Abstract

We present a protocol for an optical key distribution network based on computational correlation imaging, which can simultaneously realize privacy amplification and multiparty distribution. With current technology, the key distribution rate could reach hundreds of Mbit/s with suitable choice of parameters. The setup is simple and inexpensive, and may be employed in real networks where high-speed long-distance secure communication is required.

© 2013 Optical Society of America

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References

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  1. C. H. Bennett and G. Brassard, in Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing (IEEE, 1984), pp. 175–179.
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  6. X. F. Mo, T. Zhang, F. X. Xu, Z. F. Han, and G. C. Guo, http://cn.arxiv.org/abs/quant-ph/0610096 .
  7. F. G. Deng, X. S. Liu, Y. J. Ma, L. Xiao, and G. L. Long, Chin. Phys. Lett. 19, 893 (2002).
    [CrossRef]
  8. T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
    [CrossRef]
  9. R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
    [CrossRef]
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    [CrossRef]
  11. D. Zhang, Y. H. Zhai, and L. A. Wu, Opt. Lett. 30, 2354 (2005).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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  16. G. Brida, M. V. Chekhova, G. A. Fornaro, M. Genovese, E. D. Lopaeva, and I. Ruo Berchera, Phys. Rev. A 83, 063807 (2011)
    [CrossRef]
  17. J. Walker, http://www.fourmilab.ch/random (2008).

2011 (1)

G. Brida, M. V. Chekhova, G. A. Fornaro, M. Genovese, E. D. Lopaeva, and I. Ruo Berchera, Phys. Rev. A 83, 063807 (2011)
[CrossRef]

2010 (1)

2009 (1)

Y. Bromberg, O. Katz, and Y. Silberberg, Phys. Rev. A 79, 053840 (2009).
[CrossRef]

2008 (2)

J. H. Shapiro, Phys. Rev. A 78, 061802(R) (2008).

B. I. Erkmen and J. H. Shapiro, Phys. Rev. A 77, 043809 (2008).
[CrossRef]

2005 (2)

C. Elliott, A. Colvin, D. Pearson, O. Pikalo, J. Schlafer, and H. Yeh, Proc. SPIE 5815, 138 (2005).
[CrossRef]

D. Zhang, Y. H. Zhai, and L. A. Wu, Opt. Lett. 30, 2354 (2005).
[CrossRef]

2004 (1)

A. Gatti, E. Brambilla, M. Bache, and L. A. lugiato, Phys. Rev. Lett. 93, 093602 (2004).
[CrossRef]

2002 (2)

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef]

F. G. Deng, X. S. Liu, Y. J. Ma, L. Xiao, and G. L. Long, Chin. Phys. Lett. 19, 893 (2002).
[CrossRef]

1995 (1)

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

1992 (1)

C. H. Bennett, Phys. Rev. Lett. 68, 3121 (1992).
[CrossRef]

1991 (1)

A. K. Ekert, Phys. Rev. Lett. 67, 661 (1991).
[CrossRef]

Alleaume, R.

M. Dianati and R. Alleaume, in Proceedings of IEEE First International Conference on Quantum, Nano, and Micro Technologies (IEEE, 2007), pp. 13–19.

Bache, M.

A. Gatti, E. Brambilla, M. Bache, and L. A. lugiato, Phys. Rev. Lett. 93, 093602 (2004).
[CrossRef]

Bennett, C. H.

C. H. Bennett, Phys. Rev. Lett. 68, 3121 (1992).
[CrossRef]

C. H. Bennett and G. Brassard, in Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing (IEEE, 1984), pp. 175–179.

Bennink, R. S.

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef]

Bentley, S. J.

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef]

Berchera, I. Ruo

G. Brida, M. V. Chekhova, G. A. Fornaro, M. Genovese, E. D. Lopaeva, and I. Ruo Berchera, Phys. Rev. A 83, 063807 (2011)
[CrossRef]

Boyd, R. W.

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef]

Brambilla, E.

A. Gatti, E. Brambilla, M. Bache, and L. A. lugiato, Phys. Rev. Lett. 93, 093602 (2004).
[CrossRef]

Brassard, G.

C. H. Bennett and G. Brassard, in Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing (IEEE, 1984), pp. 175–179.

Brida, G.

G. Brida, M. V. Chekhova, G. A. Fornaro, M. Genovese, E. D. Lopaeva, and I. Ruo Berchera, Phys. Rev. A 83, 063807 (2011)
[CrossRef]

Bromberg, Y.

Y. Bromberg, O. Katz, and Y. Silberberg, Phys. Rev. A 79, 053840 (2009).
[CrossRef]

Chekhova, M. V.

G. Brida, M. V. Chekhova, G. A. Fornaro, M. Genovese, E. D. Lopaeva, and I. Ruo Berchera, Phys. Rev. A 83, 063807 (2011)
[CrossRef]

Clemente, P.

Colvin, A.

C. Elliott, A. Colvin, D. Pearson, O. Pikalo, J. Schlafer, and H. Yeh, Proc. SPIE 5815, 138 (2005).
[CrossRef]

Deng, F. G.

F. G. Deng, X. S. Liu, Y. J. Ma, L. Xiao, and G. L. Long, Chin. Phys. Lett. 19, 893 (2002).
[CrossRef]

Dianati, M.

M. Dianati and R. Alleaume, in Proceedings of IEEE First International Conference on Quantum, Nano, and Micro Technologies (IEEE, 2007), pp. 13–19.

Durn, V.

Ekert, A. K.

A. K. Ekert, Phys. Rev. Lett. 67, 661 (1991).
[CrossRef]

Elliott, C.

C. Elliott, A. Colvin, D. Pearson, O. Pikalo, J. Schlafer, and H. Yeh, Proc. SPIE 5815, 138 (2005).
[CrossRef]

Erkmen, B. I.

B. I. Erkmen and J. H. Shapiro, Phys. Rev. A 77, 043809 (2008).
[CrossRef]

Fornaro, G. A.

G. Brida, M. V. Chekhova, G. A. Fornaro, M. Genovese, E. D. Lopaeva, and I. Ruo Berchera, Phys. Rev. A 83, 063807 (2011)
[CrossRef]

Gatti, A.

A. Gatti, E. Brambilla, M. Bache, and L. A. lugiato, Phys. Rev. Lett. 93, 093602 (2004).
[CrossRef]

Genovese, M.

G. Brida, M. V. Chekhova, G. A. Fornaro, M. Genovese, E. D. Lopaeva, and I. Ruo Berchera, Phys. Rev. A 83, 063807 (2011)
[CrossRef]

Guo, G. C.

X. F. Mo, T. Zhang, F. X. Xu, Z. F. Han, and G. C. Guo, http://cn.arxiv.org/abs/quant-ph/0610096 .

Han, Z. F.

X. F. Mo, T. Zhang, F. X. Xu, Z. F. Han, and G. C. Guo, http://cn.arxiv.org/abs/quant-ph/0610096 .

Katz, O.

Y. Bromberg, O. Katz, and Y. Silberberg, Phys. Rev. A 79, 053840 (2009).
[CrossRef]

Lancis, J.

Liu, X. S.

F. G. Deng, X. S. Liu, Y. J. Ma, L. Xiao, and G. L. Long, Chin. Phys. Lett. 19, 893 (2002).
[CrossRef]

Long, G. L.

F. G. Deng, X. S. Liu, Y. J. Ma, L. Xiao, and G. L. Long, Chin. Phys. Lett. 19, 893 (2002).
[CrossRef]

Lopaeva, E. D.

G. Brida, M. V. Chekhova, G. A. Fornaro, M. Genovese, E. D. Lopaeva, and I. Ruo Berchera, Phys. Rev. A 83, 063807 (2011)
[CrossRef]

lugiato, L. A.

A. Gatti, E. Brambilla, M. Bache, and L. A. lugiato, Phys. Rev. Lett. 93, 093602 (2004).
[CrossRef]

Ma, Y. J.

F. G. Deng, X. S. Liu, Y. J. Ma, L. Xiao, and G. L. Long, Chin. Phys. Lett. 19, 893 (2002).
[CrossRef]

Mo, X. F.

X. F. Mo, T. Zhang, F. X. Xu, Z. F. Han, and G. C. Guo, http://cn.arxiv.org/abs/quant-ph/0610096 .

Pearson, D.

C. Elliott, A. Colvin, D. Pearson, O. Pikalo, J. Schlafer, and H. Yeh, Proc. SPIE 5815, 138 (2005).
[CrossRef]

Pikalo, O.

C. Elliott, A. Colvin, D. Pearson, O. Pikalo, J. Schlafer, and H. Yeh, Proc. SPIE 5815, 138 (2005).
[CrossRef]

Pittman, T. B.

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

Schlafer, J.

C. Elliott, A. Colvin, D. Pearson, O. Pikalo, J. Schlafer, and H. Yeh, Proc. SPIE 5815, 138 (2005).
[CrossRef]

Sergienko, A. V.

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

Shapiro, J. H.

J. H. Shapiro, Phys. Rev. A 78, 061802(R) (2008).

B. I. Erkmen and J. H. Shapiro, Phys. Rev. A 77, 043809 (2008).
[CrossRef]

Shih, Y. H.

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

Silberberg, Y.

Y. Bromberg, O. Katz, and Y. Silberberg, Phys. Rev. A 79, 053840 (2009).
[CrossRef]

Strekalov, D. V.

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

Tajahuerce, E.

Torres-Company, V.

Wu, L. A.

Xiao, L.

F. G. Deng, X. S. Liu, Y. J. Ma, L. Xiao, and G. L. Long, Chin. Phys. Lett. 19, 893 (2002).
[CrossRef]

Xu, F. X.

X. F. Mo, T. Zhang, F. X. Xu, Z. F. Han, and G. C. Guo, http://cn.arxiv.org/abs/quant-ph/0610096 .

Yeh, H.

C. Elliott, A. Colvin, D. Pearson, O. Pikalo, J. Schlafer, and H. Yeh, Proc. SPIE 5815, 138 (2005).
[CrossRef]

Zhai, Y. H.

Zhang, D.

Zhang, T.

X. F. Mo, T. Zhang, F. X. Xu, Z. F. Han, and G. C. Guo, http://cn.arxiv.org/abs/quant-ph/0610096 .

Chin. Phys. Lett. (1)

F. G. Deng, X. S. Liu, Y. J. Ma, L. Xiao, and G. L. Long, Chin. Phys. Lett. 19, 893 (2002).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (5)

J. H. Shapiro, Phys. Rev. A 78, 061802(R) (2008).

B. I. Erkmen and J. H. Shapiro, Phys. Rev. A 77, 043809 (2008).
[CrossRef]

Y. Bromberg, O. Katz, and Y. Silberberg, Phys. Rev. A 79, 053840 (2009).
[CrossRef]

G. Brida, M. V. Chekhova, G. A. Fornaro, M. Genovese, E. D. Lopaeva, and I. Ruo Berchera, Phys. Rev. A 83, 063807 (2011)
[CrossRef]

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

Phys. Rev. Lett. (4)

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef]

A. Gatti, E. Brambilla, M. Bache, and L. A. lugiato, Phys. Rev. Lett. 93, 093602 (2004).
[CrossRef]

A. K. Ekert, Phys. Rev. Lett. 67, 661 (1991).
[CrossRef]

C. H. Bennett, Phys. Rev. Lett. 68, 3121 (1992).
[CrossRef]

Proc. SPIE (1)

C. Elliott, A. Colvin, D. Pearson, O. Pikalo, J. Schlafer, and H. Yeh, Proc. SPIE 5815, 138 (2005).
[CrossRef]

Other (4)

X. F. Mo, T. Zhang, F. X. Xu, Z. F. Han, and G. C. Guo, http://cn.arxiv.org/abs/quant-ph/0610096 .

M. Dianati and R. Alleaume, in Proceedings of IEEE First International Conference on Quantum, Nano, and Micro Technologies (IEEE, 2007), pp. 13–19.

J. Walker, http://www.fourmilab.ch/random (2008).

C. H. Bennett and G. Brassard, in Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing (IEEE, 1984), pp. 175–179.

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Figures (3)

Fig. 1.
Fig. 1.

Schematic of the optical key distribution network.

Fig. 2.
Fig. 2.

Experimental setup.

Fig. 3.
Fig. 3.

(a) Object mask, (b) ghost image of the mask retrieved from 20,298 frames, and (c) image of lens tissue from 597 frames.

Tables (1)

Tables Icon

Table 1. ENT Test Results

Equations (3)

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

Ii=Ii(r⃗M)Isi(r⃗si)Ti(r⃗t)dxdy,
g(x,y)1ni=1n(IiIi(r⃗M))1ni=1nIi1ni=1nIi(r⃗M).
Is(r⃗s)T(r⃗t)=1ni=1nIsi(r⃗s)Ti(r⃗t),

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