OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 33, Iss. 18 — Sep. 15, 2008
  • pp: 2119–2121

On the distinguishability of downconverted modes with orbital angular momentum

Geraldo Alexandre Barbosa  »View Author Affiliations


Optics Letters, Vol. 33, Issue 18, pp. 2119-2121 (2008)
http://dx.doi.org/10.1364/OL.33.002119


View Full Text Article

Enhanced HTML    Acrobat PDF (172 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Assuming two quantum states of spontaneous parametric downconversion carrying orbital angular momentum, one may ask the question what is the minimum probability of error in identifying between two of these biphoton states by an arbitrary physical measurement over the biphoton state generated. While correctly chosen geometries may lead to perfect distinguishability of modes, it is worth noticing that experimental subtleties may lead to a poor mode distinguishability. We discuss the case where a restricted range instead of the needed range of wave vectors is collected by the experimental setup. These considerations may be useful for some applications, e.g., cryptography.

© 2008 Optical Society of America

OCIS Codes
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(270.0270) Quantum optics : Quantum optics
(060.4785) Fiber optics and optical communications : Optical security and encryption
(270.5568) Quantum optics : Quantum cryptography
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Quantum Optics

History
Original Manuscript: June 2, 2008
Manuscript Accepted: July 7, 2008
Published: September 12, 2008

Citation
Geraldo Alexandre Barbosa, "On the distinguishability of downconverted modes with orbital angular momentum," Opt. Lett. 33, 2119-2121 (2008)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-33-18-2119


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, Phys. Rev. Lett. 92, 013601 (2004). [CrossRef] [PubMed]
  2. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).
  3. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992). [CrossRef] [PubMed]
  4. G. A. Barbosa, Phys. Rev. A 76, 033821 (2007). [CrossRef]
  5. H. H. Arnaut and G. A. Barbosa, Phys. Rev. Lett. 85, 286 (2000). [CrossRef] [PubMed]
  6. A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001). [CrossRef] [PubMed]
  7. C. W. Helstrom, Quantum Detection and Estimation Theory, R.Bellman, ed. (Academic, 1976), p. 113, Eq. (2.34).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited