Skip to main content
SpringerLink
Log in

Teleportation of a continuous variable

  • Nuclei, Particles, and Their Interaction
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

Measurements used in quantum teleportation are examined from the standpoint of the general theory of quantum-mechanical measurements. It is shown that in order to find a teleported state, it is sufficient to know only the resolution of the identity operator (positive operator-valued measure) generated by the respective instrument (the quantum operation determining the change in the state of the system as a result of the measurement) in the state space of the system, rather than the instrument itself. A protocol for quantum teleportation of the state of a system with a nondegenerate continuous spectrum based on a measurement which corresponds to a certain nonorthogonal resolution of the identity operator is proposed.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. 70, 1895 (1993).

    Article  ADS  MathSciNet  Google Scholar 

  2. L. Vaidman, Phys. Rev. A 49, 1473 (1994).

    Article  ADS  MathSciNet  Google Scholar 

  3. S. L. Braunstein and H. J. Kimble, Phys. Rev. Lett. 80, 869 (1998).

    ADS  Google Scholar 

  4. M. Ozawa, J. Math. Phys. 34, 5596 (1993).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  5. K. Kraus, States, Effects and Operations, Springer-Verlag, Berlin (1983).

    Google Scholar 

  6. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory, North-Holland, Amsterdam-New York (1982) [Russ. original, Nauka, Moscow (1980)].

    Google Scholar 

  7. J. von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton University, Princeton, NJ (1955).

  8. G. Lüders, Ann. Phys. (Leipzig) 8(6), 322 (1951).

    MATH  Google Scholar 

  9. M. A. Nielsen and C. M. Caves, LANL E-print Archives http://xxx.lanl.gov/abs/quant-ph/9608001.

  10. S. N. Molotkov, Phys. Lett. A 245, 339 (1998); LANL E-print Archives http: //xxx.lanl.gov/abs/quant-ph/9805045.

    Article  ADS  Google Scholar 

  11. S. N. Molotkov, JETP Lett. 68, 263 (1998); LANL E-print Archives http: //xxx.lanl.gov/abs/quant-ph/9807013.

    Article  ADS  Google Scholar 

  12. P. van Loock, S. L. Braunstein, and H. J. Kimble, LANL E-print Archives http: //xxx.lanl.gov/abs/quant-ph/9902030.

Download references

Author information

Authors and Affiliations

  1. Institute of Solid-State Physics, Russian Academy of Sciences, 142432, Chernogolovka, Moscow Region, Russia

    S. N. Molotkov & S. S. Nazin

Authors
  1. S. N. Molotkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. S. Nazin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Zh. Éksp. Teor. Fiz. 116, 777–792 (September 1999)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Molotkov, S.N., Nazin, S.S. Teleportation of a continuous variable. J. Exp. Theor. Phys. 89, 413–420 (1999). https://doi.org/10.1134/1.558998

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.558998

Keywords

Search

Navigation