Abstract

We show how coupled cavities can be used to produce high-dimensional entangled states of electromagnetic fields. We also show how such an entangled state can be verified by mapping the entangled fields to atoms or quantum dots in the defects. We propose this as a source of high dimensional entangled states on demand and suggest ways to implement it using coupled defects in photonic crystals or coupled toroidal microcavities.

© 2007 Optical Society of America

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  1. C. H. Bennett and G. Brassard, "Quantum cryptography: public key distribution and coin tossing," in Proceedings of IEEE International Conference on Computers Systems and Signal Processing, (IEEE, 1984), pp. 175-179.
  2. A. K. Ekert, "Quantum cryptography based on Bells theorem," Phys. Rev. Lett. 67, 661-663 (1991).
    [CrossRef] [PubMed]
  3. P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, "New high-intensity source of polarization-entangled photon pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
    [CrossRef] [PubMed]
  4. D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eible, H. Weinfurter, and A. Zeilinger, "Experimental quantum teleportation," Nature 390, 575-579 (1997).
    [CrossRef]
  5. S. L. Braunstein and H. J. Kimble, "Teleportation of continuous quantum variables," Phys. Rev. Lett. 80, 869-872 (1998).
    [CrossRef]
  6. J. C. Howell, A. Lamas-Linares, and D. Bouwmeester, "Experimental violation of a spin-1 Bell inequality using maximally entangled four-photon states," Phys. Rev. Lett. 88, 030401 (2002).
    [CrossRef] [PubMed]
  7. P. D. Drummond, "Violations of Bell's inequality in cooperative states," Phys. Rev. Lett. 50, 1407-1410 (1983).
    [CrossRef]
  8. M. D. Reid, W. J. Munro, and F. De Martini, "Violation of multiparticle Bell inequalities for low- and high-flux parametric amplification using both vacuum and entangled input states," Phys. Rev. A 66, 033801 (2002).
    [CrossRef]
  9. S. M. Spillane, T. J. Kippenberg, K. J. Vahala, K. W. Goh, E. Wilcut, and H. J. Kimble, "Ultrahigh-Q toroidal microresonators for cavity quantum electrodynamics," Phys. Rev. A 71, 013817 (2005).
    [CrossRef]
  10. J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, "Design of photonic crystal microcavities for cavity QED," Phys. Rev. E 65, 016608 (2001).
    [CrossRef]
  11. C. J. M. Smith, H. Benisty, D. Labilloy, U. Oesterle, R. Houdre, T. F. Krauss, R. M. De La Rue, and C. Weisbuch, "Near-infrared microcavities confined by two-dimensional photonic bandgap crystals," Electron. Lett. 35, 228-229 (1999).
    [CrossRef]
  12. M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
    [CrossRef]
  13. K. Hennessy, C. Reese, A. Badolato, C. F. Wang, A. Imamolu, P. M. Petroff, E. Hu, G. Jin, S. Shi, and D. W. Prather, "Square-lattice photonic crystal microcavities for coupling to single InAs quantum dots," Appl. Phys. Lett. 83, 3650-3652 (2003).
    [CrossRef]
  14. E. Waks and J. Vuckovic, "Dipole induced transparency in drop-filter cavity-waveguide systems," Phys. Rev. Lett. 96, 153601 (2006).
    [CrossRef] [PubMed]
  15. A. S. Parkins, P. Marte, P. Zoller, O. Carnal, and H. J. Kimble, "Quantum-state mapping between multilevel atoms and cavity light fields," Phys. Rev. A 51, 1578-1596 (1995).
    [CrossRef] [PubMed]
  16. D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, "Bell inequalities for arbitrarily high-dimensional systems," Phys. Rev. Lett. 88, 040404 (2002).
    [CrossRef] [PubMed]
  17. D. Kaszlikowski, L. C. Kwek, J.-L. Chen, M. Zukowski, and C. H. Oh, "Clauser-Horne inequality for three state systems," Phys. Rev. A 65, 032118 (2002).
    [CrossRef]
  18. W. Hansel, P. Hommelhoff, T. W. Hansch, and J. Reichel, "Bose-Einstein condensation on a microelectronic chip," Nature 413, 498-501 (2001).
    [CrossRef] [PubMed]
  19. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
    [CrossRef] [PubMed]
  20. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
    [CrossRef] [PubMed]
  21. C. M. Soukoulis, Photonic Crystal and Light Localization in the 21st Century (Kluwer, 2001).
  22. N. Stefanou and A. Modinos, "Impurity bands in photonic insulators," Phys. Rev. B 57, 12127-12133 (1998).
    [CrossRef]
  23. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide a proposal and analysis," Opt. Lett. 24, 711-713 (1999).
    [CrossRef]
  24. D. G. Angelakis, M. F. Santos, V. Yannopapas, and A. Ekert, "Quantum computation in photonic crystals," http://arxiv.org/abs/quant-ph 0410189 (2004).
  25. D. G. Angelakis, M. F. Santos, S. Bose, and A. Ekert, "Mott transitions in coupled cavity arrays," http://arxiv.org.abs/quant-ph/06061159.
  26. D. Englund, A. Faraon, B. Zhang, Y. Yamamoto, and J. Vuckovic, "Generation and transfer of single photons on a photonic crystal chip," arXiv, quant-ph/0609053.

2006 (1)

E. Waks and J. Vuckovic, "Dipole induced transparency in drop-filter cavity-waveguide systems," Phys. Rev. Lett. 96, 153601 (2006).
[CrossRef] [PubMed]

2005 (1)

S. M. Spillane, T. J. Kippenberg, K. J. Vahala, K. W. Goh, E. Wilcut, and H. J. Kimble, "Ultrahigh-Q toroidal microresonators for cavity quantum electrodynamics," Phys. Rev. A 71, 013817 (2005).
[CrossRef]

2003 (1)

K. Hennessy, C. Reese, A. Badolato, C. F. Wang, A. Imamolu, P. M. Petroff, E. Hu, G. Jin, S. Shi, and D. W. Prather, "Square-lattice photonic crystal microcavities for coupling to single InAs quantum dots," Appl. Phys. Lett. 83, 3650-3652 (2003).
[CrossRef]

2002 (4)

J. C. Howell, A. Lamas-Linares, and D. Bouwmeester, "Experimental violation of a spin-1 Bell inequality using maximally entangled four-photon states," Phys. Rev. Lett. 88, 030401 (2002).
[CrossRef] [PubMed]

M. D. Reid, W. J. Munro, and F. De Martini, "Violation of multiparticle Bell inequalities for low- and high-flux parametric amplification using both vacuum and entangled input states," Phys. Rev. A 66, 033801 (2002).
[CrossRef]

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, "Bell inequalities for arbitrarily high-dimensional systems," Phys. Rev. Lett. 88, 040404 (2002).
[CrossRef] [PubMed]

D. Kaszlikowski, L. C. Kwek, J.-L. Chen, M. Zukowski, and C. H. Oh, "Clauser-Horne inequality for three state systems," Phys. Rev. A 65, 032118 (2002).
[CrossRef]

2001 (2)

W. Hansel, P. Hommelhoff, T. W. Hansch, and J. Reichel, "Bose-Einstein condensation on a microelectronic chip," Nature 413, 498-501 (2001).
[CrossRef] [PubMed]

J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, "Design of photonic crystal microcavities for cavity QED," Phys. Rev. E 65, 016608 (2001).
[CrossRef]

2000 (1)

M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
[CrossRef]

1999 (2)

C. J. M. Smith, H. Benisty, D. Labilloy, U. Oesterle, R. Houdre, T. F. Krauss, R. M. De La Rue, and C. Weisbuch, "Near-infrared microcavities confined by two-dimensional photonic bandgap crystals," Electron. Lett. 35, 228-229 (1999).
[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide a proposal and analysis," Opt. Lett. 24, 711-713 (1999).
[CrossRef]

1998 (2)

N. Stefanou and A. Modinos, "Impurity bands in photonic insulators," Phys. Rev. B 57, 12127-12133 (1998).
[CrossRef]

S. L. Braunstein and H. J. Kimble, "Teleportation of continuous quantum variables," Phys. Rev. Lett. 80, 869-872 (1998).
[CrossRef]

1997 (1)

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eible, H. Weinfurter, and A. Zeilinger, "Experimental quantum teleportation," Nature 390, 575-579 (1997).
[CrossRef]

1995 (2)

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, "New high-intensity source of polarization-entangled photon pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

A. S. Parkins, P. Marte, P. Zoller, O. Carnal, and H. J. Kimble, "Quantum-state mapping between multilevel atoms and cavity light fields," Phys. Rev. A 51, 1578-1596 (1995).
[CrossRef] [PubMed]

1991 (1)

A. K. Ekert, "Quantum cryptography based on Bells theorem," Phys. Rev. Lett. 67, 661-663 (1991).
[CrossRef] [PubMed]

1987 (2)

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

1983 (1)

P. D. Drummond, "Violations of Bell's inequality in cooperative states," Phys. Rev. Lett. 50, 1407-1410 (1983).
[CrossRef]

Angelakis, D. G.

D. G. Angelakis, M. F. Santos, V. Yannopapas, and A. Ekert, "Quantum computation in photonic crystals," http://arxiv.org/abs/quant-ph 0410189 (2004).

D. G. Angelakis, M. F. Santos, S. Bose, and A. Ekert, "Mott transitions in coupled cavity arrays," http://arxiv.org.abs/quant-ph/06061159.

Armitage, A.

M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
[CrossRef]

Astratov, V. N.

M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
[CrossRef]

Badolato, A.

K. Hennessy, C. Reese, A. Badolato, C. F. Wang, A. Imamolu, P. M. Petroff, E. Hu, G. Jin, S. Shi, and D. W. Prather, "Square-lattice photonic crystal microcavities for coupling to single InAs quantum dots," Appl. Phys. Lett. 83, 3650-3652 (2003).
[CrossRef]

Baumberg, J. J.

M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
[CrossRef]

Benisty, H.

C. J. M. Smith, H. Benisty, D. Labilloy, U. Oesterle, R. Houdre, T. F. Krauss, R. M. De La Rue, and C. Weisbuch, "Near-infrared microcavities confined by two-dimensional photonic bandgap crystals," Electron. Lett. 35, 228-229 (1999).
[CrossRef]

Bennett, C. H.

C. H. Bennett and G. Brassard, "Quantum cryptography: public key distribution and coin tossing," in Proceedings of IEEE International Conference on Computers Systems and Signal Processing, (IEEE, 1984), pp. 175-179.

Bose, S.

D. G. Angelakis, M. F. Santos, S. Bose, and A. Ekert, "Mott transitions in coupled cavity arrays," http://arxiv.org.abs/quant-ph/06061159.

Bouwmeester, D.

J. C. Howell, A. Lamas-Linares, and D. Bouwmeester, "Experimental violation of a spin-1 Bell inequality using maximally entangled four-photon states," Phys. Rev. Lett. 88, 030401 (2002).
[CrossRef] [PubMed]

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eible, H. Weinfurter, and A. Zeilinger, "Experimental quantum teleportation," Nature 390, 575-579 (1997).
[CrossRef]

Bradley, D. C. C.

M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
[CrossRef]

Brassard, G.

C. H. Bennett and G. Brassard, "Quantum cryptography: public key distribution and coin tossing," in Proceedings of IEEE International Conference on Computers Systems and Signal Processing, (IEEE, 1984), pp. 175-179.

Braunstein, S. L.

S. L. Braunstein and H. J. Kimble, "Teleportation of continuous quantum variables," Phys. Rev. Lett. 80, 869-872 (1998).
[CrossRef]

Carnal, O.

A. S. Parkins, P. Marte, P. Zoller, O. Carnal, and H. J. Kimble, "Quantum-state mapping between multilevel atoms and cavity light fields," Phys. Rev. A 51, 1578-1596 (1995).
[CrossRef] [PubMed]

Chen, J.-L.

D. Kaszlikowski, L. C. Kwek, J.-L. Chen, M. Zukowski, and C. H. Oh, "Clauser-Horne inequality for three state systems," Phys. Rev. A 65, 032118 (2002).
[CrossRef]

Collins, D.

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, "Bell inequalities for arbitrarily high-dimensional systems," Phys. Rev. Lett. 88, 040404 (2002).
[CrossRef] [PubMed]

De La Rue, R. M.

C. J. M. Smith, H. Benisty, D. Labilloy, U. Oesterle, R. Houdre, T. F. Krauss, R. M. De La Rue, and C. Weisbuch, "Near-infrared microcavities confined by two-dimensional photonic bandgap crystals," Electron. Lett. 35, 228-229 (1999).
[CrossRef]

De Martini, F.

M. D. Reid, W. J. Munro, and F. De Martini, "Violation of multiparticle Bell inequalities for low- and high-flux parametric amplification using both vacuum and entangled input states," Phys. Rev. A 66, 033801 (2002).
[CrossRef]

Drummond, P. D.

P. D. Drummond, "Violations of Bell's inequality in cooperative states," Phys. Rev. Lett. 50, 1407-1410 (1983).
[CrossRef]

Eible, M.

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eible, H. Weinfurter, and A. Zeilinger, "Experimental quantum teleportation," Nature 390, 575-579 (1997).
[CrossRef]

Ekert, A.

D. G. Angelakis, M. F. Santos, S. Bose, and A. Ekert, "Mott transitions in coupled cavity arrays," http://arxiv.org.abs/quant-ph/06061159.

D. G. Angelakis, M. F. Santos, V. Yannopapas, and A. Ekert, "Quantum computation in photonic crystals," http://arxiv.org/abs/quant-ph 0410189 (2004).

Ekert, A. K.

A. K. Ekert, "Quantum cryptography based on Bells theorem," Phys. Rev. Lett. 67, 661-663 (1991).
[CrossRef] [PubMed]

Emam-Ismail, M.

M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
[CrossRef]

Englund, D.

D. Englund, A. Faraon, B. Zhang, Y. Yamamoto, and J. Vuckovic, "Generation and transfer of single photons on a photonic crystal chip," arXiv, quant-ph/0609053.

Faraon, A.

D. Englund, A. Faraon, B. Zhang, Y. Yamamoto, and J. Vuckovic, "Generation and transfer of single photons on a photonic crystal chip," arXiv, quant-ph/0609053.

Gisin, N.

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, "Bell inequalities for arbitrarily high-dimensional systems," Phys. Rev. Lett. 88, 040404 (2002).
[CrossRef] [PubMed]

Goh, K. W.

S. M. Spillane, T. J. Kippenberg, K. J. Vahala, K. W. Goh, E. Wilcut, and H. J. Kimble, "Ultrahigh-Q toroidal microresonators for cavity quantum electrodynamics," Phys. Rev. A 71, 013817 (2005).
[CrossRef]

Hansch, T. W.

W. Hansel, P. Hommelhoff, T. W. Hansch, and J. Reichel, "Bose-Einstein condensation on a microelectronic chip," Nature 413, 498-501 (2001).
[CrossRef] [PubMed]

Hansel, W.

W. Hansel, P. Hommelhoff, T. W. Hansch, and J. Reichel, "Bose-Einstein condensation on a microelectronic chip," Nature 413, 498-501 (2001).
[CrossRef] [PubMed]

Hennessy, K.

K. Hennessy, C. Reese, A. Badolato, C. F. Wang, A. Imamolu, P. M. Petroff, E. Hu, G. Jin, S. Shi, and D. W. Prather, "Square-lattice photonic crystal microcavities for coupling to single InAs quantum dots," Appl. Phys. Lett. 83, 3650-3652 (2003).
[CrossRef]

Hommelhoff, P.

W. Hansel, P. Hommelhoff, T. W. Hansch, and J. Reichel, "Bose-Einstein condensation on a microelectronic chip," Nature 413, 498-501 (2001).
[CrossRef] [PubMed]

Houdre, R.

C. J. M. Smith, H. Benisty, D. Labilloy, U. Oesterle, R. Houdre, T. F. Krauss, R. M. De La Rue, and C. Weisbuch, "Near-infrared microcavities confined by two-dimensional photonic bandgap crystals," Electron. Lett. 35, 228-229 (1999).
[CrossRef]

Howell, J. C.

J. C. Howell, A. Lamas-Linares, and D. Bouwmeester, "Experimental violation of a spin-1 Bell inequality using maximally entangled four-photon states," Phys. Rev. Lett. 88, 030401 (2002).
[CrossRef] [PubMed]

Hu, E.

K. Hennessy, C. Reese, A. Badolato, C. F. Wang, A. Imamolu, P. M. Petroff, E. Hu, G. Jin, S. Shi, and D. W. Prather, "Square-lattice photonic crystal microcavities for coupling to single InAs quantum dots," Appl. Phys. Lett. 83, 3650-3652 (2003).
[CrossRef]

Imamolu, A.

K. Hennessy, C. Reese, A. Badolato, C. F. Wang, A. Imamolu, P. M. Petroff, E. Hu, G. Jin, S. Shi, and D. W. Prather, "Square-lattice photonic crystal microcavities for coupling to single InAs quantum dots," Appl. Phys. Lett. 83, 3650-3652 (2003).
[CrossRef]

Jin, G.

K. Hennessy, C. Reese, A. Badolato, C. F. Wang, A. Imamolu, P. M. Petroff, E. Hu, G. Jin, S. Shi, and D. W. Prather, "Square-lattice photonic crystal microcavities for coupling to single InAs quantum dots," Appl. Phys. Lett. 83, 3650-3652 (2003).
[CrossRef]

John, S.

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

Kaszlikowski, D.

D. Kaszlikowski, L. C. Kwek, J.-L. Chen, M. Zukowski, and C. H. Oh, "Clauser-Horne inequality for three state systems," Phys. Rev. A 65, 032118 (2002).
[CrossRef]

Kimble, H. J.

S. M. Spillane, T. J. Kippenberg, K. J. Vahala, K. W. Goh, E. Wilcut, and H. J. Kimble, "Ultrahigh-Q toroidal microresonators for cavity quantum electrodynamics," Phys. Rev. A 71, 013817 (2005).
[CrossRef]

S. L. Braunstein and H. J. Kimble, "Teleportation of continuous quantum variables," Phys. Rev. Lett. 80, 869-872 (1998).
[CrossRef]

A. S. Parkins, P. Marte, P. Zoller, O. Carnal, and H. J. Kimble, "Quantum-state mapping between multilevel atoms and cavity light fields," Phys. Rev. A 51, 1578-1596 (1995).
[CrossRef] [PubMed]

Kippenberg, T. J.

S. M. Spillane, T. J. Kippenberg, K. J. Vahala, K. W. Goh, E. Wilcut, and H. J. Kimble, "Ultrahigh-Q toroidal microresonators for cavity quantum electrodynamics," Phys. Rev. A 71, 013817 (2005).
[CrossRef]

Krauss, T. F.

C. J. M. Smith, H. Benisty, D. Labilloy, U. Oesterle, R. Houdre, T. F. Krauss, R. M. De La Rue, and C. Weisbuch, "Near-infrared microcavities confined by two-dimensional photonic bandgap crystals," Electron. Lett. 35, 228-229 (1999).
[CrossRef]

Kwek, L. C.

D. Kaszlikowski, L. C. Kwek, J.-L. Chen, M. Zukowski, and C. H. Oh, "Clauser-Horne inequality for three state systems," Phys. Rev. A 65, 032118 (2002).
[CrossRef]

Kwiat, P. G.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, "New high-intensity source of polarization-entangled photon pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

Labilloy, D.

C. J. M. Smith, H. Benisty, D. Labilloy, U. Oesterle, R. Houdre, T. F. Krauss, R. M. De La Rue, and C. Weisbuch, "Near-infrared microcavities confined by two-dimensional photonic bandgap crystals," Electron. Lett. 35, 228-229 (1999).
[CrossRef]

Lamas-Linares, A.

J. C. Howell, A. Lamas-Linares, and D. Bouwmeester, "Experimental violation of a spin-1 Bell inequality using maximally entangled four-photon states," Phys. Rev. Lett. 88, 030401 (2002).
[CrossRef] [PubMed]

Lee, R. K.

Lidzey, D. G.

M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
[CrossRef]

Linden, N.

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, "Bell inequalities for arbitrarily high-dimensional systems," Phys. Rev. Lett. 88, 040404 (2002).
[CrossRef] [PubMed]

Loncar, M.

J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, "Design of photonic crystal microcavities for cavity QED," Phys. Rev. E 65, 016608 (2001).
[CrossRef]

Mabuchi, H.

J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, "Design of photonic crystal microcavities for cavity QED," Phys. Rev. E 65, 016608 (2001).
[CrossRef]

Marte, P.

A. S. Parkins, P. Marte, P. Zoller, O. Carnal, and H. J. Kimble, "Quantum-state mapping between multilevel atoms and cavity light fields," Phys. Rev. A 51, 1578-1596 (1995).
[CrossRef] [PubMed]

Massar, S.

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, "Bell inequalities for arbitrarily high-dimensional systems," Phys. Rev. Lett. 88, 040404 (2002).
[CrossRef] [PubMed]

Mattle, K.

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eible, H. Weinfurter, and A. Zeilinger, "Experimental quantum teleportation," Nature 390, 575-579 (1997).
[CrossRef]

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, "New high-intensity source of polarization-entangled photon pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

Modinos, A.

N. Stefanou and A. Modinos, "Impurity bands in photonic insulators," Phys. Rev. B 57, 12127-12133 (1998).
[CrossRef]

Munro, W. J.

M. D. Reid, W. J. Munro, and F. De Martini, "Violation of multiparticle Bell inequalities for low- and high-flux parametric amplification using both vacuum and entangled input states," Phys. Rev. A 66, 033801 (2002).
[CrossRef]

Oesterle, U.

C. J. M. Smith, H. Benisty, D. Labilloy, U. Oesterle, R. Houdre, T. F. Krauss, R. M. De La Rue, and C. Weisbuch, "Near-infrared microcavities confined by two-dimensional photonic bandgap crystals," Electron. Lett. 35, 228-229 (1999).
[CrossRef]

Oh, C. H.

D. Kaszlikowski, L. C. Kwek, J.-L. Chen, M. Zukowski, and C. H. Oh, "Clauser-Horne inequality for three state systems," Phys. Rev. A 65, 032118 (2002).
[CrossRef]

Pan, J.-W.

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eible, H. Weinfurter, and A. Zeilinger, "Experimental quantum teleportation," Nature 390, 575-579 (1997).
[CrossRef]

Parkins, A. S.

A. S. Parkins, P. Marte, P. Zoller, O. Carnal, and H. J. Kimble, "Quantum-state mapping between multilevel atoms and cavity light fields," Phys. Rev. A 51, 1578-1596 (1995).
[CrossRef] [PubMed]

Petroff, P. M.

K. Hennessy, C. Reese, A. Badolato, C. F. Wang, A. Imamolu, P. M. Petroff, E. Hu, G. Jin, S. Shi, and D. W. Prather, "Square-lattice photonic crystal microcavities for coupling to single InAs quantum dots," Appl. Phys. Lett. 83, 3650-3652 (2003).
[CrossRef]

Popescu, S.

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, "Bell inequalities for arbitrarily high-dimensional systems," Phys. Rev. Lett. 88, 040404 (2002).
[CrossRef] [PubMed]

Prather, D. W.

K. Hennessy, C. Reese, A. Badolato, C. F. Wang, A. Imamolu, P. M. Petroff, E. Hu, G. Jin, S. Shi, and D. W. Prather, "Square-lattice photonic crystal microcavities for coupling to single InAs quantum dots," Appl. Phys. Lett. 83, 3650-3652 (2003).
[CrossRef]

Reese, C.

K. Hennessy, C. Reese, A. Badolato, C. F. Wang, A. Imamolu, P. M. Petroff, E. Hu, G. Jin, S. Shi, and D. W. Prather, "Square-lattice photonic crystal microcavities for coupling to single InAs quantum dots," Appl. Phys. Lett. 83, 3650-3652 (2003).
[CrossRef]

Reichel, J.

W. Hansel, P. Hommelhoff, T. W. Hansch, and J. Reichel, "Bose-Einstein condensation on a microelectronic chip," Nature 413, 498-501 (2001).
[CrossRef] [PubMed]

Reid, M. D.

M. D. Reid, W. J. Munro, and F. De Martini, "Violation of multiparticle Bell inequalities for low- and high-flux parametric amplification using both vacuum and entangled input states," Phys. Rev. A 66, 033801 (2002).
[CrossRef]

Roberts, J. S.

M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
[CrossRef]

Santos, M. F.

D. G. Angelakis, M. F. Santos, V. Yannopapas, and A. Ekert, "Quantum computation in photonic crystals," http://arxiv.org/abs/quant-ph 0410189 (2004).

D. G. Angelakis, M. F. Santos, S. Bose, and A. Ekert, "Mott transitions in coupled cavity arrays," http://arxiv.org.abs/quant-ph/06061159.

Scherer, A.

J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, "Design of photonic crystal microcavities for cavity QED," Phys. Rev. E 65, 016608 (2001).
[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide a proposal and analysis," Opt. Lett. 24, 711-713 (1999).
[CrossRef]

Sergienko, A. V.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, "New high-intensity source of polarization-entangled photon pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

Shi, S.

K. Hennessy, C. Reese, A. Badolato, C. F. Wang, A. Imamolu, P. M. Petroff, E. Hu, G. Jin, S. Shi, and D. W. Prather, "Square-lattice photonic crystal microcavities for coupling to single InAs quantum dots," Appl. Phys. Lett. 83, 3650-3652 (2003).
[CrossRef]

Shih, Y. H.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, "New high-intensity source of polarization-entangled photon pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

Skolnick, M. S.

M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
[CrossRef]

Smith, C. J. M.

C. J. M. Smith, H. Benisty, D. Labilloy, U. Oesterle, R. Houdre, T. F. Krauss, R. M. De La Rue, and C. Weisbuch, "Near-infrared microcavities confined by two-dimensional photonic bandgap crystals," Electron. Lett. 35, 228-229 (1999).
[CrossRef]

Soukoulis, C. M.

C. M. Soukoulis, Photonic Crystal and Light Localization in the 21st Century (Kluwer, 2001).

Spillane, S. M.

S. M. Spillane, T. J. Kippenberg, K. J. Vahala, K. W. Goh, E. Wilcut, and H. J. Kimble, "Ultrahigh-Q toroidal microresonators for cavity quantum electrodynamics," Phys. Rev. A 71, 013817 (2005).
[CrossRef]

Stefanou, N.

N. Stefanou and A. Modinos, "Impurity bands in photonic insulators," Phys. Rev. B 57, 12127-12133 (1998).
[CrossRef]

Stevenson, R. M.

M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
[CrossRef]

Vahala, K. J.

S. M. Spillane, T. J. Kippenberg, K. J. Vahala, K. W. Goh, E. Wilcut, and H. J. Kimble, "Ultrahigh-Q toroidal microresonators for cavity quantum electrodynamics," Phys. Rev. A 71, 013817 (2005).
[CrossRef]

Virgili, T.

M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
[CrossRef]

Vuckovic, J.

E. Waks and J. Vuckovic, "Dipole induced transparency in drop-filter cavity-waveguide systems," Phys. Rev. Lett. 96, 153601 (2006).
[CrossRef] [PubMed]

J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, "Design of photonic crystal microcavities for cavity QED," Phys. Rev. E 65, 016608 (2001).
[CrossRef]

D. Englund, A. Faraon, B. Zhang, Y. Yamamoto, and J. Vuckovic, "Generation and transfer of single photons on a photonic crystal chip," arXiv, quant-ph/0609053.

Waks, E.

E. Waks and J. Vuckovic, "Dipole induced transparency in drop-filter cavity-waveguide systems," Phys. Rev. Lett. 96, 153601 (2006).
[CrossRef] [PubMed]

Wang, C. F.

K. Hennessy, C. Reese, A. Badolato, C. F. Wang, A. Imamolu, P. M. Petroff, E. Hu, G. Jin, S. Shi, and D. W. Prather, "Square-lattice photonic crystal microcavities for coupling to single InAs quantum dots," Appl. Phys. Lett. 83, 3650-3652 (2003).
[CrossRef]

Weinfurter, H.

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eible, H. Weinfurter, and A. Zeilinger, "Experimental quantum teleportation," Nature 390, 575-579 (1997).
[CrossRef]

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, "New high-intensity source of polarization-entangled photon pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

Weisbuch, C.

C. J. M. Smith, H. Benisty, D. Labilloy, U. Oesterle, R. Houdre, T. F. Krauss, R. M. De La Rue, and C. Weisbuch, "Near-infrared microcavities confined by two-dimensional photonic bandgap crystals," Electron. Lett. 35, 228-229 (1999).
[CrossRef]

Whittaker, D. M.

M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
[CrossRef]

Wilcut, E.

S. M. Spillane, T. J. Kippenberg, K. J. Vahala, K. W. Goh, E. Wilcut, and H. J. Kimble, "Ultrahigh-Q toroidal microresonators for cavity quantum electrodynamics," Phys. Rev. A 71, 013817 (2005).
[CrossRef]

Xu, Y.

Yablonovitch, E.

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

Yamamoto, Y.

D. Englund, A. Faraon, B. Zhang, Y. Yamamoto, and J. Vuckovic, "Generation and transfer of single photons on a photonic crystal chip," arXiv, quant-ph/0609053.

Yannopapas, V.

D. G. Angelakis, M. F. Santos, V. Yannopapas, and A. Ekert, "Quantum computation in photonic crystals," http://arxiv.org/abs/quant-ph 0410189 (2004).

Yariv, A.

Zeilinger, A.

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eible, H. Weinfurter, and A. Zeilinger, "Experimental quantum teleportation," Nature 390, 575-579 (1997).
[CrossRef]

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, "New high-intensity source of polarization-entangled photon pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

Zhang, B.

D. Englund, A. Faraon, B. Zhang, Y. Yamamoto, and J. Vuckovic, "Generation and transfer of single photons on a photonic crystal chip," arXiv, quant-ph/0609053.

Zoller, P.

A. S. Parkins, P. Marte, P. Zoller, O. Carnal, and H. J. Kimble, "Quantum-state mapping between multilevel atoms and cavity light fields," Phys. Rev. A 51, 1578-1596 (1995).
[CrossRef] [PubMed]

Zukowski, M.

D. Kaszlikowski, L. C. Kwek, J.-L. Chen, M. Zukowski, and C. H. Oh, "Clauser-Horne inequality for three state systems," Phys. Rev. A 65, 032118 (2002).
[CrossRef]

Appl. Phys. Lett. (1)

K. Hennessy, C. Reese, A. Badolato, C. F. Wang, A. Imamolu, P. M. Petroff, E. Hu, G. Jin, S. Shi, and D. W. Prather, "Square-lattice photonic crystal microcavities for coupling to single InAs quantum dots," Appl. Phys. Lett. 83, 3650-3652 (2003).
[CrossRef]

Electron. Lett. (1)

C. J. M. Smith, H. Benisty, D. Labilloy, U. Oesterle, R. Houdre, T. F. Krauss, R. M. De La Rue, and C. Weisbuch, "Near-infrared microcavities confined by two-dimensional photonic bandgap crystals," Electron. Lett. 35, 228-229 (1999).
[CrossRef]

J. Lumin. (1)

M. S. Skolnick, V. N. Astratov, D. M. Whittaker, A. Armitage, M. Emam-Ismail, R. M. Stevenson, J. J. Baumberg, J. S. Roberts, D. G. Lidzey, T. Virgili, and D. C. C. Bradley, "Exciton polaritons in single and coupled microcavities," J. Lumin. 87, 25-29 (2000).
[CrossRef]

Nature (2)

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eible, H. Weinfurter, and A. Zeilinger, "Experimental quantum teleportation," Nature 390, 575-579 (1997).
[CrossRef]

W. Hansel, P. Hommelhoff, T. W. Hansch, and J. Reichel, "Bose-Einstein condensation on a microelectronic chip," Nature 413, 498-501 (2001).
[CrossRef] [PubMed]

Opt. Lett. (1)

Phys. Rev. A (4)

M. D. Reid, W. J. Munro, and F. De Martini, "Violation of multiparticle Bell inequalities for low- and high-flux parametric amplification using both vacuum and entangled input states," Phys. Rev. A 66, 033801 (2002).
[CrossRef]

S. M. Spillane, T. J. Kippenberg, K. J. Vahala, K. W. Goh, E. Wilcut, and H. J. Kimble, "Ultrahigh-Q toroidal microresonators for cavity quantum electrodynamics," Phys. Rev. A 71, 013817 (2005).
[CrossRef]

A. S. Parkins, P. Marte, P. Zoller, O. Carnal, and H. J. Kimble, "Quantum-state mapping between multilevel atoms and cavity light fields," Phys. Rev. A 51, 1578-1596 (1995).
[CrossRef] [PubMed]

D. Kaszlikowski, L. C. Kwek, J.-L. Chen, M. Zukowski, and C. H. Oh, "Clauser-Horne inequality for three state systems," Phys. Rev. A 65, 032118 (2002).
[CrossRef]

Phys. Rev. B (1)

N. Stefanou and A. Modinos, "Impurity bands in photonic insulators," Phys. Rev. B 57, 12127-12133 (1998).
[CrossRef]

Phys. Rev. E (1)

J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, "Design of photonic crystal microcavities for cavity QED," Phys. Rev. E 65, 016608 (2001).
[CrossRef]

Phys. Rev. Lett. (9)

A. K. Ekert, "Quantum cryptography based on Bells theorem," Phys. Rev. Lett. 67, 661-663 (1991).
[CrossRef] [PubMed]

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. H. Shih, "New high-intensity source of polarization-entangled photon pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

S. L. Braunstein and H. J. Kimble, "Teleportation of continuous quantum variables," Phys. Rev. Lett. 80, 869-872 (1998).
[CrossRef]

J. C. Howell, A. Lamas-Linares, and D. Bouwmeester, "Experimental violation of a spin-1 Bell inequality using maximally entangled four-photon states," Phys. Rev. Lett. 88, 030401 (2002).
[CrossRef] [PubMed]

P. D. Drummond, "Violations of Bell's inequality in cooperative states," Phys. Rev. Lett. 50, 1407-1410 (1983).
[CrossRef]

D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, "Bell inequalities for arbitrarily high-dimensional systems," Phys. Rev. Lett. 88, 040404 (2002).
[CrossRef] [PubMed]

E. Waks and J. Vuckovic, "Dipole induced transparency in drop-filter cavity-waveguide systems," Phys. Rev. Lett. 96, 153601 (2006).
[CrossRef] [PubMed]

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

Other (5)

C. M. Soukoulis, Photonic Crystal and Light Localization in the 21st Century (Kluwer, 2001).

D. G. Angelakis, M. F. Santos, V. Yannopapas, and A. Ekert, "Quantum computation in photonic crystals," http://arxiv.org/abs/quant-ph 0410189 (2004).

D. G. Angelakis, M. F. Santos, S. Bose, and A. Ekert, "Mott transitions in coupled cavity arrays," http://arxiv.org.abs/quant-ph/06061159.

D. Englund, A. Faraon, B. Zhang, Y. Yamamoto, and J. Vuckovic, "Generation and transfer of single photons on a photonic crystal chip," arXiv, quant-ph/0609053.

C. H. Bennett and G. Brassard, "Quantum cryptography: public key distribution and coin tossing," in Proceedings of IEEE International Conference on Computers Systems and Signal Processing, (IEEE, 1984), pp. 175-179.

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Figures (2)

Fig. 1
Fig. 1

Coupled doped cavities in PBG crystals. The cavities support modes a and b of light of the same frequency. These modes are coupled owing to hopping of photons between the cavities. The cavities are doped with dopants A and B, whose level configuration is shown in the bottom of the diagram. Mappings of the form g k 0 g 0 k are possible through the application of external fields using adiabatic passage techniques (Ref. [15]).

Fig. 2
Fig. 2

Time dependence of the amplitudes assuming initially the system was at 2 a 2 b .

Equations (10)

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

H = a b + a b .
g r n g r k n + k .
a a cos t + i b sin t ,
b b cos t + i a sin t .
ψ ( t ) a b = cos t 1 a 1 b + i sin t 2 ( 2 a 0 b + 0 a 2 b ) .
ϕ ( t ) a b = c 22 2 a 2 b + c 31 3 a 1 b + c 13 1 a 3 b + c 40 4 a 0 b + c 04 0 a 4 b ,
ϕ ( t ) a b = ( 1 2 ) [ 2 ( 1 3 sin 2 2 t 2 ) 2 a 2 b 6 sin 2 2 t 2 ( 4 a 0 b + 0 a 4 b ) + i 6 sin 2 t cos 2 t ( 1 a 3 b + 3 a 1 b ) ] ,
ϕ E a b = 1 3 ( 3 a 1 b + 1 a 3 b ) + 1 6 4 a 0 b + c 04 0 a 4 b .
c 22 2 a 2 b + c 31 3 a 1 b + c 13 1 a 3 b + c 40 4 a 0 b + c 04 0 a 4 b
c 22 g 2 A g 2 B + c 31 g 3 A g 1 B + c 13 g 1 A g 3 B + c 40 g 4 A g 0 B + c 04 g 0 A g 4 B .

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