Abstract

We investigate a decoy-state quantum key distribution (QKD) scheme with a sub-Poissonian single-photon source, which is generated on demand by scattering a coherent state off a two-level system in a one-dimensional waveguide. We show that, compared to coherent state decoy-state QKD, there is a two-fold increase of the key generation rate. Furthermore, the performance is shown to be robust against both parameter variations and loss effects of the system.

© 2013 Optical Society of America

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  1. C. H. Bennett and G. Brassard, Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing (IEEE, 1984), pp. 175–179.
  2. V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, Rev. Mod. Phys. 81, 1301 (2009).
    [CrossRef]
  3. H.-K. Lo, M. Curty, and B. Qi, Phys. Rev. Lett. 108, 130503 (2012).
    [CrossRef]
  4. W.-Y. Hwang, Phys. Rev. Lett. 91, 057901 (2003).
    [CrossRef]
  5. H.-K. Lo, X. Ma, and K. Chen, Phys. Rev. Lett. 94, 230504 (2005).
    [CrossRef]
  6. X.-B. Wang, Phys. Rev. Lett. 94, 230503 (2005).
    [CrossRef]
  7. Y. Adachi, T. Yamamoto, M. Koashi, and N. Imoto, Phys. Rev. Lett. 99, 180503 (2007).
    [CrossRef]
  8. Q. Wang, W. Chen, G. Xavier, M. Swillo, T. Zhang, S. Sauge, M. Tengner, Z.-F. Han, G.-C. Guo, and A. Karlsson, Phys. Rev. Lett. 100, 090501 (2008).
    [CrossRef]
  9. J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gérard, Nat. Photonics 4, 174 (2010).
    [CrossRef]
  10. O. Astafiev, A. M. Zagoskin, A. A. Abdumalikov, Y. A. Pashkin, T. Yamamoto, K. Inomata, Y. Nakamura, and J. S. Tsai, Science 327, 840 (2010).
    [CrossRef]
  11. I.-C. Hoi, T. Palomaki, J. Lindkvist, G. Johansson, P. Delsing, and C. M. Wilson, Phys. Rev. Lett. 108, 263601 (2012).
    [CrossRef]
  12. A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A. W. Holleitner, M. Kaniber, and J. J. Finley, Phys. Rev. X 2, 011014(2012).
    [CrossRef]
  13. D. E. Chang, A. S. Sørensen, E. A. Demler, and M. D. Lukin, Nat. Phys. 3, 807 (2007).
    [CrossRef]
  14. J.-T. Shen and S. Fan, Phys. Rev. Lett. 98, 153003(2007).
    [CrossRef]
  15. E. Rephaeli, S. E. Kocabas, and S. Fan, Phys. Rev. A 84, 063832 (2011).
    [CrossRef]
  16. D. Roy, Phys. Rev. Lett. 106, 053601 (2011).
    [CrossRef]
  17. P. Kolchin, R. F. Oulton, and X. Zhang, Phys. Rev. Lett. 106, 113601 (2011).
    [CrossRef]
  18. H. Zheng, D. J. Gauthier, and H. U. Baranger, Phys. Rev. Lett. 107, 223601 (2011).
    [CrossRef]
  19. H. Zheng, D. J. Gauthier, and H. U. Baranger, Phys. Rev. A 82, 063816 (2010).
    [CrossRef]
  20. D. Gottesman, H.-K. Lo, N. Lutkenhaus, and J. Preskill, Quantum Inf. Comput. 4, 325 (2004).
    [CrossRef]
  21. G. Brassard, N. Lütkenhaus, T. Mor, and B. C. Sanders, Phys. Rev. Lett. 85, 1330 (2000).
    [CrossRef]
  22. X. Ma, B. Qi, Y. Zhao, and H.-K. Lo, Phys. Rev. A 72, 012326 (2005).
    [CrossRef]
  23. G. Gobby, Z. L. Yuan, and A. J. Shields, Appl. Phys. Lett. 84, 3762 (2004).
    [CrossRef]
  24. T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, Introduction to Algorithms, 3rd ed. (MIT and McGraw-Hill, 2009).
  25. M. H. Mikkelsen, private communication (2012).

2012 (3)

H.-K. Lo, M. Curty, and B. Qi, Phys. Rev. Lett. 108, 130503 (2012).
[CrossRef]

I.-C. Hoi, T. Palomaki, J. Lindkvist, G. Johansson, P. Delsing, and C. M. Wilson, Phys. Rev. Lett. 108, 263601 (2012).
[CrossRef]

A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A. W. Holleitner, M. Kaniber, and J. J. Finley, Phys. Rev. X 2, 011014(2012).
[CrossRef]

2011 (4)

E. Rephaeli, S. E. Kocabas, and S. Fan, Phys. Rev. A 84, 063832 (2011).
[CrossRef]

D. Roy, Phys. Rev. Lett. 106, 053601 (2011).
[CrossRef]

P. Kolchin, R. F. Oulton, and X. Zhang, Phys. Rev. Lett. 106, 113601 (2011).
[CrossRef]

H. Zheng, D. J. Gauthier, and H. U. Baranger, Phys. Rev. Lett. 107, 223601 (2011).
[CrossRef]

2010 (3)

H. Zheng, D. J. Gauthier, and H. U. Baranger, Phys. Rev. A 82, 063816 (2010).
[CrossRef]

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gérard, Nat. Photonics 4, 174 (2010).
[CrossRef]

O. Astafiev, A. M. Zagoskin, A. A. Abdumalikov, Y. A. Pashkin, T. Yamamoto, K. Inomata, Y. Nakamura, and J. S. Tsai, Science 327, 840 (2010).
[CrossRef]

2009 (1)

V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, Rev. Mod. Phys. 81, 1301 (2009).
[CrossRef]

2008 (1)

Q. Wang, W. Chen, G. Xavier, M. Swillo, T. Zhang, S. Sauge, M. Tengner, Z.-F. Han, G.-C. Guo, and A. Karlsson, Phys. Rev. Lett. 100, 090501 (2008).
[CrossRef]

2007 (3)

Y. Adachi, T. Yamamoto, M. Koashi, and N. Imoto, Phys. Rev. Lett. 99, 180503 (2007).
[CrossRef]

D. E. Chang, A. S. Sørensen, E. A. Demler, and M. D. Lukin, Nat. Phys. 3, 807 (2007).
[CrossRef]

J.-T. Shen and S. Fan, Phys. Rev. Lett. 98, 153003(2007).
[CrossRef]

2005 (3)

H.-K. Lo, X. Ma, and K. Chen, Phys. Rev. Lett. 94, 230504 (2005).
[CrossRef]

X.-B. Wang, Phys. Rev. Lett. 94, 230503 (2005).
[CrossRef]

X. Ma, B. Qi, Y. Zhao, and H.-K. Lo, Phys. Rev. A 72, 012326 (2005).
[CrossRef]

2004 (2)

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

D. Gottesman, H.-K. Lo, N. Lutkenhaus, and J. Preskill, Quantum Inf. Comput. 4, 325 (2004).
[CrossRef]

2003 (1)

W.-Y. Hwang, Phys. Rev. Lett. 91, 057901 (2003).
[CrossRef]

2000 (1)

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

Abdumalikov, A. A.

O. Astafiev, A. M. Zagoskin, A. A. Abdumalikov, Y. A. Pashkin, T. Yamamoto, K. Inomata, Y. Nakamura, and J. S. Tsai, Science 327, 840 (2010).
[CrossRef]

Adachi, Y.

Y. Adachi, T. Yamamoto, M. Koashi, and N. Imoto, Phys. Rev. Lett. 99, 180503 (2007).
[CrossRef]

Amann, M.-C.

A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A. W. Holleitner, M. Kaniber, and J. J. Finley, Phys. Rev. X 2, 011014(2012).
[CrossRef]

Astafiev, O.

O. Astafiev, A. M. Zagoskin, A. A. Abdumalikov, Y. A. Pashkin, T. Yamamoto, K. Inomata, Y. Nakamura, and J. S. Tsai, Science 327, 840 (2010).
[CrossRef]

Baranger, H. U.

H. Zheng, D. J. Gauthier, and H. U. Baranger, Phys. Rev. Lett. 107, 223601 (2011).
[CrossRef]

H. Zheng, D. J. Gauthier, and H. U. Baranger, Phys. Rev. A 82, 063816 (2010).
[CrossRef]

Bazin, M.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gérard, Nat. Photonics 4, 174 (2010).
[CrossRef]

Bechmann-Pasquinucci, H.

V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, Rev. Mod. Phys. 81, 1301 (2009).
[CrossRef]

Bennett, C. H.

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

Bichler, M.

A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A. W. Holleitner, M. Kaniber, and J. J. Finley, Phys. Rev. X 2, 011014(2012).
[CrossRef]

Bleuse, J.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gérard, Nat. Photonics 4, 174 (2010).
[CrossRef]

Brassard, G.

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

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

Cerf, N. J.

V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, Rev. Mod. Phys. 81, 1301 (2009).
[CrossRef]

Chang, D. E.

D. E. Chang, A. S. Sørensen, E. A. Demler, and M. D. Lukin, Nat. Phys. 3, 807 (2007).
[CrossRef]

Chen, K.

H.-K. Lo, X. Ma, and K. Chen, Phys. Rev. Lett. 94, 230504 (2005).
[CrossRef]

Chen, W.

Q. Wang, W. Chen, G. Xavier, M. Swillo, T. Zhang, S. Sauge, M. Tengner, Z.-F. Han, G.-C. Guo, and A. Karlsson, Phys. Rev. Lett. 100, 090501 (2008).
[CrossRef]

Claudon, J.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gérard, Nat. Photonics 4, 174 (2010).
[CrossRef]

Cormen, T. H.

T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, Introduction to Algorithms, 3rd ed. (MIT and McGraw-Hill, 2009).

Curty, M.

H.-K. Lo, M. Curty, and B. Qi, Phys. Rev. Lett. 108, 130503 (2012).
[CrossRef]

Delsing, P.

I.-C. Hoi, T. Palomaki, J. Lindkvist, G. Johansson, P. Delsing, and C. M. Wilson, Phys. Rev. Lett. 108, 263601 (2012).
[CrossRef]

Demler, E. A.

D. E. Chang, A. S. Sørensen, E. A. Demler, and M. D. Lukin, Nat. Phys. 3, 807 (2007).
[CrossRef]

Dušek, M.

V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, Rev. Mod. Phys. 81, 1301 (2009).
[CrossRef]

Fan, S.

E. Rephaeli, S. E. Kocabas, and S. Fan, Phys. Rev. A 84, 063832 (2011).
[CrossRef]

J.-T. Shen and S. Fan, Phys. Rev. Lett. 98, 153003(2007).
[CrossRef]

Finley, J. J.

A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A. W. Holleitner, M. Kaniber, and J. J. Finley, Phys. Rev. X 2, 011014(2012).
[CrossRef]

Frédérick, S.

A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A. W. Holleitner, M. Kaniber, and J. J. Finley, Phys. Rev. X 2, 011014(2012).
[CrossRef]

Gauthier, D. J.

H. Zheng, D. J. Gauthier, and H. U. Baranger, Phys. Rev. Lett. 107, 223601 (2011).
[CrossRef]

H. Zheng, D. J. Gauthier, and H. U. Baranger, Phys. Rev. A 82, 063816 (2010).
[CrossRef]

Gérard, J.-M.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gérard, Nat. Photonics 4, 174 (2010).
[CrossRef]

Gobby, G.

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

Gottesman, D.

D. Gottesman, H.-K. Lo, N. Lutkenhaus, and J. Preskill, Quantum Inf. Comput. 4, 325 (2004).
[CrossRef]

Gregersen, N.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gérard, Nat. Photonics 4, 174 (2010).
[CrossRef]

Günthner, T.

A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A. W. Holleitner, M. Kaniber, and J. J. Finley, Phys. Rev. X 2, 011014(2012).
[CrossRef]

Guo, G.-C.

Q. Wang, W. Chen, G. Xavier, M. Swillo, T. Zhang, S. Sauge, M. Tengner, Z.-F. Han, G.-C. Guo, and A. Karlsson, Phys. Rev. Lett. 100, 090501 (2008).
[CrossRef]

Han, Z.-F.

Q. Wang, W. Chen, G. Xavier, M. Swillo, T. Zhang, S. Sauge, M. Tengner, Z.-F. Han, G.-C. Guo, and A. Karlsson, Phys. Rev. Lett. 100, 090501 (2008).
[CrossRef]

Hauke, N.

A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A. W. Holleitner, M. Kaniber, and J. J. Finley, Phys. Rev. X 2, 011014(2012).
[CrossRef]

Hoi, I.-C.

I.-C. Hoi, T. Palomaki, J. Lindkvist, G. Johansson, P. Delsing, and C. M. Wilson, Phys. Rev. Lett. 108, 263601 (2012).
[CrossRef]

Holleitner, A. W.

A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A. W. Holleitner, M. Kaniber, and J. J. Finley, Phys. Rev. X 2, 011014(2012).
[CrossRef]

Hwang, W.-Y.

W.-Y. Hwang, Phys. Rev. Lett. 91, 057901 (2003).
[CrossRef]

Imoto, N.

Y. Adachi, T. Yamamoto, M. Koashi, and N. Imoto, Phys. Rev. Lett. 99, 180503 (2007).
[CrossRef]

Inomata, K.

O. Astafiev, A. M. Zagoskin, A. A. Abdumalikov, Y. A. Pashkin, T. Yamamoto, K. Inomata, Y. Nakamura, and J. S. Tsai, Science 327, 840 (2010).
[CrossRef]

Jaffrennou, P.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gérard, Nat. Photonics 4, 174 (2010).
[CrossRef]

Johansson, G.

I.-C. Hoi, T. Palomaki, J. Lindkvist, G. Johansson, P. Delsing, and C. M. Wilson, Phys. Rev. Lett. 108, 263601 (2012).
[CrossRef]

Kaniber, M.

A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A. W. Holleitner, M. Kaniber, and J. J. Finley, Phys. Rev. X 2, 011014(2012).
[CrossRef]

Karlsson, A.

Q. Wang, W. Chen, G. Xavier, M. Swillo, T. Zhang, S. Sauge, M. Tengner, Z.-F. Han, G.-C. Guo, and A. Karlsson, Phys. Rev. Lett. 100, 090501 (2008).
[CrossRef]

Koashi, M.

Y. Adachi, T. Yamamoto, M. Koashi, and N. Imoto, Phys. Rev. Lett. 99, 180503 (2007).
[CrossRef]

Kocabas, S. E.

E. Rephaeli, S. E. Kocabas, and S. Fan, Phys. Rev. A 84, 063832 (2011).
[CrossRef]

Kolchin, P.

P. Kolchin, R. F. Oulton, and X. Zhang, Phys. Rev. Lett. 106, 113601 (2011).
[CrossRef]

Lalanne, P.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gérard, Nat. Photonics 4, 174 (2010).
[CrossRef]

Laucht, A.

A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A. W. Holleitner, M. Kaniber, and J. J. Finley, Phys. Rev. X 2, 011014(2012).
[CrossRef]

Leiserson, C. E.

T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, Introduction to Algorithms, 3rd ed. (MIT and McGraw-Hill, 2009).

Lindkvist, J.

I.-C. Hoi, T. Palomaki, J. Lindkvist, G. Johansson, P. Delsing, and C. M. Wilson, Phys. Rev. Lett. 108, 263601 (2012).
[CrossRef]

Lo, H.-K.

H.-K. Lo, M. Curty, and B. Qi, Phys. Rev. Lett. 108, 130503 (2012).
[CrossRef]

X. Ma, B. Qi, Y. Zhao, and H.-K. Lo, Phys. Rev. A 72, 012326 (2005).
[CrossRef]

H.-K. Lo, X. Ma, and K. Chen, Phys. Rev. Lett. 94, 230504 (2005).
[CrossRef]

D. Gottesman, H.-K. Lo, N. Lutkenhaus, and J. Preskill, Quantum Inf. Comput. 4, 325 (2004).
[CrossRef]

Lukin, M. D.

D. E. Chang, A. S. Sørensen, E. A. Demler, and M. D. Lukin, Nat. Phys. 3, 807 (2007).
[CrossRef]

Lutkenhaus, N.

D. Gottesman, H.-K. Lo, N. Lutkenhaus, and J. Preskill, Quantum Inf. Comput. 4, 325 (2004).
[CrossRef]

Lütkenhaus, N.

V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, Rev. Mod. Phys. 81, 1301 (2009).
[CrossRef]

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

Ma, X.

H.-K. Lo, X. Ma, and K. Chen, Phys. Rev. Lett. 94, 230504 (2005).
[CrossRef]

X. Ma, B. Qi, Y. Zhao, and H.-K. Lo, Phys. Rev. A 72, 012326 (2005).
[CrossRef]

Malik, N. S.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gérard, Nat. Photonics 4, 174 (2010).
[CrossRef]

Mikkelsen, M. H.

M. H. Mikkelsen, private communication (2012).

Mor, T.

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

Nakamura, Y.

O. Astafiev, A. M. Zagoskin, A. A. Abdumalikov, Y. A. Pashkin, T. Yamamoto, K. Inomata, Y. Nakamura, and J. S. Tsai, Science 327, 840 (2010).
[CrossRef]

Oulton, R. F.

P. Kolchin, R. F. Oulton, and X. Zhang, Phys. Rev. Lett. 106, 113601 (2011).
[CrossRef]

Palomaki, T.

I.-C. Hoi, T. Palomaki, J. Lindkvist, G. Johansson, P. Delsing, and C. M. Wilson, Phys. Rev. Lett. 108, 263601 (2012).
[CrossRef]

Pashkin, Y. A.

O. Astafiev, A. M. Zagoskin, A. A. Abdumalikov, Y. A. Pashkin, T. Yamamoto, K. Inomata, Y. Nakamura, and J. S. Tsai, Science 327, 840 (2010).
[CrossRef]

Peev, M.

V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, Rev. Mod. Phys. 81, 1301 (2009).
[CrossRef]

Preskill, J.

D. Gottesman, H.-K. Lo, N. Lutkenhaus, and J. Preskill, Quantum Inf. Comput. 4, 325 (2004).
[CrossRef]

Pütz, S.

A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A. W. Holleitner, M. Kaniber, and J. J. Finley, Phys. Rev. X 2, 011014(2012).
[CrossRef]

Qi, B.

H.-K. Lo, M. Curty, and B. Qi, Phys. Rev. Lett. 108, 130503 (2012).
[CrossRef]

X. Ma, B. Qi, Y. Zhao, and H.-K. Lo, Phys. Rev. A 72, 012326 (2005).
[CrossRef]

Rephaeli, E.

E. Rephaeli, S. E. Kocabas, and S. Fan, Phys. Rev. A 84, 063832 (2011).
[CrossRef]

Rivest, R. L.

T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, Introduction to Algorithms, 3rd ed. (MIT and McGraw-Hill, 2009).

Roy, D.

D. Roy, Phys. Rev. Lett. 106, 053601 (2011).
[CrossRef]

Saive, R.

A. Laucht, S. Pütz, T. Günthner, N. Hauke, R. Saive, S. Frédérick, M. Bichler, M.-C. Amann, A. W. Holleitner, M. Kaniber, and J. J. Finley, Phys. Rev. X 2, 011014(2012).
[CrossRef]

Sanders, B. C.

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

Sauge, S.

Q. Wang, W. Chen, G. Xavier, M. Swillo, T. Zhang, S. Sauge, M. Tengner, Z.-F. Han, G.-C. Guo, and A. Karlsson, Phys. Rev. Lett. 100, 090501 (2008).
[CrossRef]

Sauvan, C.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gérard, Nat. Photonics 4, 174 (2010).
[CrossRef]

Scarani, V.

V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, Rev. Mod. Phys. 81, 1301 (2009).
[CrossRef]

Shen, J.-T.

J.-T. Shen and S. Fan, Phys. Rev. Lett. 98, 153003(2007).
[CrossRef]

Shields, A. J.

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

Sørensen, A. S.

D. E. Chang, A. S. Sørensen, E. A. Demler, and M. D. Lukin, Nat. Phys. 3, 807 (2007).
[CrossRef]

Stein, C.

T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, Introduction to Algorithms, 3rd ed. (MIT and McGraw-Hill, 2009).

Swillo, M.

Q. Wang, W. Chen, G. Xavier, M. Swillo, T. Zhang, S. Sauge, M. Tengner, Z.-F. Han, G.-C. Guo, and A. Karlsson, Phys. Rev. Lett. 100, 090501 (2008).
[CrossRef]

Tengner, M.

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Figures (3)

Fig. 1.
Fig. 1.

Nonclassical light source. The number statistics Pn of the 2LS source (2LSS, solid), and a coherent state (CS, dashed) of the same mean photon number as a function of Γ/σ. Inset: Pn at σ=Γ/2. Here, we set P=Γ/Γ=20.

Fig. 2.
Fig. 2.

Key generation rate with different light sources: weak coherent state (WCS), heralded single-photon source (HSPS), and 2LS source (2LSS) with σ=Γ/2 and P=20.

Fig. 3.
Fig. 3.

Key generation rate of 2LS sources with parameter variation and loss: (a) σ=5Γ,2Γ,Γ,0.5Γ. Inset: maximal transmission distance (max) as a function Γ/σ. (a) P=Γ/Γ=20; (b) P=2, 5, 10, 20. Inset: max as a function of P. σ=Γ/2.

Equations (3)

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

Rq{Qsf(Es)H2(Es)+Q1[1H2(e1)]},
Qs=n=0pnsYn,Es=1Qsn=0pnsYnen,
Qd=n=0pndYn,Ed=1Qdn=0pndYnen,

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