Skip to main content
SpringerLink
Log in

Strengthened Lindblad Inequality: Applications in Non-equilibrium Thermodynamics and Quantum Information Theory

  • Conference paper
  • First Online:
Quantum Computing and Quantum Communications (QCQC 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1509))

  • 2415 Accesses

Abstract

Strengthened Lindblad inequality has been proved. We have applied this results for proving a generalized H-theorem in non equilibrium thermodynamics. Information processing also can be considered as some thermodynamically process. From this point of view we have proved strengthened data processing inequality in quantum information theory.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. F. Shlogl, Phys. Rep., 62, 268, (1980).

    Google Scholar 

  2. R.L. Stratanovich, Information Theory, 1975, Moscow, Nauka.

    Google Scholar 

  3. R.L. Stratanovich, Nonequilibriun, Nonlinear Thermodynamics, 1985, Moscow, Nauka.

    Google Scholar 

  4. R.P. Poplavsky, Thermodynamics of information processes, 1981, Moscow, Nauka.

    Google Scholar 

  5. S.M. Barnett and S.J.D. Phoenix, Phys. Rev. A 44, 535, (1991).

    Google Scholar 

  6. B. Schumacher, Phys. Rev. A 54, 2614, (1996).

    Google Scholar 

  7. B. Schumacher and M.A. Nielsen, Phys. Rev. A 54, 2629, (1996).

    MathSciNet  Google Scholar 

  8. A.E. Allahverdyan and D.B. Saakian, eprint quant-ph/9702023.

    Google Scholar 

  9. S. Lloyd, Phys. Rev. A 55, R1613–1622, (1997); also e-print quant-ph/9604015.

    MathSciNet  Google Scholar 

  10. K. Kraus, Ann. Phys., 64, 311, (1971).

    Article  MathSciNet  Google Scholar 

  11. M. Ohya, Rep. Math. Phys., 27, 19, (1989).

    Article  MATH  MathSciNet  Google Scholar 

  12. H. Umegaki, Kodai Math. Sem. Rep., 14, 59, (1962).

    Article  MATH  MathSciNet  Google Scholar 

  13. G. Lindblad, Commun. Math. Phys., 40, 147, (1975).

    Article  MATH  MathSciNet  Google Scholar 

  14. S.J.D. Phoenix and P.L. Knight, Ann. Phys. (N.Y) 186, 381, (1988).

    Article  MATH  Google Scholar 

  15. C.H. Bennett, C.A. Fuchs, J.A. Smolin, eprint quant-ph/9611006.

    Google Scholar 

  16. I. Csiszar, J. Korner, Information Theory, 1982.

    Google Scholar 

  17. F. Gantmacher, The Theory of matrices, Moscow, Nauka 1983.

    Google Scholar 

  18. H. Barnum, M.P. Nielsen, B. Schumacher, eprint quant-ph/9702049.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Yerevan Physics Institute, Alikhanian Brothers St.2, Yerevan, 375036, Armenia

    D. B. Saakian & A. E. Allahverdyan

Authors
  1. D. B. Saakian
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. E. Allahverdyan
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Jet Propulsion Laboratory, California Institute of Technology Quantum Algorithms and Technologies Group Information and Computing Technologies Research Section, Mail Stop 126-347, Pasadena, CA, 91109-8099, USA

    Colin P. Williams

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Saakian, D.B., Allahverdyan, A.E. (1999). Strengthened Lindblad Inequality: Applications in Non-equilibrium Thermodynamics and Quantum Information Theory. In: Williams, C.P. (eds) Quantum Computing and Quantum Communications. QCQC 1998. Lecture Notes in Computer Science, vol 1509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49208-9_26

Download citation

  • DOI: https://doi.org/10.1007/3-540-49208-9_26

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65514-5

  • Online ISBN: 978-3-540-49208-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation