Abstract

A one-way quantum key distribution scheme based on intrinsically stable Faraday-mirror-type Michelson interferometers with four-port polarizing beam splitters has been demonstrated that can compensate for birefringence effects automatically. The encoding is performed with phase modulators, but decoding is accomplished through measurement of the polarization state of Bob’s photons. An extinction ratio of about 30dB was maintained for several hours over 50km of fiber at 1310nm without any adjustment to the setup, which shows its good potential for practical systems.

© 2007 Optical Society of America

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2005 (1)

2004 (2)

C. Gobby, Z. L. Yuan, and A. J. Shields, Appl. Phys. Lett. 84, 3762 (2004).
[CrossRef]

J. C. Boileau, D. Gottesman, R. Laflamme, D. Poulin, and R. W. Spekkens, Phys. Rev. Lett. 92, 017901 (2004).
[CrossRef] [PubMed]

2002 (3)

R. J. Hughes, J. E. Nordholt, D. Derkacs, and C. G. Peterson, New J. Phys. 4, 43 (2002).
[CrossRef]

C. Kurtsiefer, P. Zarda, M. Halder, H. Weinfurter, P. M. Gorman, P. R. Tapster, and J. G. Rarity, Nature 419, 450 (2002).
[CrossRef] [PubMed]

D. S. Bethune and W. P. Risk, New J. Phys. 4, 42 (2002).
[CrossRef]

1998 (1)

P. D. Townsend, Opt. Fiber Technol. 4, 345 (1998).
[CrossRef]

1997 (2)

A. Muller, T. Herzog, B. Huttner, W. Tittel, H. Zbinden, and N. Gisin, Appl. Phys. Lett. 70, 793 (1997).
[CrossRef]

H. Zbinden, J. D. Gautier, N. Gisin, B. Huttner, A. Muller, and W. Tittel, Electron. Lett. 33, 586 (1997).
[CrossRef]

1995 (1)

1992 (2)

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

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

Bennett, C. H.

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

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

Bessette, F.

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

Bethune, D. S.

D. S. Bethune and W. P. Risk, New J. Phys. 4, 42 (2002).
[CrossRef]

Boileau, J. C.

J. C. Boileau, D. Gottesman, R. Laflamme, D. Poulin, and R. W. Spekkens, Phys. Rev. Lett. 92, 017901 (2004).
[CrossRef] [PubMed]

Brassard, G.

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

Derkacs, D.

R. J. Hughes, J. E. Nordholt, D. Derkacs, and C. G. Peterson, New J. Phys. 4, 43 (2002).
[CrossRef]

Gautier, J. D.

H. Zbinden, J. D. Gautier, N. Gisin, B. Huttner, A. Muller, and W. Tittel, Electron. Lett. 33, 586 (1997).
[CrossRef]

Gisin, N.

H. Zbinden, J. D. Gautier, N. Gisin, B. Huttner, A. Muller, and W. Tittel, Electron. Lett. 33, 586 (1997).
[CrossRef]

A. Muller, T. Herzog, B. Huttner, W. Tittel, H. Zbinden, and N. Gisin, Appl. Phys. Lett. 70, 793 (1997).
[CrossRef]

Gobby, C.

C. Gobby, Z. L. Yuan, and A. J. Shields, Appl. Phys. Lett. 84, 3762 (2004).
[CrossRef]

Gorman, P. M.

C. Kurtsiefer, P. Zarda, M. Halder, H. Weinfurter, P. M. Gorman, P. R. Tapster, and J. G. Rarity, Nature 419, 450 (2002).
[CrossRef] [PubMed]

Gottesman, D.

J. C. Boileau, D. Gottesman, R. Laflamme, D. Poulin, and R. W. Spekkens, Phys. Rev. Lett. 92, 017901 (2004).
[CrossRef] [PubMed]

Gui, Y. Z.

Guo, G. C.

Halder, M.

C. Kurtsiefer, P. Zarda, M. Halder, H. Weinfurter, P. M. Gorman, P. R. Tapster, and J. G. Rarity, Nature 419, 450 (2002).
[CrossRef] [PubMed]

Han, Z. F.

Herzog, T.

A. Muller, T. Herzog, B. Huttner, W. Tittel, H. Zbinden, and N. Gisin, Appl. Phys. Lett. 70, 793 (1997).
[CrossRef]

Hughes, R. J.

R. J. Hughes, J. E. Nordholt, D. Derkacs, and C. G. Peterson, New J. Phys. 4, 43 (2002).
[CrossRef]

Huttner, B.

A. Muller, T. Herzog, B. Huttner, W. Tittel, H. Zbinden, and N. Gisin, Appl. Phys. Lett. 70, 793 (1997).
[CrossRef]

H. Zbinden, J. D. Gautier, N. Gisin, B. Huttner, A. Muller, and W. Tittel, Electron. Lett. 33, 586 (1997).
[CrossRef]

Kurtsiefer, C.

C. Kurtsiefer, P. Zarda, M. Halder, H. Weinfurter, P. M. Gorman, P. R. Tapster, and J. G. Rarity, Nature 419, 450 (2002).
[CrossRef] [PubMed]

Laflamme, R.

J. C. Boileau, D. Gottesman, R. Laflamme, D. Poulin, and R. W. Spekkens, Phys. Rev. Lett. 92, 017901 (2004).
[CrossRef] [PubMed]

Marand, C.

Mo, X. F.

Muller, A.

H. Zbinden, J. D. Gautier, N. Gisin, B. Huttner, A. Muller, and W. Tittel, Electron. Lett. 33, 586 (1997).
[CrossRef]

A. Muller, T. Herzog, B. Huttner, W. Tittel, H. Zbinden, and N. Gisin, Appl. Phys. Lett. 70, 793 (1997).
[CrossRef]

Nordholt, J. E.

R. J. Hughes, J. E. Nordholt, D. Derkacs, and C. G. Peterson, New J. Phys. 4, 43 (2002).
[CrossRef]

Peterson, C. G.

R. J. Hughes, J. E. Nordholt, D. Derkacs, and C. G. Peterson, New J. Phys. 4, 43 (2002).
[CrossRef]

Poulin, D.

J. C. Boileau, D. Gottesman, R. Laflamme, D. Poulin, and R. W. Spekkens, Phys. Rev. Lett. 92, 017901 (2004).
[CrossRef] [PubMed]

Rarity, J. G.

C. Kurtsiefer, P. Zarda, M. Halder, H. Weinfurter, P. M. Gorman, P. R. Tapster, and J. G. Rarity, Nature 419, 450 (2002).
[CrossRef] [PubMed]

Risk, W. P.

D. S. Bethune and W. P. Risk, New J. Phys. 4, 42 (2002).
[CrossRef]

Salvail, L.

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

Shields, A. J.

C. Gobby, Z. L. Yuan, and A. J. Shields, Appl. Phys. Lett. 84, 3762 (2004).
[CrossRef]

Smolin, J.

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

Spekkens, R. W.

J. C. Boileau, D. Gottesman, R. Laflamme, D. Poulin, and R. W. Spekkens, Phys. Rev. Lett. 92, 017901 (2004).
[CrossRef] [PubMed]

Tapster, P. R.

C. Kurtsiefer, P. Zarda, M. Halder, H. Weinfurter, P. M. Gorman, P. R. Tapster, and J. G. Rarity, Nature 419, 450 (2002).
[CrossRef] [PubMed]

Tittel, W.

H. Zbinden, J. D. Gautier, N. Gisin, B. Huttner, A. Muller, and W. Tittel, Electron. Lett. 33, 586 (1997).
[CrossRef]

A. Muller, T. Herzog, B. Huttner, W. Tittel, H. Zbinden, and N. Gisin, Appl. Phys. Lett. 70, 793 (1997).
[CrossRef]

Townsend, P. D.

Weinfurter, H.

C. Kurtsiefer, P. Zarda, M. Halder, H. Weinfurter, P. M. Gorman, P. R. Tapster, and J. G. Rarity, Nature 419, 450 (2002).
[CrossRef] [PubMed]

Yuan, Z. L.

C. Gobby, Z. L. Yuan, and A. J. Shields, Appl. Phys. Lett. 84, 3762 (2004).
[CrossRef]

Zarda, P.

C. Kurtsiefer, P. Zarda, M. Halder, H. Weinfurter, P. M. Gorman, P. R. Tapster, and J. G. Rarity, Nature 419, 450 (2002).
[CrossRef] [PubMed]

Zbinden, H.

A. Muller, T. Herzog, B. Huttner, W. Tittel, H. Zbinden, and N. Gisin, Appl. Phys. Lett. 70, 793 (1997).
[CrossRef]

H. Zbinden, J. D. Gautier, N. Gisin, B. Huttner, A. Muller, and W. Tittel, Electron. Lett. 33, 586 (1997).
[CrossRef]

Zhu, B.

Appl. Phys. Lett. (2)

A. Muller, T. Herzog, B. Huttner, W. Tittel, H. Zbinden, and N. Gisin, Appl. Phys. Lett. 70, 793 (1997).
[CrossRef]

C. Gobby, Z. L. Yuan, and A. J. Shields, Appl. Phys. Lett. 84, 3762 (2004).
[CrossRef]

Electron. Lett. (1)

H. Zbinden, J. D. Gautier, N. Gisin, B. Huttner, A. Muller, and W. Tittel, Electron. Lett. 33, 586 (1997).
[CrossRef]

J. Cryptology (1)

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

Nature (1)

C. Kurtsiefer, P. Zarda, M. Halder, H. Weinfurter, P. M. Gorman, P. R. Tapster, and J. G. Rarity, Nature 419, 450 (2002).
[CrossRef] [PubMed]

New J. Phys. (2)

R. J. Hughes, J. E. Nordholt, D. Derkacs, and C. G. Peterson, New J. Phys. 4, 43 (2002).
[CrossRef]

D. S. Bethune and W. P. Risk, New J. Phys. 4, 42 (2002).
[CrossRef]

Opt. Fiber Technol. (1)

P. D. Townsend, Opt. Fiber Technol. 4, 345 (1998).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. Lett. (2)

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

J. C. Boileau, D. Gottesman, R. Laflamme, D. Poulin, and R. W. Spekkens, Phys. Rev. Lett. 92, 017901 (2004).
[CrossRef] [PubMed]

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Figures (2)

Fig. 1
Fig. 1

Schematic of the phase encoding and polarization measurement QKD system (see text for notation). (a) Phase encoding system with dual four-port polarizing beam splitters, with polarization measurement setup for the (b) BB84 and (c) B92 protocols.

Fig. 2
Fig. 2

Variation of polarization extinction ratio with time. Inset, single-photon counts versus Bob’s modulation voltage V PM 2 for V PM 1 = 0 V .

Tables (1)

Tables Icon

Table 1 Polarization States of Λ and Detection Probabilities for Different Phase Values of Alice and Bob

Equations (7)

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v = [ 0 1 ] , h = [ 1 0 ] .
T = T E T FM T E = exp ( i β ) T FM ,
Λ 1 = T SA T FM 1 T SA v = exp [ i ( θ SA + φ PM 1 ) ] h ,
Λ 2 = T LA T FM 2 T LA h = exp [ i ( θ lA ) ] v ,
Λ 1 = T LB T FM 4 T LB exp [ i ( θ SA + Φ PM 1 ) ] ( h ) = exp [ i ( θ SA + θ LB + φ PM 1 ) ] v ,
Λ 2 = T SB T FM 3 T SB exp ( i θ LA ) ( v ) = exp [ i ( θ LA + θ SB + φ PM 2 ) ] h .
Λ = ( exp [ i ( θ LA + θ SB + φ PM 2 ) ] exp [ i ( θ SA + θ LB + φ PM 1 ) ] ) = exp ( i θ ) ( exp ( i φ PM 2 ) exp ( i φ PM 1 ) ) ,

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