Abstract

We report the experimental generation of polarization-entangled photons at telecommunication wavelengths using spontaneous four-wave mixing in silicon-on-insulator wire waveguides. The key component is a 2D coupler that transforms path entanglement into polarization entanglement at the output of the device. Using quantum state tomography we find that the produced state has fidelity 88% with a pure nonmaximally entangled state. The produced state violates the CHSH Bell inequality by S=2.37±0.19.

© 2013 Optical Society of America

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  1. P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
    [CrossRef]
  2. G. Fujii, N. Namekata, M. Motoya, S. Kurimura, and S. Inoue, Opt. Express 15, 12769 (2007).
    [CrossRef]
  3. A. Martin, A. Issautier, H. Herrmann, W. Sohler, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, New J. Phys. 12, 103005 (2010).
    [CrossRef]
  4. H. Takesue and K. Inoue, Phys. Rev. A 70, 031802(R) (2004).
    [CrossRef]
  5. X. Li, P. L. Voss, J. E. Sharping, and P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
    [CrossRef]
  6. J. E. Sharping, K. F. Lee, M. A. Foster, A. C. Turner, B. S. Schmidt, M. Lipson, A. L. Gaeta, and P. Kumar, Opt. Express 14, 12388 (2006).
    [CrossRef]
  7. S. Clemmen, K. Phan Huy, W. Bogaerts, R. Baets, P. Emplit, and S. Massar, Opt. Express 17, 16558 (2009).
    [CrossRef]
  8. H. Takesue, Y. Tokura, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, and S.-I. Itabashi, Appl. Phys. Lett. 91, 201108 (2007).
    [CrossRef]
  9. K.-I. Harada, H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, Opt. Express 16, 20368 (2008).
    [CrossRef]
  10. H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, Opt. Express 16, 5721 (2008).
    [CrossRef]
  11. N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W. J. Munro, K. Shimizu, K. Yamada, Y. Tokura, and H. Takesue, Sci. Rep. 2, 00817 (2012).
  12. J. Fulconis, O. Alibart, J. L. O’Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
    [CrossRef]
  13. W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. Van Thourhout, and R. Baets, IEEE J. Sel. Top. Quantum Electron. 16, 33 (2010).
    [CrossRef]
  14. D. Taillaert, H. Chong, P. I. Borel, L. H. Frandsen, R. M. De La Rue, and R. Baets, IEEE Photon. Technol. Lett. 15, 1249 (2003).
    [CrossRef]
  15. S. Clemmen, A. Perret, J. Safioui, W. Bogaerts, R. Baets, S.-P. Gorza, P. Emplit, and S. Massar, J. Opt. Soc. Am. B 29, 1977 (2012).
    [CrossRef]
  16. L. Hardy, Phys. Rev. Lett. 71, 1665 (1993).
    [CrossRef]
  17. M. Giustina, A. Mech, S. Ramelow, B. Wittmann, J. Kofler, J. Beyer, A. Lita, B. Calkins, T. Gerrits, S. W. Nam, R. Ursin, and A. Zeilinger, “Bell violation with entangled photons, free of the fair-sampling assumption,” http://arxiv.org/abs/1212.0533 .
  18. D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, Phys. Rev. A 64, 052312 (2001).
    [CrossRef]
  19. J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).
    [CrossRef]
  20. J. F. Clauser and M. A. Horne, Phys. Rev. D 10, 526 (1974).
    [CrossRef]

2012 (2)

N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W. J. Munro, K. Shimizu, K. Yamada, Y. Tokura, and H. Takesue, Sci. Rep. 2, 00817 (2012).

S. Clemmen, A. Perret, J. Safioui, W. Bogaerts, R. Baets, S.-P. Gorza, P. Emplit, and S. Massar, J. Opt. Soc. Am. B 29, 1977 (2012).
[CrossRef]

2010 (2)

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. Van Thourhout, and R. Baets, IEEE J. Sel. Top. Quantum Electron. 16, 33 (2010).
[CrossRef]

A. Martin, A. Issautier, H. Herrmann, W. Sohler, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, New J. Phys. 12, 103005 (2010).
[CrossRef]

2009 (1)

2008 (2)

2007 (3)

G. Fujii, N. Namekata, M. Motoya, S. Kurimura, and S. Inoue, Opt. Express 15, 12769 (2007).
[CrossRef]

H. Takesue, Y. Tokura, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, and S.-I. Itabashi, Appl. Phys. Lett. 91, 201108 (2007).
[CrossRef]

J. Fulconis, O. Alibart, J. L. O’Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
[CrossRef]

2006 (1)

2005 (1)

X. Li, P. L. Voss, J. E. Sharping, and P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[CrossRef]

2004 (1)

H. Takesue and K. Inoue, Phys. Rev. A 70, 031802(R) (2004).
[CrossRef]

2003 (1)

D. Taillaert, H. Chong, P. I. Borel, L. H. Frandsen, R. M. De La Rue, and R. Baets, IEEE Photon. Technol. Lett. 15, 1249 (2003).
[CrossRef]

2001 (1)

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, Phys. Rev. A 64, 052312 (2001).
[CrossRef]

1995 (1)

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

1993 (1)

L. Hardy, Phys. Rev. Lett. 71, 1665 (1993).
[CrossRef]

1974 (1)

J. F. Clauser and M. A. Horne, Phys. Rev. D 10, 526 (1974).
[CrossRef]

1969 (1)

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).
[CrossRef]

Alibart, O.

A. Martin, A. Issautier, H. Herrmann, W. Sohler, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, New J. Phys. 12, 103005 (2010).
[CrossRef]

J. Fulconis, O. Alibart, J. L. O’Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
[CrossRef]

Baets, R.

S. Clemmen, A. Perret, J. Safioui, W. Bogaerts, R. Baets, S.-P. Gorza, P. Emplit, and S. Massar, J. Opt. Soc. Am. B 29, 1977 (2012).
[CrossRef]

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. Van Thourhout, and R. Baets, IEEE J. Sel. Top. Quantum Electron. 16, 33 (2010).
[CrossRef]

S. Clemmen, K. Phan Huy, W. Bogaerts, R. Baets, P. Emplit, and S. Massar, Opt. Express 17, 16558 (2009).
[CrossRef]

D. Taillaert, H. Chong, P. I. Borel, L. H. Frandsen, R. M. De La Rue, and R. Baets, IEEE Photon. Technol. Lett. 15, 1249 (2003).
[CrossRef]

Bogaerts, W.

Borel, P. I.

D. Taillaert, H. Chong, P. I. Borel, L. H. Frandsen, R. M. De La Rue, and R. Baets, IEEE Photon. Technol. Lett. 15, 1249 (2003).
[CrossRef]

Brouckaert, J.

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. Van Thourhout, and R. Baets, IEEE J. Sel. Top. Quantum Electron. 16, 33 (2010).
[CrossRef]

Chong, H.

D. Taillaert, H. Chong, P. I. Borel, L. H. Frandsen, R. M. De La Rue, and R. Baets, IEEE Photon. Technol. Lett. 15, 1249 (2003).
[CrossRef]

Clauser, J. F.

J. F. Clauser and M. A. Horne, Phys. Rev. D 10, 526 (1974).
[CrossRef]

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).
[CrossRef]

Clemmen, S.

De La Rue, R. M.

D. Taillaert, H. Chong, P. I. Borel, L. H. Frandsen, R. M. De La Rue, and R. Baets, IEEE Photon. Technol. Lett. 15, 1249 (2003).
[CrossRef]

De Vos, K.

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. Van Thourhout, and R. Baets, IEEE J. Sel. Top. Quantum Electron. 16, 33 (2010).
[CrossRef]

Dumon, P.

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. Van Thourhout, and R. Baets, IEEE J. Sel. Top. Quantum Electron. 16, 33 (2010).
[CrossRef]

Emplit, P.

Foster, M. A.

Frandsen, L. H.

D. Taillaert, H. Chong, P. I. Borel, L. H. Frandsen, R. M. De La Rue, and R. Baets, IEEE Photon. Technol. Lett. 15, 1249 (2003).
[CrossRef]

Fujii, G.

Fukuda, H.

N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W. J. Munro, K. Shimizu, K. Yamada, Y. Tokura, and H. Takesue, Sci. Rep. 2, 00817 (2012).

H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, Opt. Express 16, 5721 (2008).
[CrossRef]

K.-I. Harada, H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, Opt. Express 16, 20368 (2008).
[CrossRef]

H. Takesue, Y. Tokura, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, and S.-I. Itabashi, Appl. Phys. Lett. 91, 201108 (2007).
[CrossRef]

Fulconis, J.

J. Fulconis, O. Alibart, J. L. O’Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
[CrossRef]

Gaeta, A. L.

Gorza, S.-P.

Harada, K.-I.

Hardy, L.

L. Hardy, Phys. Rev. Lett. 71, 1665 (1993).
[CrossRef]

Herrmann, H.

A. Martin, A. Issautier, H. Herrmann, W. Sohler, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, New J. Phys. 12, 103005 (2010).
[CrossRef]

Holt, R. A.

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).
[CrossRef]

Horne, M. A.

J. F. Clauser and M. A. Horne, Phys. Rev. D 10, 526 (1974).
[CrossRef]

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).
[CrossRef]

Huy, K. Phan

Inoue, K.

H. Takesue and K. Inoue, Phys. Rev. A 70, 031802(R) (2004).
[CrossRef]

Inoue, S.

Issautier, A.

A. Martin, A. Issautier, H. Herrmann, W. Sohler, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, New J. Phys. 12, 103005 (2010).
[CrossRef]

Itabashi, S.-I.

James, D. F. V.

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, Phys. Rev. A 64, 052312 (2001).
[CrossRef]

Jeannic, H. Le

N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W. J. Munro, K. Shimizu, K. Yamada, Y. Tokura, and H. Takesue, Sci. Rep. 2, 00817 (2012).

Kumar, P.

Kurimura, S.

Kwiat, P. G.

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, Phys. Rev. A 64, 052312 (2001).
[CrossRef]

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Lee, K. F.

Li, X.

X. Li, P. L. Voss, J. E. Sharping, and P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[CrossRef]

Lipson, M.

Martin, A.

A. Martin, A. Issautier, H. Herrmann, W. Sohler, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, New J. Phys. 12, 103005 (2010).
[CrossRef]

Massar, S.

Matsuda, N.

N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W. J. Munro, K. Shimizu, K. Yamada, Y. Tokura, and H. Takesue, Sci. Rep. 2, 00817 (2012).

Mattle, K.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Motoya, M.

Munro, W. J.

N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W. J. Munro, K. Shimizu, K. Yamada, Y. Tokura, and H. Takesue, Sci. Rep. 2, 00817 (2012).

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, Phys. Rev. A 64, 052312 (2001).
[CrossRef]

Namekata, N.

O’Brien, J. L.

J. Fulconis, O. Alibart, J. L. O’Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
[CrossRef]

Ostrowsky, D. B.

A. Martin, A. Issautier, H. Herrmann, W. Sohler, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, New J. Phys. 12, 103005 (2010).
[CrossRef]

Perret, A.

Rarity, J. G.

J. Fulconis, O. Alibart, J. L. O’Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
[CrossRef]

Safioui, J.

Schmidt, B. S.

Selvaraja, S. K.

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. Van Thourhout, and R. Baets, IEEE J. Sel. Top. Quantum Electron. 16, 33 (2010).
[CrossRef]

Sergienko, A. V.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Sharping, J. E.

Shih, Y.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Shimizu, K.

N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W. J. Munro, K. Shimizu, K. Yamada, Y. Tokura, and H. Takesue, Sci. Rep. 2, 00817 (2012).

Shimony, A.

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).
[CrossRef]

Sohler, W.

A. Martin, A. Issautier, H. Herrmann, W. Sohler, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, New J. Phys. 12, 103005 (2010).
[CrossRef]

Taillaert, D.

D. Taillaert, H. Chong, P. I. Borel, L. H. Frandsen, R. M. De La Rue, and R. Baets, IEEE Photon. Technol. Lett. 15, 1249 (2003).
[CrossRef]

Takesue, H.

N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W. J. Munro, K. Shimizu, K. Yamada, Y. Tokura, and H. Takesue, Sci. Rep. 2, 00817 (2012).

H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, Opt. Express 16, 5721 (2008).
[CrossRef]

K.-I. Harada, H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, Opt. Express 16, 20368 (2008).
[CrossRef]

H. Takesue, Y. Tokura, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, and S.-I. Itabashi, Appl. Phys. Lett. 91, 201108 (2007).
[CrossRef]

H. Takesue and K. Inoue, Phys. Rev. A 70, 031802(R) (2004).
[CrossRef]

Tanzilli, S.

A. Martin, A. Issautier, H. Herrmann, W. Sohler, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, New J. Phys. 12, 103005 (2010).
[CrossRef]

Tokura, Y.

N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W. J. Munro, K. Shimizu, K. Yamada, Y. Tokura, and H. Takesue, Sci. Rep. 2, 00817 (2012).

H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, Opt. Express 16, 5721 (2008).
[CrossRef]

K.-I. Harada, H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, Opt. Express 16, 20368 (2008).
[CrossRef]

H. Takesue, Y. Tokura, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, and S.-I. Itabashi, Appl. Phys. Lett. 91, 201108 (2007).
[CrossRef]

Tsuchizawa, T.

N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W. J. Munro, K. Shimizu, K. Yamada, Y. Tokura, and H. Takesue, Sci. Rep. 2, 00817 (2012).

H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, Opt. Express 16, 5721 (2008).
[CrossRef]

K.-I. Harada, H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, Opt. Express 16, 20368 (2008).
[CrossRef]

H. Takesue, Y. Tokura, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, and S.-I. Itabashi, Appl. Phys. Lett. 91, 201108 (2007).
[CrossRef]

Turner, A. C.

Van Thourhout, D.

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. Van Thourhout, and R. Baets, IEEE J. Sel. Top. Quantum Electron. 16, 33 (2010).
[CrossRef]

Voss, P. L.

X. Li, P. L. Voss, J. E. Sharping, and P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[CrossRef]

Wadsworth, W. J.

J. Fulconis, O. Alibart, J. L. O’Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
[CrossRef]

Watanabe, T.

Weinfurter, H.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

White, A. G.

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, Phys. Rev. A 64, 052312 (2001).
[CrossRef]

Yamada, K.

N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W. J. Munro, K. Shimizu, K. Yamada, Y. Tokura, and H. Takesue, Sci. Rep. 2, 00817 (2012).

H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, Opt. Express 16, 5721 (2008).
[CrossRef]

K.-I. Harada, H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, Opt. Express 16, 20368 (2008).
[CrossRef]

H. Takesue, Y. Tokura, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, and S.-I. Itabashi, Appl. Phys. Lett. 91, 201108 (2007).
[CrossRef]

Zeilinger, A.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

Appl. Phys. Lett. (1)

H. Takesue, Y. Tokura, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, and S.-I. Itabashi, Appl. Phys. Lett. 91, 201108 (2007).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

W. Bogaerts, S. K. Selvaraja, P. Dumon, J. Brouckaert, K. De Vos, D. Van Thourhout, and R. Baets, IEEE J. Sel. Top. Quantum Electron. 16, 33 (2010).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

D. Taillaert, H. Chong, P. I. Borel, L. H. Frandsen, R. M. De La Rue, and R. Baets, IEEE Photon. Technol. Lett. 15, 1249 (2003).
[CrossRef]

J. Opt. Soc. Am. B (1)

New J. Phys. (1)

A. Martin, A. Issautier, H. Herrmann, W. Sohler, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, New J. Phys. 12, 103005 (2010).
[CrossRef]

Opt. Express (5)

Phys. Rev. A (2)

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, Phys. Rev. A 64, 052312 (2001).
[CrossRef]

H. Takesue and K. Inoue, Phys. Rev. A 70, 031802(R) (2004).
[CrossRef]

Phys. Rev. D (1)

J. F. Clauser and M. A. Horne, Phys. Rev. D 10, 526 (1974).
[CrossRef]

Phys. Rev. Lett. (5)

J. Fulconis, O. Alibart, J. L. O’Brien, W. J. Wadsworth, and J. G. Rarity, Phys. Rev. Lett. 99, 120501 (2007).
[CrossRef]

X. Li, P. L. Voss, J. E. Sharping, and P. Kumar, Phys. Rev. Lett. 94, 053601 (2005).
[CrossRef]

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. 75, 4337 (1995).
[CrossRef]

L. Hardy, Phys. Rev. Lett. 71, 1665 (1993).
[CrossRef]

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).
[CrossRef]

Sci. Rep. (1)

N. Matsuda, H. Le Jeannic, H. Fukuda, T. Tsuchizawa, W. J. Munro, K. Shimizu, K. Yamada, Y. Tokura, and H. Takesue, Sci. Rep. 2, 00817 (2012).

Other (1)

M. Giustina, A. Mech, S. Ramelow, B. Wittmann, J. Kofler, J. Beyer, A. Lita, B. Calkins, T. Gerrits, S. W. Nam, R. Ursin, and A. Zeilinger, “Bell violation with entangled photons, free of the fair-sampling assumption,” http://arxiv.org/abs/1212.0533 .

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Figures (3)

Fig. 1.
Fig. 1.

(a) Schematic of the SOI chip producing polarization-entangled photon pairs. Inset: SEM image of the 2D grating coupler. (b) Experimental setup for generating and measuring polarization-entangled photons (see text for detailed description of components). Inset: typical experimental results in the case of constructive and destructive interference.

Fig. 2.
Fig. 2.

One- and two-photon interferences. Horizontal axis is the angle θ of Alice’s half-wave plate (λ/2A), on which a precision of ±3° is assumed. Left vertical axis is the number of coincidences between A’s and B’s detectors registered during 20 min. Symbols are experimental results with statistical error bars, while curves are sinusoidal fits assuming a perfect net visibility. Shaded regions correspond to measured accidental coincidence rates. The blue and red curves (bottom curves) correspond to AVBV and AVBH coincidences, respectively. The black curve (top curve) is the single-photon rate of Alice’s detector as a function of θ. The right vertical axis is the total number of counts registered by Alice’s detector in 10 s.

Fig. 3.
Fig. 3.

Estimated density matrix ρAB(in) of the state produced at the output of the silicon chip is shown in the upper panels. This state has 88% fidelity with the nonmaximally entangled state 0.6|HA|HB+0.4|VA|VB, whose density matrix is represented in the lower panels. For each density matrix, Re(ρ) and Im(ρ) are plotted on the left and right, respectively.

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