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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 14 — Jul. 6, 2009
  • pp: 11799–11812

Photostatistics Reconstruction via Loop Detector Signatures.

J. G. Webb and E. H. Huntington  »View Author Affiliations


Optics Express, Vol. 17, Issue 14, pp. 11799-11812 (2009)
http://dx.doi.org/10.1364/OE.17.011799


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Abstract

Photon-number resolving detectors are a fundamental building-block of optical quantum information processing protocols. A loop detector, combined with appropriate statistical processing, can be used to convert a binary on/off photon counter into a photon-number-resolving detector. Here we describe the idea of a signature of photon-counts, which may be used to more robustly reconstruct the photon number distribution of a quantum state. The methodology is applied experimentally in a 9-port loop detector operating at a telecommunications wavelength and compared directly to the approach whereby only the number of photon-counts is used to reconstruct the input distribution. The signature approach is shown to be more robust against calibration errors, exhibit reduced statistical uncertainty, and reduced reliance on a-priori assumptions about the input state.

© 2009 Optical Society of America

OCIS Codes
(040.1880) Detectors : Detection
(270.5290) Quantum optics : Photon statistics

ToC Category:
Detectors

History
Original Manuscript: April 28, 2009
Revised Manuscript: June 18, 2009
Manuscript Accepted: June 19, 2009
Published: June 29, 2009

Citation
J. G. Webb and E. H. Huntington, "Photostatistics reconstruction via loop detector signatures," Opt. Express 17, 11799-11812 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-14-11799


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References

  1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000).
  2. J. L. O’Brien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, "Demonstration of an all-optical quantum controlled-not gate", Nature 426, 264-267 (2003). [CrossRef] [PubMed]
  3. B. P. Lanyon, T. J. Weinhold, N. K. Langford, M. Barbieri, D. F. V. James, A. Gilchrist and A. G. White, "Experimental Demonstration of a Compiled Version of Shor’s Algorithm with Quantum Entanglement", Phys. Rev. Lett. 99, 250505 (2007). [CrossRef]
  4. P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, "Review article: Linear optical quantum computing", arXiv:quant-ph/0512071 (2005).
  5. T. C. Ralph, "Quantum optical systems for the implementation of quantum information processing", Rep. Prog. Phys. 69, 853-898 (2006). [CrossRef]
  6. M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, "Self-consistent characterization of light statistics", arXiv:quant-ph/0810.4055v1 (2008).
  7. M. Fujiwara and M. Sasaki, "Direct measurement of photon number statistics at telecom wavelengths using a charge integration photon detector", Appl. Opt. 46, 16, 3069-3074 (2007). [CrossRef] [PubMed]
  8. A. J. Pearlman, S. V. Polyakov, A. Migdall, and S.W. Nam, "Number-resolving, single photon detection with no deadtime", Conference on CLEO/QELS, pp 1-2, May 2008.
  9. A. V. Sergienko, "Quantum optics: Beyond single-photon counting", Nat. Photon. 2, 268-269 (2008). [CrossRef]
  10. P. Kok and S. Braunstein, "Detection devices in entanglement-based optical state preparation", Phys. Rev. A 63, 033812 (2001). [CrossRef]
  11. H. Paul, P. Törmä, T. Kiss, and I. Jex, "Photon Chopping: New Way to Measure the Quantum State of Light", Phys. Rev. Lett. 76, 2464 (1996). [CrossRef] [PubMed]
  12. S. D. Bartlett, E. Diamanti, B. C. Sanders, and Y. Yamamoto, "Photon counting schemes and performance of non-deterministic nonlinear gates in linear optics", arXiv:quant-ph/0204073v1 (2002).
  13. P. P. Rohde, "Non-deterministic approximation of photon number discriminating detectors using nondiscriminating detectors", J. Opt. B: Quant. Semiclass. 7, 82-86 (2005). [CrossRef]
  14. D. Achilles, C. Silberhorn, C. Śliwa, K. Banaszek, I. Walmsley, M. J. Fitch, B. C. Jacobs, T. B. Pittman, and J. D. Franson, "Photon-number-resolving detection using time-multiplexing", J. Mod. Opt. 51, 9-10, 1499-1515 (2004).
  15. K. Banaszek and I. A. Walmsley, "Photon counting with a loop detector", Opt. Lett. 28, 1, 52-54 (2003). [CrossRef] [PubMed]
  16. M. J. Fitch, B. C. Jacobs, T. B. Pittman, and J. D. Franson, "Photon-number resolution using time-multiplexed single-photon detectors", Phys. Rev. A 68, 043814 (2003). [CrossRef]
  17. G. A. P. Thé and R. V. Ramos, "Multiple-photon number resolving detector using fibre ring and single-photon detector", J. Mod. Opt. 54, 8, 1187-1202 (2007). [CrossRef]
  18. J. Kim, S. Takeuchi, Y. Yamamoto, and H. H. Hogue, "Multiphoton detection using visible light photon counter", Appl. Phys. Lett. 74, 7, 902 (1999). [CrossRef]
  19. S. Takeuchi, J. Kim, Y. Yamamoto, and H. H. Hogue, "Development of a high-quantum-efficiency single-photon counting system", Appl. Phys. Lett. 74, 8, 1063 (1999). [CrossRef]
  20. T. Opatrný and D.-G. Welsch, "Density-matrix reconstruction by unbalanced homodyning", Phys. Rev. A 55, 1462 (1997). [CrossRef]
  21. G. Brida, M. Genovese, M. Gramegna, P. Traina, E. Predazzi, S. Olivares, and M. G. A. Paris, "Toward a full reconstruction of density matrix by on/off measurements", Int. J. Quant. Inf. 7, 27-32 (2009). [CrossRef]
  22. G. Zambra and M. G. A. Paris, "Reconstruction of photon-number distribution using low-performance photon counters", Phys. Rev. A 74, 063830 (2006). [CrossRef]
  23. D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1995).
  24. G. M. D’Ariano and C. Macchiavello, "Loss-error compensation in quantum-state measurements", Phys. Rev. A 57, 4, 3131-3133 (1998). [CrossRef]
  25. D. Mogilevtsev, "Diagonal element inference by direct detection", Opt. Comm. 156, 307-310 (1998). [CrossRef]
  26. G. Zambra, A. Allevi, A. Andreoni, M. Bondani, and M. G. A. Paris, "Nontrivial photon statistics with low resolution-threshold photon counters", Int. J. Quant. Inf. 5, 1-2, 305-309 (2007).
  27. H. Lee, U. Yurtsever, P. Kok, G. M. Hockney, C. Adami, S. L. Braunstein, and J. P. Dowling, "Towards photostatistics from photon-number discriminating detectors", J. Mod. Opt. 51, 9-10, 1517-1528 (2004).
  28. J. Reháček, Z. Hradil, O. Haderka, J. PerinaJr., and M. Hamar, "Multiple-photon resolving fiber-loop detector", Phys. Rev. A 67, 061801 (2003).
  29. G. Brida, M. Genovese, M. G. A. Paris, F. Piacentini, E. Predazzi, and E. Vallauri, "On Reconstructing Photon Statistics by on/off Detectors: Toward the Multi-Partite Case", Opt. Spect. 103, 1, 90-97 (2007). [CrossRef]
  30. P. P. Rohde, J. G. Webb, E. H. Huntington, and T. C. Ralph, "Photon number projection using non-number-resolving detectors", New J. Phys. 9, 233 (2007). [CrossRef]
  31. Z. Hradil and J. Reháček, "Likelihood and entropy for statistical inversion", J. Phys: Conf. Series 36, 55-59 (2006). [CrossRef]
  32. G. Zambra, A. Andreoni, M. Bondani, M. Gramegna, M. Genovese, G. Brida, A. Rossi, and M. G. A. Paris, "Experimental reconstruction of photon statistics without photon counting", Phys. Rev. Lett. 95, 063602 (2005). [CrossRef] [PubMed]
  33. J. A. Nelder and R. Mead, "A simplex method for function minimization", Computer Journal 7, 308-313 (1965).
  34. W. H. Press et al, Numerical Recipes in C: The Art of Scientific Computing (Cambridge University Press, Cambridge, England, 2nd edition, 1992).
  35. J. C. Lagaris, J. A. Reeds, M. H. Wright, and P. E. Wright, "Convergence properties of the Nelder-Mead simplex method in low dimensions", SIAM J. Optim. 9, 1, 112-147 (1998). [CrossRef]
  36. G. Ribordy, J-D. Gautier, H. Zbinden, and N. Gisin, "Performance of InGaAs/InP avalanche photodiodes as gated-mode photon counters", Appl. Opt. 37, 12, 2272-2277 (1998). [CrossRef]
  37. M. Höbel and J. Ricka, "Dead-time and afterpulsing correction in multiphoton timing with nonideal detectors", Rev. Sci. Instrum. 65, 7, 2326-2336 (1994). [CrossRef]
  38. D. Achilles, C. Silberhorn, and I. A. Walmsley, "Direct, loss-tolerant characterization of nonclassical photon statistics", Phys. Rev. Lett. 97, 043602 (2006). [CrossRef] [PubMed]

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