OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 10 — Apr. 1, 2006
  • pp: 2205–2208

Fuzzy simultaneous measurement of two polarization vector components

Scott Shepard  »View Author Affiliations

Applied Optics, Vol. 45, Issue 10, pp. 2205-2208 (2006)

View Full Text Article

Enhanced HTML    Acrobat PDF (64 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The advent of quantum computers threatens the security of conventional encryption schemes (e.g., those based upon the excessive amount of computational time that might be required to guess your password). Quantum encryption is intended to restore the security by basing it instead upon the impossibility of the simultaneous measurement of two noncommuting operators. I derive a measurement associated with the angular momentum lowering operator, which describes a simultaneous (yet realizable) measurement of two noncommuting spin-vector components. Correlations between two such detectors are also discussed and compared with the conventional Stern–Gerlach results.

© 2006 Optical Society of America

OCIS Codes
(040.0040) Detectors : Detectors
(040.5570) Detectors : Quantum detectors
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(270.0270) Quantum optics : Quantum optics
(270.5570) Quantum optics : Quantum detectors
(350.5030) Other areas of optics : Phase

ToC Category:
Photon Correlation and Scattering

Original Manuscript: July 6, 2005
Manuscript Accepted: November 10, 2005

Scott Shepard, "Fuzzy simultaneous measurement of two polarization vector components," Appl. Opt. 45, 2205-2208 (2006)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. J. Sakurai, Modern Quantum Mechanics (Benjamin, 1985).
  2. R. J. Glauber, "The quantum theory of optical coherence," Phys. Rev. 130, 2529-2539 (1963). [CrossRef]
  3. H. Yuen and J. Shapiro, "Optical communication with two-photon coherent states-Part III: Quantum measurements re photoemissive detectors," IEEE Trans. Inf. Theory IT-26, 78-92 (1980).
  4. Y. Ozhigov, and M. V. Lomonosov eds., First International Symposium on Quantum Informatics, Proc. SPIE 5128 (2003).
  5. C. Williams, ed., First NASA International Conference on Quantum Computing and Quantum Communications (Springer, 1998).
  6. J. S. Bell, "On the Einstein Podolsky Rosen theory," Physics 1, 195-200 (1964).
  7. C. W. Helstrom, Quantum Detection and Estimation Theory (Academic, 1976).
  8. P. Grangier, G. Roger, and A. Aspect, "Experimental evidence for photon anticorrelation effect on a beam splitter: a new light on single-photon interferences," Europhys. Lett. 1, 173-179 (1986). [CrossRef]
  9. M. A. Naimark, "Spectral functions of a symmetric operator," Izu. Akad. Nauk SSSR Ser. Mat. 4, 277-318 (1940), in Russian.
  10. S. R. Shepard, "A quantum theory of angle," Ann. N.Y. Acad. Sci. 755, 812-821 (1995). [CrossRef]
  11. P. Busch, "Unsharp reality and joint measurements for spin observables," Phys. Rev. D 33, 2253-2261 (1986). [CrossRef]

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited