Skip to main content
SpringerLink
Log in

Properties of Quantum Cryptography Based on Orthogonal States: Goldenberg and Vaidman Scheme

  • Chapter
Quantum Communication, Computing, and Measurement

  • 1215 Accesses

Abstract

Properties of quantum key distribution scheme based on orthogonal quantum states proposed by Goldenberg and Vaidman (GV scheme) are theoretically clarified. First, it is shown that multiple-particle sources can be applied to the GV scheme instead of single-particle ones. Then, probabilities that an eavesdropper is detected is given for an eavesdropping method which is a simple modification of that used to show the security of the scheme. Finally, the security of the GV scheme against the eavesdropping method is discussed based on 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. For example, C. H. Bennett and G. Brassard, in Proc. of the IEEE Int. Conf. on Computers, Systems, and Signal Processing, Bangalore, India (IEEE, New York, 1984), pp.175–179. and A. K. Ekert, Phys. Rev. Lett. 67, 661 (1991).

    Google Scholar 

  2. W. K. Wootters and W. H. Zurek, Nature 299, 802 (1982).

    Article  ADS  Google Scholar 

  3. A. K. Ekert, B. Huttner, G. M. Palma and A. Peres, Phys. Rev. A 50, 1047 (1994).

    ADS  Google Scholar 

  4. N. Lütkenhaus, Phys. Rev. A 54, 97 (1996).

    ADS  Google Scholar 

  5. L. Goldenberg and L. Vaidman, Phys. Rev. Lett. 75, 1239 (1995).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. M. Ban, M. Osaki and O. Hirota, J. Mod. Opt. 43, 2337 (1996).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tamagawa University, Japan

    Kouichi Yamazaki, Takashi Matsui & Osamu Hirota

Authors
  1. Kouichi Yamazaki
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Takashi Matsui
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Osamu Hirota
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Tamagawa University, Machida, Tokyo, Japan

    O. Hirota

  2. Steklov Mathematical Institute, Moscow, Russia

    A. S. Holevo

  3. University of New Mexico, Albuquerque, New Mexico, USA

    C. M. Caves

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media New York

About this chapter

Cite this chapter

Yamazaki, K., Matsui, T., Hirota, O. (1997). Properties of Quantum Cryptography Based on Orthogonal States: Goldenberg and Vaidman Scheme. In: Hirota, O., Holevo, A.S., Caves, C.M. (eds) Quantum Communication, Computing, and Measurement. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5923-8_15

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-5923-8_15

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7716-0

  • Online ISBN: 978-1-4615-5923-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation