Skip to main content

Quantum Metrology and Quantum Information Processing with Hyper-Entangled Quantum States

  • Conference paper
Quantum Communication and Information Technologies

Part of the book series: NATO Science Series ((NAII,volume 113))

Abstract

A pair of photons generated in the nonlinear process of spontaneous parametric down conversion is, in general, entangled so as to contain strong energy, time, polarization, and momentum quantum correlations. This entanglement involving more than one pair of quantum variable, known as hyper-entanglement entanglement, serves as a powerful tool in fundamental studies of foundations of the quantum theory, in the development of novel information processing techniques, and in the construction of new quantum measurement technologies, such as quantum ellipsometry.

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

Access this chapter

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
Hardcover Book
USD 54.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M., Atatüre, G. Di Giuseppe, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 65, 023808, 2002.

    Article  ADS  Google Scholar 

  2. G. Di Giuseppe, L. Haiberger, F. De Martini, and A. V. Sergienko, Phys. Rev. A 56, R21, 1997; T. E. Keller and M. H. Rubin, Phys. Rev. A 56, 1534, 1997; W. P. Grice, R. Erdmann, I. A. Walmsley, and D. Branning, Phys. Rev. A 57, R2289, 1998.

    Article  ADS  Google Scholar 

  3. P. G. Kwiat, and R. Y. Chiao, Phys. Rev. A 45, 6659 1992.

    Article  ADS  Google Scholar 

  4. H.-B. Fei, B. M. Jost, S. Popescu, B. E. A. Saleh, and M. C. Teich, Phys. Rev. Lett. 78, 1679, 1997.

    Article  ADS  Google Scholar 

  5. B. E. A. Saleh, B. M. Jost, H.-B. Fei, and M. C. Teich, Phys. Rev. A 57, 3972, 1998.

    Article  ADS  Google Scholar 

  6. E. Schrödinger, Naturwissenschaften 23, 807, 1935; 23, 823 (1935); 23, 844, 1935 [Translation: J. D. Trimmer, Proc. Am. Phil. Soc. 124, 323, 1980; reprinted in Quantum Theory and Measurement, edited by J. A. Wheeler and W. H. Zurek (Princeton University Press, Princeton, 1983)].

    Article  ADS  Google Scholar 

  7. A. Einstein, B. Podolsky and N. Rosen, Phys. Rev. 47, 777, 1935.

    Article  ADS  MATH  Google Scholar 

  8. C.S. Wu, and I. Shaknov, The angular correlation of scattered annihilation radiation, Phys. Rev. Lett. 77, 136, 1950.

    ADS  Google Scholar 

  9. D. Bohm, Quantum Theory (Prentice Hall, Englewood Cliffs, NJ, 1951) p. 614.

    Google Scholar 

  10. D. Bohm, and Y. Aharonov, Phys. Rev. 108, 1070, 1957.

    Article  MathSciNet  ADS  Google Scholar 

  11. J. S. Bell, Physics 1, 195, 1964.

    Google Scholar 

  12. A. Aspect, J. Dalibard and G. Roger, Phys. Rev. Lett. 49, 1804, 1982; A. Aspect, P. Grangier and G. Roger, Phys. Rev. Lett. 47, 460, 1981.

    Article  MathSciNet  ADS  Google Scholar 

  13. N. Bloembergen, Nonlinear optics and spectroscopy, Rev. Mod. Phys. 54, 685, 1982.

    Article  ADS  Google Scholar 

  14. D. C. Burnham, and D. L. Weinberg, Phys. Rev. Lett. 25, 84, 1970.

    Article  ADS  Google Scholar 

  15. A. A. Malygin, A. N. Penin and A. V. Sergienko, Sov. Phys. JETP Lett. 33, 477, 1981; A. A. Malygin, A. N. Penin and A. V. Sergienko, Sov. Phys. Dokl. 30, 227, 1981.

    ADS  Google Scholar 

  16. P. G. Kwiat, E. Waks, A.J. White, I. Appelbaum and P.H. Eberhard, Phys. Rev. A 60, R773, 1999.

    Article  ADS  Google Scholar 

  17. B. E. A. Saleh, A. Joobeur, and M. C. Teich, Phys. Rev. A 57, 3991, 1998.

    Article  ADS  Google Scholar 

  18. C. K. Hong, Z. Y. Ou and L. Mandel, Phys. Rev. Lett. 59, 2044, 1987.

    Article  ADS  Google Scholar 

  19. C. K. Hong, Z. Y. Ou, and L. Mandel, Phys. Rev. Lett. 59, 2044, 1987); P. G. Kwiat, A. M. Steinberg, and R. Y. Chiao, Phys. Rev. A 47, R2472, 1993.

    Article  ADS  Google Scholar 

  20. J. G. Rarity and P. R. Tapster, Phys. Rev. Lett. 64, 2495, 1990.

    Article  ADS  Google Scholar 

  21. Z. Y. Ou and L. Mandel, Phys. Rev. Lett. 61, 50, 1988; Y. H. Shih and C. O. Alley, Phys. Rev. Lett. 61, 2921, 1988; Y. H. Shih and A. V. Sergienko, Phys. Lett. A 191, 201, 1994; P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, Phys. Rev. Lett. 75, 4337, 1995.

    Article  MathSciNet  ADS  Google Scholar 

  22. A. Joobeur, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 50, 3349, 1994; C. H. Monken, P. H. Souto Ribeiro, and S. Pádua, Phys. Rev. A, 57, 3123, 1998.

    Article  ADS  Google Scholar 

  23. M. Atatüre, G. Di Giuseppe, M. D. Shaw, A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 66, 023822, 2002.

    Article  ADS  Google Scholar 

  24. T. B. Pittman, D. V. Strekalov, D. N. Klyshko, M. H. Rubin, A. V. Sergienko, and Y. H. Shih, Phys. Rev. A 53, 2804, 1996.

    Article  ADS  Google Scholar 

  25. B. E. A. Saleh, A. F. Abouraddy, A. V. Sergienko, and M. C. Teich, Phys. Rev. A 62, 043816, 2000.

    Article  ADS  Google Scholar 

  26. M. Atatüre, A. V. Sergienko, B. M. Jost, B. E. A. Saleh, and M. C. Teich, Phys. Rev. Lett. 83, 1323, 1999.

    Article  ADS  Google Scholar 

  27. J. Peřina Jr., A. V. Sergienko, B. M. Jost, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A 59, 2359, 1999.

    Article  ADS  Google Scholar 

  28. A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich Phys. Rev. Lett. 87, 123602, 2001.

    Article  ADS  Google Scholar 

  29. A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, J. Opt. Soc. Am. B, 19, 1174, 2002.

    Article  ADS  Google Scholar 

  30. A. F. Abouraddy, M. B. Nasr, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. A 65, 053817, 2002.

    Article  ADS  Google Scholar 

  31. A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Optics Express, 9, pp.498, 2001.

    Article  ADS  Google Scholar 

  32. W. K. Wootters and W. H. Zurek, Nature 299, 802, 1982.

    Article  ADS  Google Scholar 

  33. C. H. Bennett and G. Brassard, Proceedings of the International Conference on Computer Systems and Signal Processing, Bangalore, 1984, p. 175.

    Google Scholar 

  34. A. K. Ekert, Phys. Rev. Lett., 67, 661, 1991.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  35. A.V. Sergienko, M. Atatüre, Z. Walton, G. Jaeger, B.E.A. Saleh and M.C. Teich, Phys. Rev. A 60, R2622, 1999.

    Article  ADS  Google Scholar 

  36. T. Jennewein, C. Simon, G. Weihs, H. Weinfurter and A. Zeilinger, Phys. Rev. Lett. 84, 4729, 2000.

    Article  ADS  Google Scholar 

  37. W. Tittel, J. Brendel, H. Zbinden and N. Gisin, Phys. Rev. Lett. 84, 4737, 2000.

    Article  ADS  Google Scholar 

  38. E. Dauler, G. Jaeger, A. Muller, A. Migdall and A. V. Sergienko, J. Res. NIST, 104, 1, 1999.

    Google Scholar 

  39. D. Branning, A. L. Migdall, A. V. Sergienko, Phys. Rev. A, 62, 063808, 2000.

    Article  ADS  Google Scholar 

  40. A. F. Abouraddy, K. C. Toussaint, Jr., A. V. Sergienko, B. E. A. Saleh, and M. C. Teich, J. Opt. Sci. Am. B 19 656, 2002.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Sergienko, A.V., Jaeger, G.S., Di Giuseppe, G., Saleh, B.E.A., Teich, M.C. (2003). Quantum Metrology and Quantum Information Processing with Hyper-Entangled Quantum States. In: Shumovsky, A.S., Rupasov, V.I. (eds) Quantum Communication and Information Technologies. NATO Science Series, vol 113. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0171-7_2

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0171-7_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1453-6

  • Online ISBN: 978-94-010-0171-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics