Skip to main content
SpringerLink
Log in

These from Bits

  • Chapter
  • First Online:
It From Bit or Bit From It?

Part of the book series: The Frontiers Collection ((FRONTCOLL))

Abstract

When answering the question of what properties a material has, a theoretical physicist may ask. “What is its Hamiltonian?” or “What is its Lagrangian?” Most physicists seem to believe that every physical property of a material can be predicted once the Hamiltonian or Lagrangian of some physical phenomena are known.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 99.99
Price excludes VAT (USA)
  • Durable hardcover 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

Notes

  1. 1.

    “IMS” stands for “Institute for Molecular Science,” which is the author’s working institute.

  2. 2.

    Shannon originally showed that there exists some lower bound of the (reversible) compression process such that \(N H (p) \le \tilde{N} < N H (p) + 1\) for any \(N\)-bit string.

  3. 3.

    The same authors recently showed that nonequilibrium thermodynamics cannot, in general, be defined in the same way [10].

  4. 4.

    We consider the optimal erasure cost because equilibrium thermodynamics can be equated to equilibrium statistical mechanics.

  5. 5.

    Our approach is completely different from that of Jaynes [11], as seen in Ref. [9, Appendix B].

References

  1. L. Brillouin, Science and Information Theory (Dover, New York, [1956, 1962] 2004)

    Google Scholar 

  2. C.E. Shannon, Bell Syst. Tech. J. 27, 379 (1948), 623 (1948)

    Google Scholar 

  3. E.H. Lieb, J. Yngvason, Phys. Rep. 310, 1 (1999)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  4. J.C. Maxwell, Theory of Heat (Longmans, Green, London, 1871), pp. 308–309

    Google Scholar 

  5. R. Landauer, IBM J. Res. Dev. 5, 183 (1961)

    Article  MATH  MathSciNet  Google Scholar 

  6. C.H. Bennett, IBM J. Res. Dev. 17, 525 (1973)

    Article  MATH  Google Scholar 

  7. C.H. Bennett, Int. J. Theor. Phys. 21, 905 (1982)

    Article  Google Scholar 

  8. A. Hosoya, K. Maruyama, Y. Shikano, Phys. Rev. E 84, 061117 (2011)

    Article  ADS  Google Scholar 

  9. A. Hosoya, K. Maruyama, Y. Shikano, arXiv:1301.4854

  10. E.H. Lieb, J. Yngvason, Proc. R. Soc. A 469, 20130408 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  11. E.T. Jaynes, Phys. Rev. 106, 620 (1957)

    Article  ADS  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Research Center of Integrative Molecular Systems (CIMoS), Institute for Molecular Science, Okazaki, 444-8585, Japan

    Yutaka Shikano

  2. Institute for Quantum Studies, Chapman University, Orange, CA, 92866, USA

    Yutaka Shikano

Authors
  1. Yutaka Shikano
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yutaka Shikano .

Editor information

Editors and Affiliations

  1. Department of Physics, University of California, Santa Cruz, California, USA

    Anthony Aguirre

  2. Foundational Questions Institute, New York, New York, USA

    Brendan Foster

  3. Foundational Questions Institute, New York, New York, USA

    Zeeya Merali

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Shikano, Y. (2015). These from Bits. In: Aguirre, A., Foster, B., Merali, Z. (eds) It From Bit or Bit From It?. The Frontiers Collection. Springer, Cham. https://doi.org/10.1007/978-3-319-12946-4_10

Download citation

Publish with us

Policies and ethics

Search

Navigation