Skip to main content

Physics of Computation: From Classical to Quantum

  • Chapter
  • 185 Accesses

Part of the book series: NATO Science Series ((NAII,volume 63))

Abstract

In this lecture, I give an introduction into the physics of computation. The emphasis will be on the development of the field, leading from the thermodynamics of computation to reversible computation and to quantum computing, and on the basic physical aspects. The development of the foundations of quantum computing was essentially completed by 1996. I will not cover the vast multitude of applications published after that date. Also the highly interesting areas of quantum cryptography, quantum communications and teleportation remain outside the scope of the present lecture.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Feynman, R.P.: Feynman Lectures on Computation;edited by A.J.G. Hey and R.W. Allen, Addison-Wesley, Reading, 1996.

    Google Scholar 

  2. Landauer, R.: Computation: A fundamental physical view. Physica Scripta 35 (1987) 88–95

    Article  ADS  Google Scholar 

  3. Bennett, C.H.: The thermodynamics of computation - a review. Int. J. Theor. Phys. 21 (1982) 905–94.

    Article  Google Scholar 

  4. Bennett, C.H.: Notes on the history of reversible computation. IBM J. Res. Dev. 32 (1988) 16–23.

    Article  Google Scholar 

  5. Rolf Landauer: Uncertainty Principle and Minimal Energy Dissipation in the Computer. Int. J. Theor. Phys. 21 (1982) 283–297.

    Article  MATH  Google Scholar 

  6. Predkin, E., T. Toffoli: Conservative Logic. Int. J. Theor. Phys. 21 (1982) 219–253.

    Article  Google Scholar 

  7. Likharev, K.K.: Classical and Quantum Limitations on Energy Consumption in Computation. Int. J. Theor. Phys. 21 (1982) 311–326.

    Article  Google Scholar 

  8. Benioff, P.A.: Quantum Mechanical Hamiltonian Models of Discrete Processes That Erase Their Own Histories: Application to Turing Machines.Int. J. Theor. Phys. 21 (1982) 177–201.

    Article  MathSciNet  MATH  Google Scholar 

  9. Feynman, R.P.: Simulating Physics with Computers. Int. J. Theor. Phys. 21 (1982) 467–488.

    Article  MathSciNet  Google Scholar 

  10. DiVincenzo, D.P.: Quantum Computation. Science 270 (1995) 255–261.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. Ekert, A., R. Jozsa: Quantum computation and Shor’s factoring algorithm. Rev. Mod. Phys. 68 (1996) 733–753.

    Article  MathSciNet  ADS  Google Scholar 

  12. Barenco, A.: Quantum physics and computers. Contemporary Physics 37 (1996) 375–389.

    Article  ADS  Google Scholar 

  13. Bennett, C.H., D.P. DiVincenzo: Quantum information and computation. Nature 404 (2000) 247–254.

    Article  ADS  Google Scholar 

  14. Burkard, D., H.-A. Engel, D. Loss: Spintronics and Quantum Dots for Quantum Computing and Quantum Communication. Fortschr. Phys. 48 (2000) 965–986.

    Article  Google Scholar 

  15. Li, M., P. Vitányi: An Introduction to Kolmogorov Complexity and its Applications, Springer-Verlag, New York, 1997, 1993.

    Google Scholar 

  16. Maxwell’s Demon. Entropy, Information, Computing;Edited by Harvey S. Leff and Andrew F. Rex, Adam Hilger, Bristol, 1990.

    Google Scholar 

  17. Brillouin, L.: Science and Information Theory, Academic Press, New York, 1956.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Thomas, H. (2002). Physics of Computation: From Classical to Quantum. In: Skjeltorp, A.T., Vicsek, T. (eds) Complexity from Microscopic to Macroscopic Scales: Coherence and Large Deviations. NATO Science Series, vol 63. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0419-0_1

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0419-0_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0634-0

  • Online ISBN: 978-94-010-0419-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics