Abstract

A robust and scalable scheme for generating atom–photon and atom–atom entangled W states is proposed by using the interference effect of the polarized photons leaking out of the spatially separated cavities. Each of the atoms is trapped separately in a remote optical cavity, and the possible spontaneous channels induced by the excited atoms lead to the coherent superposition between atoms and photon, which is an important step toward long-distance and long-range quantum networking with individual atoms. The scalability is ensured in the sense that an arbitrarily large multiqubit atom–photon and atom–atom entangled W state can be generated with certain success probabilities.

© 2012 Optical Society of America

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  1. B. B. Blinov, D. L. Moehring, L. M. Duan, and C. Monroe, “Schemes for generating W state of paths and W state of polarization photons,” Nature 428, 153–157 (2004).
    [CrossRef]
  2. J. F. Sherson, H. Krauter, R. K. Olsson, B. Julsgaard, K. Hammerer, I. Cirac, and E. S. Polzik, “Quantum teleportation between light and matter,” Nature 443, 557–560 (2006).
    [CrossRef]
  3. H. J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters: the role of imperfect local operations in quantum communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
    [CrossRef]
  4. S. J. Freedman and J. F. Clauser, “Experimental test of local hidden-variable theories,” Phys. Rev. Lett. 28, 938–941 (1972).
    [CrossRef]
  5. A. Aspect, P. Grangier, and G. Roger, “Experimental realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: a new violation of Bell’s inequalities,” Phys. Rev. Lett. 49, 91–94 (1982).
    [CrossRef]
  6. U. Eichmann, J. C. Bergquist, J. J. Bollinger, J. M. Gilligan, W. M. Itano, D. J. Wineland, and M. G. Raizen, “Young’s interference experiment with light scattered from two atoms,” Phys. Rev. Lett. 70, 2359–2362 (1993).
    [CrossRef]
  7. R. G. DeVoe and R. G. Brewer, “Observation of superradiant and subradiant spontaneous emission of two trapped ions,” Phys. Rev. Lett. 76, 2049–2052 (1996).
    [CrossRef]
  8. D. N. Matsukevich, T. Chanelière, M. Bhattacharya, S. Y. Lan, S. D. Jenkins, T. A. B. Kennedy, and A. Kuzmich, “Entanglement of a photon and a collective atomic excitation,” Phys. Rev. Lett. 95, 040405 (2005).
    [CrossRef]
  9. M. Amniat-Talab, S. Guèrin, N. Sangouard, and H. R. Jauslin, “Atom-photon, atom-atom, and photon-photon entanglement preparation by fractional adiabatic passage,” Phys. Rev. A 71, 023805 (2005).
    [CrossRef]
  10. J. Volz, M. Weber, D. Schlenk, W. Rosenfeld, J. Vrana, K. Saucke, C. Kurtsiefer, and H. Weinfurter, “Observation of entanglement of a single photon with a trapped atom,” Phys. Rev. Lett. 96, 030404 (2006).
    [CrossRef]
  11. S. Chen, Y. A. Chen, B. Zhao, Z. S. Yuan, J. Schmiedmayer, and J. W. Pan, “Demonstration of a stable atom-photon entanglement source for quantum repeaters,” Phys. Rev. Lett. 99, 180505 (2007).
    [CrossRef]
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    [CrossRef]
  13. L. M. Duan, M. D. Lukin, J. Cirac, and P. Zoller, “Long-distance quantum communication with atomic ensembles and linear optics,” Nature 414, 413–418 (2001).
    [CrossRef]
  14. C. Cabrillo, J. I. Cirac, P. Garcia-Fernandez, and P. Zoller, “Creation of entangled states of distant atoms by interference,” Phys. Rev. A 59, 1025–1033 (1999).
    [CrossRef]
  15. X. L. Feng, Z. M. Zhang, X. D. Li, S. Q. Gong, and Z. Z. Xu, “Entangling distant atoms by interference of polarized photons,” Phys. Rev. Lett. 90, 217902 (2003).
    [CrossRef]
  16. C. S. Yu, X. X. Yi, H. S. Song, and D. Mei, “Robust preparation of Greenberger-Horne-Zeilinger and W states of three distant atoms,” Phys. Rev. A 75, 044301 (2007).
    [CrossRef]
  17. J. Hong and H. W. Lee, “Quasideterministic generation of entangled atoms in a cavity,” Phys. Rev. Lett. 89, 237901 (2002).
    [CrossRef]
  18. C. Simon and W. T. M. Irvine, “Robust long-distance entanglement and a loophole-free Bell test with ions and photons,” Phys. Rev. Lett. 91, 110405 (2003).
    [CrossRef]
  19. W. Lange and H. J. Kimble, “Dynamic generation of maximally entangled photon multiplets by adiabatic passage,” Phys. Rev. A 61, 063817 (2000).
    [CrossRef]
  20. L. M. Duan and H. J. Kimble, “Efficient engineering of multiatom entanglement through single-photon detections,” Phys. Rev. Lett. 90, 253601 (2003).
    [CrossRef]
  21. D. E. Browne, M. B. Plenio, and S. F. Huelga, “Robust creation of entanglement between ions in spatially separate cavities,” Phys. Rev. Lett. 91, 067901 (2003).
    [CrossRef]
  22. D. L. Moehring, P. Maunz, S. Olmschenk, K. C. Younge, D. N. Matsukevich, L. M. Duan, and C. Monroe, “Entanglement of single-atom quantum bits at a distance,” Nature 449, 68–71 (2007).
    [CrossRef]
  23. C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. van Enk, and H. J. Kimble, “Measurement-induced entanglement for excitation stored in remote atomic ensembles,” Nature 438, 828–832 (2005).
    [CrossRef]
  24. A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
    [CrossRef]
  25. F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
    [CrossRef]
  26. J. W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter, and A. Zeilinger, “Experimental test of quantum nonlocality in three-photon Greenberge-Horne-Zeilinger entanglement,” Nature 403, 515–519 (2000).
    [CrossRef]
  27. M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental realization of a three-qubit entangled W state,” Phys. Rev. Lett. 92, 077901 (2004).
    [CrossRef]

2008

W. Rosenfeld, F. Hocke, F. Henkel, M. Krug, J. Volz, M. Weber, and H. Weinfurter, “Towards long-distance atom-photon entanglement,” Phys. Rev. Lett. 101, 260403 (2008).
[CrossRef]

2007

S. Chen, Y. A. Chen, B. Zhao, Z. S. Yuan, J. Schmiedmayer, and J. W. Pan, “Demonstration of a stable atom-photon entanglement source for quantum repeaters,” Phys. Rev. Lett. 99, 180505 (2007).
[CrossRef]

C. S. Yu, X. X. Yi, H. S. Song, and D. Mei, “Robust preparation of Greenberger-Horne-Zeilinger and W states of three distant atoms,” Phys. Rev. A 75, 044301 (2007).
[CrossRef]

D. L. Moehring, P. Maunz, S. Olmschenk, K. C. Younge, D. N. Matsukevich, L. M. Duan, and C. Monroe, “Entanglement of single-atom quantum bits at a distance,” Nature 449, 68–71 (2007).
[CrossRef]

2006

J. Volz, M. Weber, D. Schlenk, W. Rosenfeld, J. Vrana, K. Saucke, C. Kurtsiefer, and H. Weinfurter, “Observation of entanglement of a single photon with a trapped atom,” Phys. Rev. Lett. 96, 030404 (2006).
[CrossRef]

J. F. Sherson, H. Krauter, R. K. Olsson, B. Julsgaard, K. Hammerer, I. Cirac, and E. S. Polzik, “Quantum teleportation between light and matter,” Nature 443, 557–560 (2006).
[CrossRef]

2005

D. N. Matsukevich, T. Chanelière, M. Bhattacharya, S. Y. Lan, S. D. Jenkins, T. A. B. Kennedy, and A. Kuzmich, “Entanglement of a photon and a collective atomic excitation,” Phys. Rev. Lett. 95, 040405 (2005).
[CrossRef]

M. Amniat-Talab, S. Guèrin, N. Sangouard, and H. R. Jauslin, “Atom-photon, atom-atom, and photon-photon entanglement preparation by fractional adiabatic passage,” Phys. Rev. A 71, 023805 (2005).
[CrossRef]

C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. van Enk, and H. J. Kimble, “Measurement-induced entanglement for excitation stored in remote atomic ensembles,” Nature 438, 828–832 (2005).
[CrossRef]

2004

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental realization of a three-qubit entangled W state,” Phys. Rev. Lett. 92, 077901 (2004).
[CrossRef]

B. B. Blinov, D. L. Moehring, L. M. Duan, and C. Monroe, “Schemes for generating W state of paths and W state of polarization photons,” Nature 428, 153–157 (2004).
[CrossRef]

2003

C. Simon and W. T. M. Irvine, “Robust long-distance entanglement and a loophole-free Bell test with ions and photons,” Phys. Rev. Lett. 91, 110405 (2003).
[CrossRef]

X. L. Feng, Z. M. Zhang, X. D. Li, S. Q. Gong, and Z. Z. Xu, “Entangling distant atoms by interference of polarized photons,” Phys. Rev. Lett. 90, 217902 (2003).
[CrossRef]

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

L. M. Duan and H. J. Kimble, “Efficient engineering of multiatom entanglement through single-photon detections,” Phys. Rev. Lett. 90, 253601 (2003).
[CrossRef]

D. E. Browne, M. B. Plenio, and S. F. Huelga, “Robust creation of entanglement between ions in spatially separate cavities,” Phys. Rev. Lett. 91, 067901 (2003).
[CrossRef]

2002

A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
[CrossRef]

J. Hong and H. W. Lee, “Quasideterministic generation of entangled atoms in a cavity,” Phys. Rev. Lett. 89, 237901 (2002).
[CrossRef]

2001

L. M. Duan, M. D. Lukin, J. Cirac, and P. Zoller, “Long-distance quantum communication with atomic ensembles and linear optics,” Nature 414, 413–418 (2001).
[CrossRef]

2000

W. Lange and H. J. Kimble, “Dynamic generation of maximally entangled photon multiplets by adiabatic passage,” Phys. Rev. A 61, 063817 (2000).
[CrossRef]

J. W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter, and A. Zeilinger, “Experimental test of quantum nonlocality in three-photon Greenberge-Horne-Zeilinger entanglement,” Nature 403, 515–519 (2000).
[CrossRef]

1999

C. Cabrillo, J. I. Cirac, P. Garcia-Fernandez, and P. Zoller, “Creation of entangled states of distant atoms by interference,” Phys. Rev. A 59, 1025–1033 (1999).
[CrossRef]

1998

H. J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters: the role of imperfect local operations in quantum communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
[CrossRef]

1996

R. G. DeVoe and R. G. Brewer, “Observation of superradiant and subradiant spontaneous emission of two trapped ions,” Phys. Rev. Lett. 76, 2049–2052 (1996).
[CrossRef]

1993

U. Eichmann, J. C. Bergquist, J. J. Bollinger, J. M. Gilligan, W. M. Itano, D. J. Wineland, and M. G. Raizen, “Young’s interference experiment with light scattered from two atoms,” Phys. Rev. Lett. 70, 2359–2362 (1993).
[CrossRef]

1982

A. Aspect, P. Grangier, and G. Roger, “Experimental realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: a new violation of Bell’s inequalities,” Phys. Rev. Lett. 49, 91–94 (1982).
[CrossRef]

1972

S. J. Freedman and J. F. Clauser, “Experimental test of local hidden-variable theories,” Phys. Rev. Lett. 28, 938–941 (1972).
[CrossRef]

Amniat-Talab, M.

M. Amniat-Talab, S. Guèrin, N. Sangouard, and H. R. Jauslin, “Atom-photon, atom-atom, and photon-photon entanglement preparation by fractional adiabatic passage,” Phys. Rev. A 71, 023805 (2005).
[CrossRef]

Aspect, A.

A. Aspect, P. Grangier, and G. Roger, “Experimental realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: a new violation of Bell’s inequalities,” Phys. Rev. Lett. 49, 91–94 (1982).
[CrossRef]

Becher, C.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
[CrossRef]

Bergquist, J. C.

U. Eichmann, J. C. Bergquist, J. J. Bollinger, J. M. Gilligan, W. M. Itano, D. J. Wineland, and M. G. Raizen, “Young’s interference experiment with light scattered from two atoms,” Phys. Rev. Lett. 70, 2359–2362 (1993).
[CrossRef]

Bhattacharya, M.

D. N. Matsukevich, T. Chanelière, M. Bhattacharya, S. Y. Lan, S. D. Jenkins, T. A. B. Kennedy, and A. Kuzmich, “Entanglement of a photon and a collective atomic excitation,” Phys. Rev. Lett. 95, 040405 (2005).
[CrossRef]

Blatt, R.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
[CrossRef]

Blinov, B. B.

B. B. Blinov, D. L. Moehring, L. M. Duan, and C. Monroe, “Schemes for generating W state of paths and W state of polarization photons,” Nature 428, 153–157 (2004).
[CrossRef]

Bollinger, J. J.

U. Eichmann, J. C. Bergquist, J. J. Bollinger, J. M. Gilligan, W. M. Itano, D. J. Wineland, and M. G. Raizen, “Young’s interference experiment with light scattered from two atoms,” Phys. Rev. Lett. 70, 2359–2362 (1993).
[CrossRef]

Bourennane, M.

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental realization of a three-qubit entangled W state,” Phys. Rev. Lett. 92, 077901 (2004).
[CrossRef]

Bouwmeester, D.

J. W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter, and A. Zeilinger, “Experimental test of quantum nonlocality in three-photon Greenberge-Horne-Zeilinger entanglement,” Nature 403, 515–519 (2000).
[CrossRef]

Brewer, R. G.

R. G. DeVoe and R. G. Brewer, “Observation of superradiant and subradiant spontaneous emission of two trapped ions,” Phys. Rev. Lett. 76, 2049–2052 (1996).
[CrossRef]

Briegel, H. J.

H. J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters: the role of imperfect local operations in quantum communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
[CrossRef]

Browne, D. E.

D. E. Browne, M. B. Plenio, and S. F. Huelga, “Robust creation of entanglement between ions in spatially separate cavities,” Phys. Rev. Lett. 91, 067901 (2003).
[CrossRef]

Cabrillo, C.

C. Cabrillo, J. I. Cirac, P. Garcia-Fernandez, and P. Zoller, “Creation of entangled states of distant atoms by interference,” Phys. Rev. A 59, 1025–1033 (1999).
[CrossRef]

Chanelière, T.

D. N. Matsukevich, T. Chanelière, M. Bhattacharya, S. Y. Lan, S. D. Jenkins, T. A. B. Kennedy, and A. Kuzmich, “Entanglement of a photon and a collective atomic excitation,” Phys. Rev. Lett. 95, 040405 (2005).
[CrossRef]

Chen, S.

S. Chen, Y. A. Chen, B. Zhao, Z. S. Yuan, J. Schmiedmayer, and J. W. Pan, “Demonstration of a stable atom-photon entanglement source for quantum repeaters,” Phys. Rev. Lett. 99, 180505 (2007).
[CrossRef]

Chen, Y. A.

S. Chen, Y. A. Chen, B. Zhao, Z. S. Yuan, J. Schmiedmayer, and J. W. Pan, “Demonstration of a stable atom-photon entanglement source for quantum repeaters,” Phys. Rev. Lett. 99, 180505 (2007).
[CrossRef]

Chou, C. W.

C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. van Enk, and H. J. Kimble, “Measurement-induced entanglement for excitation stored in remote atomic ensembles,” Nature 438, 828–832 (2005).
[CrossRef]

Cirac, I.

J. F. Sherson, H. Krauter, R. K. Olsson, B. Julsgaard, K. Hammerer, I. Cirac, and E. S. Polzik, “Quantum teleportation between light and matter,” Nature 443, 557–560 (2006).
[CrossRef]

Cirac, J.

L. M. Duan, M. D. Lukin, J. Cirac, and P. Zoller, “Long-distance quantum communication with atomic ensembles and linear optics,” Nature 414, 413–418 (2001).
[CrossRef]

Cirac, J. I.

C. Cabrillo, J. I. Cirac, P. Garcia-Fernandez, and P. Zoller, “Creation of entangled states of distant atoms by interference,” Phys. Rev. A 59, 1025–1033 (1999).
[CrossRef]

H. J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters: the role of imperfect local operations in quantum communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
[CrossRef]

Clauser, J. F.

S. J. Freedman and J. F. Clauser, “Experimental test of local hidden-variable theories,” Phys. Rev. Lett. 28, 938–941 (1972).
[CrossRef]

Daniell, M.

J. W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter, and A. Zeilinger, “Experimental test of quantum nonlocality in three-photon Greenberge-Horne-Zeilinger entanglement,” Nature 403, 515–519 (2000).
[CrossRef]

de Riedmatten, H.

C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. van Enk, and H. J. Kimble, “Measurement-induced entanglement for excitation stored in remote atomic ensembles,” Nature 438, 828–832 (2005).
[CrossRef]

Deuschle, T.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

DeVoe, R. G.

R. G. DeVoe and R. G. Brewer, “Observation of superradiant and subradiant spontaneous emission of two trapped ions,” Phys. Rev. Lett. 76, 2049–2052 (1996).
[CrossRef]

Duan, L. M.

D. L. Moehring, P. Maunz, S. Olmschenk, K. C. Younge, D. N. Matsukevich, L. M. Duan, and C. Monroe, “Entanglement of single-atom quantum bits at a distance,” Nature 449, 68–71 (2007).
[CrossRef]

B. B. Blinov, D. L. Moehring, L. M. Duan, and C. Monroe, “Schemes for generating W state of paths and W state of polarization photons,” Nature 428, 153–157 (2004).
[CrossRef]

L. M. Duan and H. J. Kimble, “Efficient engineering of multiatom entanglement through single-photon detections,” Phys. Rev. Lett. 90, 253601 (2003).
[CrossRef]

L. M. Duan, M. D. Lukin, J. Cirac, and P. Zoller, “Long-distance quantum communication with atomic ensembles and linear optics,” Nature 414, 413–418 (2001).
[CrossRef]

Dür, W.

H. J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters: the role of imperfect local operations in quantum communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
[CrossRef]

Eibl, M.

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental realization of a three-qubit entangled W state,” Phys. Rev. Lett. 92, 077901 (2004).
[CrossRef]

Eichmann, U.

U. Eichmann, J. C. Bergquist, J. J. Bollinger, J. M. Gilligan, W. M. Itano, D. J. Wineland, and M. G. Raizen, “Young’s interference experiment with light scattered from two atoms,” Phys. Rev. Lett. 70, 2359–2362 (1993).
[CrossRef]

Eschner, J.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
[CrossRef]

Felinto, D.

C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. van Enk, and H. J. Kimble, “Measurement-induced entanglement for excitation stored in remote atomic ensembles,” Nature 438, 828–832 (2005).
[CrossRef]

Feng, X. L.

X. L. Feng, Z. M. Zhang, X. D. Li, S. Q. Gong, and Z. Z. Xu, “Entangling distant atoms by interference of polarized photons,” Phys. Rev. Lett. 90, 217902 (2003).
[CrossRef]

Freedman, S. J.

S. J. Freedman and J. F. Clauser, “Experimental test of local hidden-variable theories,” Phys. Rev. Lett. 28, 938–941 (1972).
[CrossRef]

Garcia-Fernandez, P.

C. Cabrillo, J. I. Cirac, P. Garcia-Fernandez, and P. Zoller, “Creation of entangled states of distant atoms by interference,” Phys. Rev. A 59, 1025–1033 (1999).
[CrossRef]

Gilligan, J. M.

U. Eichmann, J. C. Bergquist, J. J. Bollinger, J. M. Gilligan, W. M. Itano, D. J. Wineland, and M. G. Raizen, “Young’s interference experiment with light scattered from two atoms,” Phys. Rev. Lett. 70, 2359–2362 (1993).
[CrossRef]

Gong, S. Q.

X. L. Feng, Z. M. Zhang, X. D. Li, S. Q. Gong, and Z. Z. Xu, “Entangling distant atoms by interference of polarized photons,” Phys. Rev. Lett. 90, 217902 (2003).
[CrossRef]

Grangier, P.

A. Aspect, P. Grangier, and G. Roger, “Experimental realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: a new violation of Bell’s inequalities,” Phys. Rev. Lett. 49, 91–94 (1982).
[CrossRef]

Guèrin, S.

M. Amniat-Talab, S. Guèrin, N. Sangouard, and H. R. Jauslin, “Atom-photon, atom-atom, and photon-photon entanglement preparation by fractional adiabatic passage,” Phys. Rev. A 71, 023805 (2005).
[CrossRef]

Gulde, S.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Häffner, H.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Hammerer, K.

J. F. Sherson, H. Krauter, R. K. Olsson, B. Julsgaard, K. Hammerer, I. Cirac, and E. S. Polzik, “Quantum teleportation between light and matter,” Nature 443, 557–560 (2006).
[CrossRef]

Henkel, F.

W. Rosenfeld, F. Hocke, F. Henkel, M. Krug, J. Volz, M. Weber, and H. Weinfurter, “Towards long-distance atom-photon entanglement,” Phys. Rev. Lett. 101, 260403 (2008).
[CrossRef]

Hocke, F.

W. Rosenfeld, F. Hocke, F. Henkel, M. Krug, J. Volz, M. Weber, and H. Weinfurter, “Towards long-distance atom-photon entanglement,” Phys. Rev. Lett. 101, 260403 (2008).
[CrossRef]

Hong, J.

J. Hong and H. W. Lee, “Quasideterministic generation of entangled atoms in a cavity,” Phys. Rev. Lett. 89, 237901 (2002).
[CrossRef]

Huelga, S. F.

D. E. Browne, M. B. Plenio, and S. F. Huelga, “Robust creation of entanglement between ions in spatially separate cavities,” Phys. Rev. Lett. 91, 067901 (2003).
[CrossRef]

Irvine, W. T. M.

C. Simon and W. T. M. Irvine, “Robust long-distance entanglement and a loophole-free Bell test with ions and photons,” Phys. Rev. Lett. 91, 110405 (2003).
[CrossRef]

Itano, W. M.

U. Eichmann, J. C. Bergquist, J. J. Bollinger, J. M. Gilligan, W. M. Itano, D. J. Wineland, and M. G. Raizen, “Young’s interference experiment with light scattered from two atoms,” Phys. Rev. Lett. 70, 2359–2362 (1993).
[CrossRef]

Jauslin, H. R.

M. Amniat-Talab, S. Guèrin, N. Sangouard, and H. R. Jauslin, “Atom-photon, atom-atom, and photon-photon entanglement preparation by fractional adiabatic passage,” Phys. Rev. A 71, 023805 (2005).
[CrossRef]

Jenkins, S. D.

D. N. Matsukevich, T. Chanelière, M. Bhattacharya, S. Y. Lan, S. D. Jenkins, T. A. B. Kennedy, and A. Kuzmich, “Entanglement of a photon and a collective atomic excitation,” Phys. Rev. Lett. 95, 040405 (2005).
[CrossRef]

Julsgaard, B.

J. F. Sherson, H. Krauter, R. K. Olsson, B. Julsgaard, K. Hammerer, I. Cirac, and E. S. Polzik, “Quantum teleportation between light and matter,” Nature 443, 557–560 (2006).
[CrossRef]

Kennedy, T. A. B.

D. N. Matsukevich, T. Chanelière, M. Bhattacharya, S. Y. Lan, S. D. Jenkins, T. A. B. Kennedy, and A. Kuzmich, “Entanglement of a photon and a collective atomic excitation,” Phys. Rev. Lett. 95, 040405 (2005).
[CrossRef]

Kiesel, N.

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental realization of a three-qubit entangled W state,” Phys. Rev. Lett. 92, 077901 (2004).
[CrossRef]

Kimble, H. J.

C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. van Enk, and H. J. Kimble, “Measurement-induced entanglement for excitation stored in remote atomic ensembles,” Nature 438, 828–832 (2005).
[CrossRef]

L. M. Duan and H. J. Kimble, “Efficient engineering of multiatom entanglement through single-photon detections,” Phys. Rev. Lett. 90, 253601 (2003).
[CrossRef]

W. Lange and H. J. Kimble, “Dynamic generation of maximally entangled photon multiplets by adiabatic passage,” Phys. Rev. A 61, 063817 (2000).
[CrossRef]

Krauter, H.

J. F. Sherson, H. Krauter, R. K. Olsson, B. Julsgaard, K. Hammerer, I. Cirac, and E. S. Polzik, “Quantum teleportation between light and matter,” Nature 443, 557–560 (2006).
[CrossRef]

Kreuter, A.

A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
[CrossRef]

Krug, M.

W. Rosenfeld, F. Hocke, F. Henkel, M. Krug, J. Volz, M. Weber, and H. Weinfurter, “Towards long-distance atom-photon entanglement,” Phys. Rev. Lett. 101, 260403 (2008).
[CrossRef]

Kurtsiefer, C.

J. Volz, M. Weber, D. Schlenk, W. Rosenfeld, J. Vrana, K. Saucke, C. Kurtsiefer, and H. Weinfurter, “Observation of entanglement of a single photon with a trapped atom,” Phys. Rev. Lett. 96, 030404 (2006).
[CrossRef]

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental realization of a three-qubit entangled W state,” Phys. Rev. Lett. 92, 077901 (2004).
[CrossRef]

Kuzmich, A.

D. N. Matsukevich, T. Chanelière, M. Bhattacharya, S. Y. Lan, S. D. Jenkins, T. A. B. Kennedy, and A. Kuzmich, “Entanglement of a photon and a collective atomic excitation,” Phys. Rev. Lett. 95, 040405 (2005).
[CrossRef]

Lan, S. Y.

D. N. Matsukevich, T. Chanelière, M. Bhattacharya, S. Y. Lan, S. D. Jenkins, T. A. B. Kennedy, and A. Kuzmich, “Entanglement of a photon and a collective atomic excitation,” Phys. Rev. Lett. 95, 040405 (2005).
[CrossRef]

Lancaster, G. P. T.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Lange, W.

W. Lange and H. J. Kimble, “Dynamic generation of maximally entangled photon multiplets by adiabatic passage,” Phys. Rev. A 61, 063817 (2000).
[CrossRef]

Lee, H. W.

J. Hong and H. W. Lee, “Quasideterministic generation of entangled atoms in a cavity,” Phys. Rev. Lett. 89, 237901 (2002).
[CrossRef]

Leibfried, D.

A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
[CrossRef]

Li, X. D.

X. L. Feng, Z. M. Zhang, X. D. Li, S. Q. Gong, and Z. Z. Xu, “Entangling distant atoms by interference of polarized photons,” Phys. Rev. Lett. 90, 217902 (2003).
[CrossRef]

Lukin, M. D.

L. M. Duan, M. D. Lukin, J. Cirac, and P. Zoller, “Long-distance quantum communication with atomic ensembles and linear optics,” Nature 414, 413–418 (2001).
[CrossRef]

Matsukevich, D. N.

D. L. Moehring, P. Maunz, S. Olmschenk, K. C. Younge, D. N. Matsukevich, L. M. Duan, and C. Monroe, “Entanglement of single-atom quantum bits at a distance,” Nature 449, 68–71 (2007).
[CrossRef]

D. N. Matsukevich, T. Chanelière, M. Bhattacharya, S. Y. Lan, S. D. Jenkins, T. A. B. Kennedy, and A. Kuzmich, “Entanglement of a photon and a collective atomic excitation,” Phys. Rev. Lett. 95, 040405 (2005).
[CrossRef]

Maunz, P.

D. L. Moehring, P. Maunz, S. Olmschenk, K. C. Younge, D. N. Matsukevich, L. M. Duan, and C. Monroe, “Entanglement of single-atom quantum bits at a distance,” Nature 449, 68–71 (2007).
[CrossRef]

Mei, D.

C. S. Yu, X. X. Yi, H. S. Song, and D. Mei, “Robust preparation of Greenberger-Horne-Zeilinger and W states of three distant atoms,” Phys. Rev. A 75, 044301 (2007).
[CrossRef]

Moehring, D. L.

D. L. Moehring, P. Maunz, S. Olmschenk, K. C. Younge, D. N. Matsukevich, L. M. Duan, and C. Monroe, “Entanglement of single-atom quantum bits at a distance,” Nature 449, 68–71 (2007).
[CrossRef]

B. B. Blinov, D. L. Moehring, L. M. Duan, and C. Monroe, “Schemes for generating W state of paths and W state of polarization photons,” Nature 428, 153–157 (2004).
[CrossRef]

Monroe, C.

D. L. Moehring, P. Maunz, S. Olmschenk, K. C. Younge, D. N. Matsukevich, L. M. Duan, and C. Monroe, “Entanglement of single-atom quantum bits at a distance,” Nature 449, 68–71 (2007).
[CrossRef]

B. B. Blinov, D. L. Moehring, L. M. Duan, and C. Monroe, “Schemes for generating W state of paths and W state of polarization photons,” Nature 428, 153–157 (2004).
[CrossRef]

Mundt, A. B.

A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
[CrossRef]

Olmschenk, S.

D. L. Moehring, P. Maunz, S. Olmschenk, K. C. Younge, D. N. Matsukevich, L. M. Duan, and C. Monroe, “Entanglement of single-atom quantum bits at a distance,” Nature 449, 68–71 (2007).
[CrossRef]

Olsson, R. K.

J. F. Sherson, H. Krauter, R. K. Olsson, B. Julsgaard, K. Hammerer, I. Cirac, and E. S. Polzik, “Quantum teleportation between light and matter,” Nature 443, 557–560 (2006).
[CrossRef]

Pan, J. W.

S. Chen, Y. A. Chen, B. Zhao, Z. S. Yuan, J. Schmiedmayer, and J. W. Pan, “Demonstration of a stable atom-photon entanglement source for quantum repeaters,” Phys. Rev. Lett. 99, 180505 (2007).
[CrossRef]

J. W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter, and A. Zeilinger, “Experimental test of quantum nonlocality in three-photon Greenberge-Horne-Zeilinger entanglement,” Nature 403, 515–519 (2000).
[CrossRef]

Plenio, M. B.

D. E. Browne, M. B. Plenio, and S. F. Huelga, “Robust creation of entanglement between ions in spatially separate cavities,” Phys. Rev. Lett. 91, 067901 (2003).
[CrossRef]

Polyakov, S. V.

C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. van Enk, and H. J. Kimble, “Measurement-induced entanglement for excitation stored in remote atomic ensembles,” Nature 438, 828–832 (2005).
[CrossRef]

Polzik, E. S.

J. F. Sherson, H. Krauter, R. K. Olsson, B. Julsgaard, K. Hammerer, I. Cirac, and E. S. Polzik, “Quantum teleportation between light and matter,” Nature 443, 557–560 (2006).
[CrossRef]

Raizen, M. G.

U. Eichmann, J. C. Bergquist, J. J. Bollinger, J. M. Gilligan, W. M. Itano, D. J. Wineland, and M. G. Raizen, “Young’s interference experiment with light scattered from two atoms,” Phys. Rev. Lett. 70, 2359–2362 (1993).
[CrossRef]

Riebe, M.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Roger, G.

A. Aspect, P. Grangier, and G. Roger, “Experimental realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: a new violation of Bell’s inequalities,” Phys. Rev. Lett. 49, 91–94 (1982).
[CrossRef]

Roos, C. F.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Rosenfeld, W.

W. Rosenfeld, F. Hocke, F. Henkel, M. Krug, J. Volz, M. Weber, and H. Weinfurter, “Towards long-distance atom-photon entanglement,” Phys. Rev. Lett. 101, 260403 (2008).
[CrossRef]

J. Volz, M. Weber, D. Schlenk, W. Rosenfeld, J. Vrana, K. Saucke, C. Kurtsiefer, and H. Weinfurter, “Observation of entanglement of a single photon with a trapped atom,” Phys. Rev. Lett. 96, 030404 (2006).
[CrossRef]

Sangouard, N.

M. Amniat-Talab, S. Guèrin, N. Sangouard, and H. R. Jauslin, “Atom-photon, atom-atom, and photon-photon entanglement preparation by fractional adiabatic passage,” Phys. Rev. A 71, 023805 (2005).
[CrossRef]

Saucke, K.

J. Volz, M. Weber, D. Schlenk, W. Rosenfeld, J. Vrana, K. Saucke, C. Kurtsiefer, and H. Weinfurter, “Observation of entanglement of a single photon with a trapped atom,” Phys. Rev. Lett. 96, 030404 (2006).
[CrossRef]

Schlenk, D.

J. Volz, M. Weber, D. Schlenk, W. Rosenfeld, J. Vrana, K. Saucke, C. Kurtsiefer, and H. Weinfurter, “Observation of entanglement of a single photon with a trapped atom,” Phys. Rev. Lett. 96, 030404 (2006).
[CrossRef]

Schmidt-Kaler, F.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
[CrossRef]

Schmiedmayer, J.

S. Chen, Y. A. Chen, B. Zhao, Z. S. Yuan, J. Schmiedmayer, and J. W. Pan, “Demonstration of a stable atom-photon entanglement source for quantum repeaters,” Phys. Rev. Lett. 99, 180505 (2007).
[CrossRef]

Sherson, J. F.

J. F. Sherson, H. Krauter, R. K. Olsson, B. Julsgaard, K. Hammerer, I. Cirac, and E. S. Polzik, “Quantum teleportation between light and matter,” Nature 443, 557–560 (2006).
[CrossRef]

Simon, C.

C. Simon and W. T. M. Irvine, “Robust long-distance entanglement and a loophole-free Bell test with ions and photons,” Phys. Rev. Lett. 91, 110405 (2003).
[CrossRef]

Song, H. S.

C. S. Yu, X. X. Yi, H. S. Song, and D. Mei, “Robust preparation of Greenberger-Horne-Zeilinger and W states of three distant atoms,” Phys. Rev. A 75, 044301 (2007).
[CrossRef]

van Enk, S. J.

C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. van Enk, and H. J. Kimble, “Measurement-induced entanglement for excitation stored in remote atomic ensembles,” Nature 438, 828–832 (2005).
[CrossRef]

Volz, J.

W. Rosenfeld, F. Hocke, F. Henkel, M. Krug, J. Volz, M. Weber, and H. Weinfurter, “Towards long-distance atom-photon entanglement,” Phys. Rev. Lett. 101, 260403 (2008).
[CrossRef]

J. Volz, M. Weber, D. Schlenk, W. Rosenfeld, J. Vrana, K. Saucke, C. Kurtsiefer, and H. Weinfurter, “Observation of entanglement of a single photon with a trapped atom,” Phys. Rev. Lett. 96, 030404 (2006).
[CrossRef]

Vrana, J.

J. Volz, M. Weber, D. Schlenk, W. Rosenfeld, J. Vrana, K. Saucke, C. Kurtsiefer, and H. Weinfurter, “Observation of entanglement of a single photon with a trapped atom,” Phys. Rev. Lett. 96, 030404 (2006).
[CrossRef]

Weber, M.

W. Rosenfeld, F. Hocke, F. Henkel, M. Krug, J. Volz, M. Weber, and H. Weinfurter, “Towards long-distance atom-photon entanglement,” Phys. Rev. Lett. 101, 260403 (2008).
[CrossRef]

J. Volz, M. Weber, D. Schlenk, W. Rosenfeld, J. Vrana, K. Saucke, C. Kurtsiefer, and H. Weinfurter, “Observation of entanglement of a single photon with a trapped atom,” Phys. Rev. Lett. 96, 030404 (2006).
[CrossRef]

Weinfurter, H.

W. Rosenfeld, F. Hocke, F. Henkel, M. Krug, J. Volz, M. Weber, and H. Weinfurter, “Towards long-distance atom-photon entanglement,” Phys. Rev. Lett. 101, 260403 (2008).
[CrossRef]

J. Volz, M. Weber, D. Schlenk, W. Rosenfeld, J. Vrana, K. Saucke, C. Kurtsiefer, and H. Weinfurter, “Observation of entanglement of a single photon with a trapped atom,” Phys. Rev. Lett. 96, 030404 (2006).
[CrossRef]

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental realization of a three-qubit entangled W state,” Phys. Rev. Lett. 92, 077901 (2004).
[CrossRef]

J. W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter, and A. Zeilinger, “Experimental test of quantum nonlocality in three-photon Greenberge-Horne-Zeilinger entanglement,” Nature 403, 515–519 (2000).
[CrossRef]

Wineland, D. J.

U. Eichmann, J. C. Bergquist, J. J. Bollinger, J. M. Gilligan, W. M. Itano, D. J. Wineland, and M. G. Raizen, “Young’s interference experiment with light scattered from two atoms,” Phys. Rev. Lett. 70, 2359–2362 (1993).
[CrossRef]

Xu, Z. Z.

X. L. Feng, Z. M. Zhang, X. D. Li, S. Q. Gong, and Z. Z. Xu, “Entangling distant atoms by interference of polarized photons,” Phys. Rev. Lett. 90, 217902 (2003).
[CrossRef]

Yi, X. X.

C. S. Yu, X. X. Yi, H. S. Song, and D. Mei, “Robust preparation of Greenberger-Horne-Zeilinger and W states of three distant atoms,” Phys. Rev. A 75, 044301 (2007).
[CrossRef]

Younge, K. C.

D. L. Moehring, P. Maunz, S. Olmschenk, K. C. Younge, D. N. Matsukevich, L. M. Duan, and C. Monroe, “Entanglement of single-atom quantum bits at a distance,” Nature 449, 68–71 (2007).
[CrossRef]

Yu, C. S.

C. S. Yu, X. X. Yi, H. S. Song, and D. Mei, “Robust preparation of Greenberger-Horne-Zeilinger and W states of three distant atoms,” Phys. Rev. A 75, 044301 (2007).
[CrossRef]

Yuan, Z. S.

S. Chen, Y. A. Chen, B. Zhao, Z. S. Yuan, J. Schmiedmayer, and J. W. Pan, “Demonstration of a stable atom-photon entanglement source for quantum repeaters,” Phys. Rev. Lett. 99, 180505 (2007).
[CrossRef]

Zeilinger, A.

J. W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter, and A. Zeilinger, “Experimental test of quantum nonlocality in three-photon Greenberge-Horne-Zeilinger entanglement,” Nature 403, 515–519 (2000).
[CrossRef]

Zhang, Z. M.

X. L. Feng, Z. M. Zhang, X. D. Li, S. Q. Gong, and Z. Z. Xu, “Entangling distant atoms by interference of polarized photons,” Phys. Rev. Lett. 90, 217902 (2003).
[CrossRef]

Zhao, B.

S. Chen, Y. A. Chen, B. Zhao, Z. S. Yuan, J. Schmiedmayer, and J. W. Pan, “Demonstration of a stable atom-photon entanglement source for quantum repeaters,” Phys. Rev. Lett. 99, 180505 (2007).
[CrossRef]

Zoller, P.

L. M. Duan, M. D. Lukin, J. Cirac, and P. Zoller, “Long-distance quantum communication with atomic ensembles and linear optics,” Nature 414, 413–418 (2001).
[CrossRef]

C. Cabrillo, J. I. Cirac, P. Garcia-Fernandez, and P. Zoller, “Creation of entangled states of distant atoms by interference,” Phys. Rev. A 59, 1025–1033 (1999).
[CrossRef]

H. J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters: the role of imperfect local operations in quantum communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
[CrossRef]

Nature

B. B. Blinov, D. L. Moehring, L. M. Duan, and C. Monroe, “Schemes for generating W state of paths and W state of polarization photons,” Nature 428, 153–157 (2004).
[CrossRef]

J. F. Sherson, H. Krauter, R. K. Olsson, B. Julsgaard, K. Hammerer, I. Cirac, and E. S. Polzik, “Quantum teleportation between light and matter,” Nature 443, 557–560 (2006).
[CrossRef]

L. M. Duan, M. D. Lukin, J. Cirac, and P. Zoller, “Long-distance quantum communication with atomic ensembles and linear optics,” Nature 414, 413–418 (2001).
[CrossRef]

D. L. Moehring, P. Maunz, S. Olmschenk, K. C. Younge, D. N. Matsukevich, L. M. Duan, and C. Monroe, “Entanglement of single-atom quantum bits at a distance,” Nature 449, 68–71 (2007).
[CrossRef]

C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. van Enk, and H. J. Kimble, “Measurement-induced entanglement for excitation stored in remote atomic ensembles,” Nature 438, 828–832 (2005).
[CrossRef]

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

J. W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter, and A. Zeilinger, “Experimental test of quantum nonlocality in three-photon Greenberge-Horne-Zeilinger entanglement,” Nature 403, 515–519 (2000).
[CrossRef]

Phys. Rev. A

W. Lange and H. J. Kimble, “Dynamic generation of maximally entangled photon multiplets by adiabatic passage,” Phys. Rev. A 61, 063817 (2000).
[CrossRef]

C. Cabrillo, J. I. Cirac, P. Garcia-Fernandez, and P. Zoller, “Creation of entangled states of distant atoms by interference,” Phys. Rev. A 59, 1025–1033 (1999).
[CrossRef]

C. S. Yu, X. X. Yi, H. S. Song, and D. Mei, “Robust preparation of Greenberger-Horne-Zeilinger and W states of three distant atoms,” Phys. Rev. A 75, 044301 (2007).
[CrossRef]

M. Amniat-Talab, S. Guèrin, N. Sangouard, and H. R. Jauslin, “Atom-photon, atom-atom, and photon-photon entanglement preparation by fractional adiabatic passage,” Phys. Rev. A 71, 023805 (2005).
[CrossRef]

Phys. Rev. Lett.

J. Volz, M. Weber, D. Schlenk, W. Rosenfeld, J. Vrana, K. Saucke, C. Kurtsiefer, and H. Weinfurter, “Observation of entanglement of a single photon with a trapped atom,” Phys. Rev. Lett. 96, 030404 (2006).
[CrossRef]

S. Chen, Y. A. Chen, B. Zhao, Z. S. Yuan, J. Schmiedmayer, and J. W. Pan, “Demonstration of a stable atom-photon entanglement source for quantum repeaters,” Phys. Rev. Lett. 99, 180505 (2007).
[CrossRef]

W. Rosenfeld, F. Hocke, F. Henkel, M. Krug, J. Volz, M. Weber, and H. Weinfurter, “Towards long-distance atom-photon entanglement,” Phys. Rev. Lett. 101, 260403 (2008).
[CrossRef]

J. Hong and H. W. Lee, “Quasideterministic generation of entangled atoms in a cavity,” Phys. Rev. Lett. 89, 237901 (2002).
[CrossRef]

C. Simon and W. T. M. Irvine, “Robust long-distance entanglement and a loophole-free Bell test with ions and photons,” Phys. Rev. Lett. 91, 110405 (2003).
[CrossRef]

X. L. Feng, Z. M. Zhang, X. D. Li, S. Q. Gong, and Z. Z. Xu, “Entangling distant atoms by interference of polarized photons,” Phys. Rev. Lett. 90, 217902 (2003).
[CrossRef]

H. J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, “Quantum repeaters: the role of imperfect local operations in quantum communication,” Phys. Rev. Lett. 81, 5932–5935 (1998).
[CrossRef]

S. J. Freedman and J. F. Clauser, “Experimental test of local hidden-variable theories,” Phys. Rev. Lett. 28, 938–941 (1972).
[CrossRef]

A. Aspect, P. Grangier, and G. Roger, “Experimental realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: a new violation of Bell’s inequalities,” Phys. Rev. Lett. 49, 91–94 (1982).
[CrossRef]

U. Eichmann, J. C. Bergquist, J. J. Bollinger, J. M. Gilligan, W. M. Itano, D. J. Wineland, and M. G. Raizen, “Young’s interference experiment with light scattered from two atoms,” Phys. Rev. Lett. 70, 2359–2362 (1993).
[CrossRef]

R. G. DeVoe and R. G. Brewer, “Observation of superradiant and subradiant spontaneous emission of two trapped ions,” Phys. Rev. Lett. 76, 2049–2052 (1996).
[CrossRef]

D. N. Matsukevich, T. Chanelière, M. Bhattacharya, S. Y. Lan, S. D. Jenkins, T. A. B. Kennedy, and A. Kuzmich, “Entanglement of a photon and a collective atomic excitation,” Phys. Rev. Lett. 95, 040405 (2005).
[CrossRef]

L. M. Duan and H. J. Kimble, “Efficient engineering of multiatom entanglement through single-photon detections,” Phys. Rev. Lett. 90, 253601 (2003).
[CrossRef]

D. E. Browne, M. B. Plenio, and S. F. Huelga, “Robust creation of entanglement between ions in spatially separate cavities,” Phys. Rev. Lett. 91, 067901 (2003).
[CrossRef]

A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Coupling a single atomic quantum bit to a high finesse optical cavity,” Phys. Rev. Lett. 89, 103001 (2002).
[CrossRef]

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental realization of a three-qubit entangled W state,” Phys. Rev. Lett. 92, 077901 (2004).
[CrossRef]

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Figures (5)

Fig. 1.
Fig. 1.

Structure of a Λ-type three-level atom, which was proposed in [17] to generate a two-atom entangled state and could be achieved using Zeeman sublevels [19].

Fig. 2.
Fig. 2.

Schematic setup of generating three-qubit atom–photon entangled W state. Two remote atoms i (i=1, 2), which are initially driven to their excited states |ei, are trapped in separate cavities Ai. After passing through a series of linear optical elements, the photons leaking out from the cavities Ai are detected by photon detectors. PBS denotes polarization beam splitter, HWP denotes half-wave plate, QWP denotes quarter-wave plate, and Da and Db are single-photon detectors.

Fig. 3.
Fig. 3.

Schematic setup of generating atom–atom entangled W state, where Pi denote the circuit device surrounded by the dashed line in Fig. 2 and Dj are conventional photon detectors.

Fig. 4.
Fig. 4.

Schematic setup of generating a multiqubit atom–photon entangled W state, where Pi denote the circuit device surrounded by the dashed line in Fig. 2. Atoms l and cavities Al (l=1,2,,n) are initially prepared in the state l=1n|el|0L,0RAl. After the photons leaking out from the cavities AL pass through a series of circuit devices Pi, a maximally entangled atom–photon W state, |W=1N+1(|gR1|gR2|gRn|Ve+|gR1|gR2|gLn|He++|gL1|gR2|gRn|He), is obtained by choosing the coupling strengths appropriately.

Fig. 5.
Fig. 5.

Relevant levels of Ca+40.

Equations (15)

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HI=k=L,Rgk(ak|egk|+ak|gke|),
|ψ0=j=12[cos(λjtj)|ej|0L,0RAjisin(λjtj)|φj],
|φj=1λj(gjL|gLj|1L,0RAj+gjR|gRj|0L,1RAj),
|Φ1=j=121λj(gjL|gLj|Vaj+gjR|gRj|Haj).
|HHWP212(|H+|V),|VHWP212(|H|V),
|Φr=1λ1λ2[(g1Rg2L2|gR1|gL2|H5+g1Rg2R2|gR1|gR2|V5+g1Lg2L2|gL1|gL2|V5)|V8+(g1Rg2L2|gR1|gL2|H5+g1Rg2R2|gR1|gR2|V5g1Lg2L2|gL1|gL2|V5)|H9+g1Lg2L2|gL1|gL2|HV5+g1Lg2R|gL1|gR2|2V5g1Rg2L2(|2H9|2V8)].
|Φ±=g1Rg2L2|gR1|gL2|H5+g1Rg2R2|gR1|gR2|V5±g1Lg2L2|gL1|gL2|V5,
|ΦW3=13(|gR1|gR2|Vc+|gR1|gL2|Hc+|gL1|gR2|Hc),
|Ψ1=k=131λk(gkL|gLk|Vak+gkR|gRk|Hak),
|Ψ2=1N1(g1Rg2L|gR1|gR2|Vb1+2g1Rg2R|gR1|gL2|Hb1+g1Lg2L|gL1|gR2|Hb1)1λ3(g3L|gLl|Va3+g3R|gRl|Ha3),
|Ψ3=1N2(g1Rg2Lg3R2|gR1|gR2|gR3|Vd+g1Rg2Lg3L2|gR1|gR2|gL3|Hd+g1Rg2Rg3R|gR1|gL2|gR3|Hd+g1Lg2Lg3R2|gL1|gR2|gR3|Hd),
|ΨW4=12(|gR1|gR2|gR3|Vd+|gR1|gR2|gL3|Hd+|gR1|gL2|gR3|Hd+|gL1|gR2|gR3|Hd).
|ΨWatom=13(|gR1|gR2|gL3+|gR1|gL2|gR3+|gL1|gR2|gR3),
P=P1P2P3=316.
Pc=4κg2(κ+Λ)(κΛ+4g2),

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