Skip to main content

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4681))

Included in the following conference series:

Abstract

The storage capacity of the conventional neural network is 0.14 times of the number of neurons (P=0.14N). Due to the huge difficulty in recognizing large number of images or patterns,researchers are looking for new methods at all times. Quantum Neural Network (QNN), which is a young and outlying science built upon the combination of classical neural network and quantum computing,is a candidate to solve this problem.This paper presents Quantum Probability Distribution Network (QPDN) whose elements of the storage matrix are distributed in a probabilistic way on the base of quantum linear superposition and applies QPDN on image recognition. Contrasting to the conventional neural network, the storage capacity of the QPDN is increased by a factor of 2N,where N is the number of neurons. Besides,the case analysis and simulation tests have been carried out for the recognition of images in this paper, and the result indicates that QPDN can recognize the images or patterns effectively and its working process accords with quantum evolvement process.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Kak, S.C.: On Quantum Neural Computing. Information Sciences 83, 143–160 (1995)

    Article  Google Scholar 

  2. Perus, M.: Neuro-quantum Parallelism in Brain-mind and Computer. Information 183, 173–183 (1996)

    Google Scholar 

  3. Menneer, T.: Quantum Artificial Neural Networks. Ph.D. Thesis of The Univ.of Exeter, UK (1998)

    Google Scholar 

  4. Menneer, T., Narayanan, A.: Quantum-inspired Neural Networks. Tech. Rep. R329, Univ. of Exeter (1995)

    Google Scholar 

  5. Ventura, D., Martinez, T.R.: Quantum Associative Memory. Information Sciences 124, 273–296 (2000)

    Article  Google Scholar 

  6. Li, W.G.: Entangled Neural Networks, http://www.cic.unb.br/~weigang/qc/enn2000.pdf

  7. Li, W.G.: Quantum Neural Computing Study, http://www.cic.unb.br//~weigang/qc/enn2000. pdf

  8. Shafee, F.: Entangled Quantum Networks. Technical Report (2002), http://arxiv.org/ftp/quantph/ papers/0203/0203010.pdf

  9. Kouda, N., Matsui, N., Nishimura, H., Peper, F.: Qubit Neural Network and Its Efficiency. In: Palade, V., Howlett, R.J., Jain, L. (eds.) KES 2003. LNCS, vol. 2774, pp. 304–310. Springer, Heidelberg (2003)

    Google Scholar 

  10. Kouda, N., Matsui, N., Nishimura, H., et al.: Qubit Neural Network and Its Learning Efficiency. In: Neural Computing and Applications, Springer, Heidelberg (2005), doi:10.1007/s00521-004-0446-8

    Google Scholar 

  11. Kouda, N., Matsui, N., Nishimura, H., et al.: An Examination of Qubit Neural Network in Contro- lling An Inverted Pendulum. Neural Processing Letters 22, 277–290 (2005)

    Article  Google Scholar 

  12. Kouda, N., Matsui, N., Nishimura, H.: Image Compression by Layered Quantum Neural Networks. Neural Processing Letters 16(1), 67–80 (2002)

    Article  MATH  Google Scholar 

  13. Loo, C., Kiong, P.M., Bischof, H.: Associative Memory Based Image and Object Recognition by Quantum Holography. Open Sys. & Information Dyn. 11, 277–289 (2004)

    Article  MATH  Google Scholar 

  14. SanjayGupta, R.K.P.Z.: Quantum Neural Networks.arXiv:quant-ph/02011 44v1 (January 30, 2002)

    Google Scholar 

  15. Zhang, Y.D.: Quantum Mechanics (In Chinese). Science Press, Beijing, China (2002)

    Google Scholar 

  16. Mitja, P.H.B., Tarik, H.: A Natural Quantum Neural-Like Network. NeuroQuantology (3), 151–163 (2005)

    Google Scholar 

  17. Martin, T., Howard, H., Demuth, B., Kui, D.: Neural Network Design. China Machine Press (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

De-Shuang Huang Laurent Heutte Marco Loog

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Zhou, R. (2007). Quantum Probability Distribution Network. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2007. Lecture Notes in Computer Science, vol 4681. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74171-8_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74171-8_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74170-1

  • Online ISBN: 978-3-540-74171-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics