Abstract

We propose a design for a photon-counting detector that is capable of resolving multiphoton events. The basic element of the setup is a fiber loop, which traps the input field with the help of a fast electro-optic switch. A single weakly coupled avalanche photodiode is used to detect small portions of the signal field extracted from the loop. We analyze the response of the loop detector to an arbitrary input field and discuss both the reconstruction of the photon-number distribution of an unknown field from the count statistics measured in the setup and the application of the detector in conditional-state preparation.

© 2003 Optical Society of America

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2002 (1)

H. Lee, P. Kok, N. J. Cerf, and J. P. Dowling, Phys. Rev. A 65, 030101 (2002).
[CrossRef]

2001 (4)

C. Gerry and R. A. Campos, Phys. Rev. A 64, 063814 (2001).
[CrossRef]

E. Knill, R. Laflamme, and G. J. Milburn, Nature 409, 46 (2001).
[CrossRef] [PubMed]

P. Kok and S. L. Braunstein, Phys. Rev. A 63, 033812 (2001).
[CrossRef]

Z. Walton, A. V. Sergienko, M. Atatüre, B. E. A. Saleh, and M. C. Teich, J. Mod. Opt. 48, 2055 (2001).
[CrossRef]

2000 (1)

G. Brassard, N. Lütkenhaus, T. Mor, and B. C. Sanders, Phys. Rev. Lett. 85, 1330 (2000).
[CrossRef] [PubMed]

1999 (2)

J. Kim, S. Takeuchi, Y. Yamamoto, and H. H. Hogue, Appl. Phys. Lett. 74, 902 (1999).
[CrossRef]

K. Banaszek, J. Mod. Opt. 46, 675 (1999).
[CrossRef]

1998 (1)

1996 (1)

For a review, see F. Zappa, A. L. Lacaita, S. D. Cova, and P. Lovati, Opt. Eng. 35, 938 (1996).
[CrossRef]

1994 (1)

1993 (1)

P. G. Kwiat, A. M. Steinberg, R. Y. Chiao, P. H. Eberhard, and M. D. Petroff, Phys. Rev. A 48, R867 (1993).
[CrossRef]

1987 (2)

R. G. W. Brown, R. Jones, J. G. Rarity, and K. D. Ridley, Appl. Opt. 26, 2383 (1987).
[CrossRef] [PubMed]

Y. Silberberg, P. Perlmutter, and J. E. Baran, Appl. Phys. Lett. 51, 1240 (1987).

1986 (1)

Atatüre, M.

Z. Walton, A. V. Sergienko, M. Atatüre, B. E. A. Saleh, and M. C. Teich, J. Mod. Opt. 48, 2055 (2001).
[CrossRef]

Banaszek, K.

K. Banaszek, J. Mod. Opt. 46, 675 (1999).
[CrossRef]

Baran, J. E.

Y. Silberberg, P. Perlmutter, and J. E. Baran, Appl. Phys. Lett. 51, 1240 (1987).

Brassard, G.

G. Brassard, N. Lütkenhaus, T. Mor, and B. C. Sanders, Phys. Rev. Lett. 85, 1330 (2000).
[CrossRef] [PubMed]

Braunstein, S. L.

P. Kok and S. L. Braunstein, Phys. Rev. A 63, 033812 (2001).
[CrossRef]

Brown, R. G. W.

Campos, R. A.

C. Gerry and R. A. Campos, Phys. Rev. A 64, 063814 (2001).
[CrossRef]

Cerf, N. J.

H. Lee, P. Kok, N. J. Cerf, and J. P. Dowling, Phys. Rev. A 65, 030101 (2002).
[CrossRef]

Chiao, R. Y.

P. G. Kwiat, A. M. Steinberg, R. Y. Chiao, P. H. Eberhard, and M. D. Petroff, Phys. Rev. A 48, R867 (1993).
[CrossRef]

Cova, S. D.

For a review, see F. Zappa, A. L. Lacaita, S. D. Cova, and P. Lovati, Opt. Eng. 35, 938 (1996).
[CrossRef]

Dowling, J. P.

H. Lee, P. Kok, N. J. Cerf, and J. P. Dowling, Phys. Rev. A 65, 030101 (2002).
[CrossRef]

Eberhard, P. H.

P. G. Kwiat, A. M. Steinberg, R. Y. Chiao, P. H. Eberhard, and M. D. Petroff, Phys. Rev. A 48, R867 (1993).
[CrossRef]

Flannery, B. P.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN (Cambridge U. Press, Cambridge, 1992), Sec. 2.6.

Gautier, J.-D.

Gerry, C.

C. Gerry and R. A. Campos, Phys. Rev. A 64, 063814 (2001).
[CrossRef]

Gisin, N.

Hogue, H. H.

J. Kim, S. Takeuchi, Y. Yamamoto, and H. H. Hogue, Appl. Phys. Lett. 74, 902 (1999).
[CrossRef]

Jones, R.

Kim, J.

J. Kim, S. Takeuchi, Y. Yamamoto, and H. H. Hogue, Appl. Phys. Lett. 74, 902 (1999).
[CrossRef]

Knight, D.

Knill, E.

E. Knill, R. Laflamme, and G. J. Milburn, Nature 409, 46 (2001).
[CrossRef] [PubMed]

Kok, P.

H. Lee, P. Kok, N. J. Cerf, and J. P. Dowling, Phys. Rev. A 65, 030101 (2002).
[CrossRef]

P. Kok and S. L. Braunstein, Phys. Rev. A 63, 033812 (2001).
[CrossRef]

Kwiat, P. G.

P. G. Kwiat, A. M. Steinberg, R. Y. Chiao, P. H. Eberhard, and M. D. Petroff, Phys. Rev. A 48, R867 (1993).
[CrossRef]

Lacaita, A. L.

For a review, see F. Zappa, A. L. Lacaita, S. D. Cova, and P. Lovati, Opt. Eng. 35, 938 (1996).
[CrossRef]

Laflamme, R.

E. Knill, R. Laflamme, and G. J. Milburn, Nature 409, 46 (2001).
[CrossRef] [PubMed]

Lee, H.

H. Lee, P. Kok, N. J. Cerf, and J. P. Dowling, Phys. Rev. A 65, 030101 (2002).
[CrossRef]

Lovati, P.

For a review, see F. Zappa, A. L. Lacaita, S. D. Cova, and P. Lovati, Opt. Eng. 35, 938 (1996).
[CrossRef]

Lütkenhaus, N.

G. Brassard, N. Lütkenhaus, T. Mor, and B. C. Sanders, Phys. Rev. Lett. 85, 1330 (2000).
[CrossRef] [PubMed]

Milburn, G. J.

E. Knill, R. Laflamme, and G. J. Milburn, Nature 409, 46 (2001).
[CrossRef] [PubMed]

Mor, T.

G. Brassard, N. Lütkenhaus, T. Mor, and B. C. Sanders, Phys. Rev. Lett. 85, 1330 (2000).
[CrossRef] [PubMed]

Owens, P. C. M.

Perlmutter, P.

Y. Silberberg, P. Perlmutter, and J. E. Baran, Appl. Phys. Lett. 51, 1240 (1987).

Petroff, M. D.

P. G. Kwiat, A. M. Steinberg, R. Y. Chiao, P. H. Eberhard, and M. D. Petroff, Phys. Rev. A 48, R867 (1993).
[CrossRef]

Press, W. H.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN (Cambridge U. Press, Cambridge, 1992), Sec. 2.6.

Rarity, J. G.

Ribordy, G.

Ridley, K. D.

Saleh, B. E. A.

Z. Walton, A. V. Sergienko, M. Atatüre, B. E. A. Saleh, and M. C. Teich, J. Mod. Opt. 48, 2055 (2001).
[CrossRef]

Sanders, B. C.

G. Brassard, N. Lütkenhaus, T. Mor, and B. C. Sanders, Phys. Rev. Lett. 85, 1330 (2000).
[CrossRef] [PubMed]

Sergienko, A. V.

Z. Walton, A. V. Sergienko, M. Atatüre, B. E. A. Saleh, and M. C. Teich, J. Mod. Opt. 48, 2055 (2001).
[CrossRef]

Silberberg, Y.

Y. Silberberg, P. Perlmutter, and J. E. Baran, Appl. Phys. Lett. 51, 1240 (1987).

Steinberg, A. M.

P. G. Kwiat, A. M. Steinberg, R. Y. Chiao, P. H. Eberhard, and M. D. Petroff, Phys. Rev. A 48, R867 (1993).
[CrossRef]

Takeuchi, S.

J. Kim, S. Takeuchi, Y. Yamamoto, and H. H. Hogue, Appl. Phys. Lett. 74, 902 (1999).
[CrossRef]

Tapster, P. R.

Teich, M. C.

Z. Walton, A. V. Sergienko, M. Atatüre, B. E. A. Saleh, and M. C. Teich, J. Mod. Opt. 48, 2055 (2001).
[CrossRef]

Teukolsky, S. A.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN (Cambridge U. Press, Cambridge, 1992), Sec. 2.6.

Townsend, P. D.

Vetterling, W. T.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN (Cambridge U. Press, Cambridge, 1992), Sec. 2.6.

Walton, Z.

Z. Walton, A. V. Sergienko, M. Atatüre, B. E. A. Saleh, and M. C. Teich, J. Mod. Opt. 48, 2055 (2001).
[CrossRef]

Yamamoto, Y.

J. Kim, S. Takeuchi, Y. Yamamoto, and H. H. Hogue, Appl. Phys. Lett. 74, 902 (1999).
[CrossRef]

Zappa, F.

For a review, see F. Zappa, A. L. Lacaita, S. D. Cova, and P. Lovati, Opt. Eng. 35, 938 (1996).
[CrossRef]

Zbinden, H.

Appl. Opt. (4)

Appl. Phys. Lett. (2)

J. Kim, S. Takeuchi, Y. Yamamoto, and H. H. Hogue, Appl. Phys. Lett. 74, 902 (1999).
[CrossRef]

Y. Silberberg, P. Perlmutter, and J. E. Baran, Appl. Phys. Lett. 51, 1240 (1987).

J. Mod. Opt. (2)

K. Banaszek, J. Mod. Opt. 46, 675 (1999).
[CrossRef]

Z. Walton, A. V. Sergienko, M. Atatüre, B. E. A. Saleh, and M. C. Teich, J. Mod. Opt. 48, 2055 (2001).
[CrossRef]

Nature (1)

E. Knill, R. Laflamme, and G. J. Milburn, Nature 409, 46 (2001).
[CrossRef] [PubMed]

Opt. Eng. (1)

For a review, see F. Zappa, A. L. Lacaita, S. D. Cova, and P. Lovati, Opt. Eng. 35, 938 (1996).
[CrossRef]

Phys. Rev. A (4)

P. Kok and S. L. Braunstein, Phys. Rev. A 63, 033812 (2001).
[CrossRef]

H. Lee, P. Kok, N. J. Cerf, and J. P. Dowling, Phys. Rev. A 65, 030101 (2002).
[CrossRef]

C. Gerry and R. A. Campos, Phys. Rev. A 64, 063814 (2001).
[CrossRef]

P. G. Kwiat, A. M. Steinberg, R. Y. Chiao, P. H. Eberhard, and M. D. Petroff, Phys. Rev. A 48, R867 (1993).
[CrossRef]

Phys. Rev. Lett. (1)

G. Brassard, N. Lütkenhaus, T. Mor, and B. C. Sanders, Phys. Rev. Lett. 85, 1330 (2000).
[CrossRef] [PubMed]

Other (1)

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN (Cambridge U. Press, Cambridge, 1992), Sec. 2.6.

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Figures (2)

Fig. 1
Fig. 1

Proposed configuration of the loop detector.

Fig. 2
Fig. 2

Monte Carlo simulation of photon counting by use of a loop detector for a coherent state with the average photon number equal to 1 and for a single-photon Fock state. The top figures depict simulated count statistics based on N=105 repetitions of the measurement, assuming that tr=72%, tc=20%, η=80%, and pd=0. The filled circles in the bottom figures present the photon-number distributions reconstructed with the help of the singular-value decomposition method, compared with the exact distributions (shown by bars).

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

p˜Iz=k=0zkpIk.
p˜Iz=i=1Lz+1-z1-pdexp-ηtctri-1I,
p˜Izexpz-1ηtcI1-tr+Lpd.
ηeff=ηtc1-tr.
pk=nw(k|n)ϱn,
eIp˜Iz=k=0n=0w(k|n)zkInn!,
Ck=w(k|k)ϱknw(k|n)ϱn,

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