Abstract

Bipartite polarization correlations of two distant observers are observed by using coherent noise interferences. This is accomplished by mixing a vertically polarized coherent light field with a horizontally polarized coherent noise field in a 5050 beam splitter. The superposed light fields at each output port of the beam splitter are sent to two observers and then manipulated by using a quarter-wave plate and an analyzer. The bipartite correlations between the projection angles of two distant observers are established by analyzing their data through multiplication without any postselection technique. The scheme can be used to implement entanglement-based quantum cryptography in the future.

© 2009 Optical Society of America

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    [CrossRef] [PubMed]
  5. K. F. Lee and J. E. Thomas, Opt. Lett. 24, 1370 (1999).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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2008 (2)

2005 (2)

C. Liang, G. S. Kanter, E. Corndorf, and P. Kumar, IEEE Photon. Technol. Lett. 17, 1573 (2005).
[CrossRef]

S. Braunstein and P. Loock, Rev. Mod. Phys. 77, 513 (2005).
[CrossRef]

2004 (1)

K. F. Lee and J. E. Thomas, Phys. Rev. A 69, 052311 (2004).
[CrossRef]

2003 (1)

K. Inoue, E. Waks, and Y. Yamamoto, Phys. Rev. A 68, 022317 (2003).
[CrossRef]

2002 (3)

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

N. Bhattacharya, H. B. van Linden van den Heuvell, and R. J. C. Spreeuw, Phys. Rev. Lett. 88, 137901 (2002).
[CrossRef] [PubMed]

K. F. Lee and J. E. Thomas, Phys. Rev. Lett. 88, 097902 (2002).
[CrossRef] [PubMed]

1999 (1)

1992 (1)

C. H. Bennet, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, J. Cryptology 5, 3 (1992).
[CrossRef]

Bennet, C. H.

C. H. Bennet, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, J. Cryptology 5, 3 (1992).
[CrossRef]

Bessette, F.

C. H. Bennet, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, J. Cryptology 5, 3 (1992).
[CrossRef]

Bhattacharya, N.

N. Bhattacharya, H. B. van Linden van den Heuvell, and R. J. C. Spreeuw, Phys. Rev. Lett. 88, 137901 (2002).
[CrossRef] [PubMed]

Bigourd, D.

D. Bigourd, B. Chatel, W. P. Schleich, and B. Girard, Phys. Rev. Lett. 100, 030202 (2008).
[CrossRef] [PubMed]

Brassard, G.

C. H. Bennet, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, J. Cryptology 5, 3 (1992).
[CrossRef]

Braunstein, S.

S. Braunstein and P. Loock, Rev. Mod. Phys. 77, 513 (2005).
[CrossRef]

Chatel, B.

D. Bigourd, B. Chatel, W. P. Schleich, and B. Girard, Phys. Rev. Lett. 100, 030202 (2008).
[CrossRef] [PubMed]

Corndorf, E.

C. Liang, G. S. Kanter, E. Corndorf, and P. Kumar, IEEE Photon. Technol. Lett. 17, 1573 (2005).
[CrossRef]

Girard, B.

D. Bigourd, B. Chatel, W. P. Schleich, and B. Girard, Phys. Rev. Lett. 100, 030202 (2008).
[CrossRef] [PubMed]

Gisin, N.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Grib, A. A.

A. A. Grib and W. A. Rodrigues, Jr., Nonlocality in Quantum Physics, 1st ed. (Springer, 1999).
[CrossRef]

Hayashi, S.

Honjo, T.

Inoue, K.

Kanter, G. S.

C. Liang, G. S. Kanter, E. Corndorf, and P. Kumar, IEEE Photon. Technol. Lett. 17, 1573 (2005).
[CrossRef]

Kukita, T.

Kumar, P.

C. Liang, G. S. Kanter, E. Corndorf, and P. Kumar, IEEE Photon. Technol. Lett. 17, 1573 (2005).
[CrossRef]

Lee, K. F.

K. F. Lee and J. E. Thomas, Phys. Rev. A 69, 052311 (2004).
[CrossRef]

K. F. Lee and J. E. Thomas, Phys. Rev. Lett. 88, 097902 (2002).
[CrossRef] [PubMed]

K. F. Lee and J. E. Thomas, Opt. Lett. 24, 1370 (1999).
[CrossRef]

Liang, C.

C. Liang, G. S. Kanter, E. Corndorf, and P. Kumar, IEEE Photon. Technol. Lett. 17, 1573 (2005).
[CrossRef]

Loock, P.

S. Braunstein and P. Loock, Rev. Mod. Phys. 77, 513 (2005).
[CrossRef]

Ohashi, T.

Peres, A.

A. Peres, Quantum Theory: Concepts and Methods (Kluwer, 1993).

Ribordy, G.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Rodrigues, W. A.

A. A. Grib and W. A. Rodrigues, Jr., Nonlocality in Quantum Physics, 1st ed. (Springer, 1999).
[CrossRef]

Salvail, L.

C. H. Bennet, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, J. Cryptology 5, 3 (1992).
[CrossRef]

Schleich, W. P.

D. Bigourd, B. Chatel, W. P. Schleich, and B. Girard, Phys. Rev. Lett. 100, 030202 (2008).
[CrossRef] [PubMed]

Smolin, J.

C. H. Bennet, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, J. Cryptology 5, 3 (1992).
[CrossRef]

Spreeuw, R. J. C.

N. Bhattacharya, H. B. van Linden van den Heuvell, and R. J. C. Spreeuw, Phys. Rev. Lett. 88, 137901 (2002).
[CrossRef] [PubMed]

Takesue, H.

Thomas, J. E.

K. F. Lee and J. E. Thomas, Phys. Rev. A 69, 052311 (2004).
[CrossRef]

K. F. Lee and J. E. Thomas, Phys. Rev. Lett. 88, 097902 (2002).
[CrossRef] [PubMed]

K. F. Lee and J. E. Thomas, Opt. Lett. 24, 1370 (1999).
[CrossRef]

Tittel, W.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

van Linden van den Heuvell, H. B.

N. Bhattacharya, H. B. van Linden van den Heuvell, and R. J. C. Spreeuw, Phys. Rev. Lett. 88, 137901 (2002).
[CrossRef] [PubMed]

Waks, E.

K. Inoue, E. Waks, and Y. Yamamoto, Phys. Rev. A 68, 022317 (2003).
[CrossRef]

Watanabe, K.

Yamamoto, Y.

K. Inoue, E. Waks, and Y. Yamamoto, Phys. Rev. A 68, 022317 (2003).
[CrossRef]

Zbinden, H.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

C. Liang, G. S. Kanter, E. Corndorf, and P. Kumar, IEEE Photon. Technol. Lett. 17, 1573 (2005).
[CrossRef]

J. Cryptology (1)

C. H. Bennet, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, J. Cryptology 5, 3 (1992).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. A (2)

K. F. Lee and J. E. Thomas, Phys. Rev. A 69, 052311 (2004).
[CrossRef]

K. Inoue, E. Waks, and Y. Yamamoto, Phys. Rev. A 68, 022317 (2003).
[CrossRef]

Phys. Rev. Lett. (3)

N. Bhattacharya, H. B. van Linden van den Heuvell, and R. J. C. Spreeuw, Phys. Rev. Lett. 88, 137901 (2002).
[CrossRef] [PubMed]

D. Bigourd, B. Chatel, W. P. Schleich, and B. Girard, Phys. Rev. Lett. 100, 030202 (2008).
[CrossRef] [PubMed]

K. F. Lee and J. E. Thomas, Phys. Rev. Lett. 88, 097902 (2002).
[CrossRef] [PubMed]

Rev. Mod. Phys. (2)

S. Braunstein and P. Loock, Rev. Mod. Phys. 77, 513 (2005).
[CrossRef]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Other (2)

A. A. Grib and W. A. Rodrigues, Jr., Nonlocality in Quantum Physics, 1st ed. (Springer, 1999).
[CrossRef]

A. Peres, Quantum Theory: Concepts and Methods (Kluwer, 1993).

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Figures (2)

Fig. 1
Fig. 1

Experimental setup for demonstrating bipartite correlations based on coherent lights.

Fig. 2
Fig. 2

Single shot of the beat signal at (a) detector 1 and (b) detector 2, multiplied beat signal for (c) θ 1 = θ 2 and (d) θ 1 = 0 , θ 2 = 45 ° . Measurement of correlation functions (e) C N ( a = 0 ° , c = θ 2 ) and (f) C N ( b = 30 ° c = θ 2 ) , (g) plot of F ( a , b , c ) = C N ( a = 0 ° , b = 30 ° ) C N ( a = 0 ° , c ) 1 C N ( b = 30 ° , c) showing F ( a , b , c ) 0 , maximum violation occurs at c = θ 2 = 60 ° .

Equations (7)

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E 1 ( t ) = [ ( H ̂ N 1 i V ̂ N 1 ) e i ( ω + Ω ) t i ϕ + ( i H ̂ S 1 + V ̂ S 1 ) e i ( ω + Ω ) t ] e ̂ 1 ,
E 2 ( t ) = [ ( H ̂ N 2 + i V ̂ N 2 ) e i ( ω + Ω ) t i ϕ + ( i H ̂ S 2 + V ̂ S 2 ) e i ( ω + Ω ) t ] e ̂ 2 ,
D 1 ( ϕ ) = A 1 ( ϕ ) = i e i ( 2 θ 1 + ϕ ) + c.c sin ( 2 θ 1 + ϕ ) ,
D 2 ( ϕ ) = B 2 ( ϕ ) = i e i ( 2 θ 2 + ϕ ) + c.c sin ( 2 θ 2 + ϕ ) .
A 1 × B 2 cos ( 2 ( θ 1 θ 2 ) ) + cos ( 2 ( θ 1 + θ 2 + ϕ ) ) .
A 1 × B 2 ¯ C ( θ 1 , θ 2 ) cos ( 2 ( θ 1 θ 2 ) ) .
F ( a , b , c ) = C N ( a , b ) C N ( a , c ) 1 C N ( b , c ) 0 ,

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