Transport in Hamiltonian Ratchets,” Physical Review E, Vol. 71, No. 2, 2005, Article ID: 026228. Hdoi:10.1103/PhysRevE.71.026228
[2] W. H. Zurek, “Decoherence, Einselection, and the Quantum Origins of the Classical,” Reviews of Modern Physics, Vol. 75, No. 3, 2003, pp. 715-775. Hdoi:10.1103/RevModPhys.75.715
[3] W. H. Zurek, “Decoherence and the Transition from Quantum to Classical,” Physics Today, Vol. 44, No. 10, 1991, p. 36. Hdoi:10.1063/1.881293
[4] Y. Roth, “The Quantum Observer’s Consciousness,” EPL, Vol. 82, 2008, Article ID: 10006.
[5] Y. Roth, “The Observer Determination,” International Journal of Theoretical Physics, Vol. 51, No. 12, 2012, pp. 3847-3855.
[6] R. Penrose, “The Road to Reality: A Complete Guide to the Laws of the Universe,” Vintage Books, New York, 2004.
[7] A. Bassi, “Dynamical Reduction Models: Present Status and Future Developments,” Journal of Physics: Conference Series, Vol. 67, 2007, Article ID: 012013.
[8] A. Bassi and D. G. M. Salvetti, “The Quantum Theory of Measurement within Dynamical Reduction Models,” Journal of Physics A: Mathematical and Theoretical, Vol. 40, No. 32, 2007, p. 9859. Hdoi:10.1088/1751-8113/40/32/011
[9] W. H. Zurek, “Decoherence and the Transition from Quantum to Classical,” Physics Today, Vol. 44, 1991, pp. 36-44. arXiv: quant-ph/0306072v1.
[10] S. L. Adler, et al., “Collapse Models with Non-White Noises,” Journal of Physics A: Mathematical and Theoretical, Vol. 40, No. 50, 2007, pp. 15083-15098. Hdoi:10.1088/1751-8113/40/50/012
[11] G. C. Ghirardi, A. Rimini and T. Weber, “Unified Dynamics for Microscopic and Macroscopic Systems,” Phy- sical Review D, Vol. 34, No. 2, 1986, pp. 470-491.
[12] J. D. Crawford, “Introduction to Bifurcation Theory,” Reviews of Modern Physics, Vol. 63, No. 4, 1991, pp. 991-1037. Hdoi:10.1103/RevModPhys.63.991
[13] A. Wolf, J. B. Swift, H. L. Swinney and J. A. Vastano, “Determining Lyapunov Exponents from a Time Series,” Physica D, Vol. 16, No. 3, 1985, pp. 285-317. Hdoi:10.1016/0167-2789(85)90011-9
[14] A. Y. Vlasov, 1996. arXiv:quant-ph/9703010
[15] D. Deutsch, “Quantum Theory, the Church-Turing Principle and the Universal Quantum Computer,” Proceedings of the Royal Society A, Vol. 400, No. 1818, 1985, pp. 97-117. Hdoi:10.1098/rspa.1985.0070
[16] M. A. Nielsen and I. L. Chuang, “Quantum Computation and Quantum Information,” Cambridge University Press, Cambridge, 2000.
[17] U. Fayyad, G. Piatetsky-Shapiro and P. Smyth, “From Data Mining to Knowledge Discovery in Databases,”AI Magazine, Vol. 17, No. 3, 1996, pp. 37-54.

comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.