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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 9 — Mar. 20, 2009
  • pp: 1774–1778

Quantum random number generator using photon-number path entanglement

Osung Kwon, Young-Wook Cho, and Yoon-Ho Kim  »View Author Affiliations

Applied Optics, Vol. 48, Issue 9, pp. 1774-1778 (2009)

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We report a quantum random number generator based on the photon-number–path entangled state that is prepared by means of two-photon quantum interference at a beam splitter. The randomness in our scheme is truly quantum mechanical in origin since it results from the projection measurement of the entangled two-photon state. The generated bit sequences satisfy the standard randomness test.

© 2009 Optical Society of America

OCIS Codes
(030.5260) Coherence and statistical optics : Photon counting
(190.7110) Nonlinear optics : Ultrafast nonlinear optics
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Coherence and Statistical Optics

Original Manuscript: January 21, 2009
Manuscript Accepted: February 18, 2009
Published: March 19, 2009

Osung Kwon, Young-Wook Cho, and Yoon-Ho Kim, "Quantum random number generator using photon-number path entanglement," Appl. Opt. 48, 1774-1778 (2009)

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  1. T. Jennewein, U. Achleitner, G. Weihs, H. Weinfurter, and A. Zeilinger, “A fast and compact quantum random number generator,” Rev. Sci. Instrum. 71, 1675-1680 (2000). [CrossRef]
  2. A. Stefanov, N. Gisin, O. Guinnard, L. Guinnard, and H. Zbinden, “Optical quantum random number generator,” J. Mod. Opt. 47, 595-598 (2000).
  3. P. X. Wang, G. L. Long, and Y. S. Li, “Scheme for a quantum random number generator,” J. Appl. Phys. 100, 056107 (2006). [CrossRef]
  4. H.-Q. Ma, Y. Xie, and L.-A. Wu, “Random number generation based on the time of arrival of single photons,” Appl. Opt. 44, 7760-7763 (2005). [CrossRef] [PubMed]
  5. M. Stipcevic and B. M. Rogina, “Quantum random number generator based on photonic emission in semiconductors,” Rev. Sci. Instrum. 78, 045104 (2007). [CrossRef] [PubMed]
  6. M. A. Wayne, G. Akselrod, E. R. Jeffrey, and P. G. Kwiat, “High-speed quantum random number generation,” in International Conference on Quantum Information (Optical Society of America, 2007). paper JWC49.
  7. H.-Q. Ma, S.-M. Wang, D. Zhang, J.-T. Chang, L.-L. Ji, Y.-X. Hou, and L.-A. Wu, “A random number generator based on quantum entangled photon pairs,” Chin. Phys. Lett. 21, 1961-1965 (2004). [CrossRef]
  8. M. Fiorentino, C. Santori, S. M. Spillane, R. G. Beausoleil, and W. J. Munro, “Secure self-calibrating quantum random-bit generator,” Phys. Rev. A 75, 032334 (2007). [CrossRef]
  9. C. K. Hong and L. Mandel, “Experimental realization of a localized one-photon state,” Phys. Rev. Lett. 56, 58-60 (1986). [CrossRef] [PubMed]
  10. Implementation of the beam splitter QRNG scheme reported in Ref. makes use of only the signal photon of the SPDC signal-idler photon pair. The scheme, therefore, is equivalent to illuminating a beam splitter with a weak thermal light .
  11. D. V. Strekalov, Y.-H. Kim, and Y. Shih, “Experimental study of a subsystem in an entangled two-photon state,” Phys. Rev. A 60, 2685-2688 (1999). [CrossRef]
  12. S.-Y. Baek, O. Kwon, and Y.-H. Kim, “Temporal shaping of a heralded single-photon wave packet,” Phys. Rev. A 77, 013829 (2008). [CrossRef]
  13. S. Takeuchi, “Beamlike twin-photon generation by use of type II parametric downconversion,” Opt. Lett. 26, 843-845 (2001). [CrossRef]
  14. Y.-H. Kim, “Quantum interference with beamlike type-II spontaneous parametric down-conversion,” Phys. Rev. A 68, 013804 (2003). [CrossRef]
  15. C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044-2046 (1987). [CrossRef] [PubMed]
  16. Generally speaking, although commonly in use, it is incorrect to say that two photons must simultaneously arrive at a beam splitter to exhibit two-photon quantum interference. The condition for observing two-photon quantum interference involving a beam splitter is that the two biphoton detection amplitudes be indistinguishable. It is in fact possible to observe two-photon quantum interference without actually overlapping two photons at the beam splitter. See Refs. .
  17. T. B. Pittman, D. V. Strekalov, A. Migdall, M. H. Rubin, A. V. Sergienko, and Y. H. Shih, “Can two-photon interference be considered the interference of two photons?,” Phys. Rev. Lett. 77, 1917-1920 (1996). [CrossRef] [PubMed]
  18. Y.-H. Kim, “Two-photon interference without bunching two photons,” Phys. Lett. A 315, 352-357 (2003). [CrossRef]
  19. Y.-H. Kim and W. P. Grice, “Quantum interference with distinguishable photons through indistinguishable pathways,” J. Opt. Soc. Am. B 22, 493-498 (2005). [CrossRef]
  20. Y.-H. Kim and W. P. Grice, “Observation of correlated-photon statistics using a single detector,” Phys. Rev. A 67, 065802 (2003). [CrossRef]
  21. A. Fedrizzi, T. Herbst, A. Poppe, T. Jennewein, and A. Zeilinger, “A wavelength-tunable fiber-coupled source of narrowband entangled photons,” Opt. Express 15, 15377-15386 (2007). [PubMed]
  22. J. von Neumann, “Various techniques used in connection with random digits,” National Bureau of Standards Applied Mathematics Series No. 12, (National Bureau of Standards, 1951), pp.36-38.
  23. Y. Peres, “Iterating von Neumann's procedure for extracting random bits,” Ann. Stat. 20, 590-597 (1992). [CrossRef]
  24. A. Rukhin, J. Soto, J. Nechvatal, M. Smid, E. Barker, S. Leigh, M. Levenson, M. Vangel, D. Banks, A. Heckert, J. Dray, and S. Vo, “A statistical test suite for random and pseudorandom number generators for cryptographic applications,” NIST Special Publication 800-22 (NIST, 2008), http://csrc.nist.gov/rng/.

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