Abstract

We present an experimental study of controlled-NOT (CNOT) gate through four-wave mixing (FWM) process in a Rubidium vapor cell. A degenerate FWM process in a two level atomic system is directly excited by a single diode laser, where backward pump beam and probe beam are Laguerre Gaussian mode. By means of photons carrying orbital angular momentum, we demonstrate the ability to realize CNOT gate with topological charges transformation in this nonlinear process. The fidelity of CNOT gate for a superposition state with different topological charge reaches about 97% in our experiment.

© 2014 Optical Society of America

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References

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  1. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
    [Crossref] [PubMed]
  2. T Kuga, Y Torii, N Shiokawa, T Hirano, Y Shimizu, and H Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
    [Crossref]
  3. D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
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  4. N. Uribe-Patarroyo, A. Fraine, D. S. Simon, O. Minaeva, and A. V. Sergienko, “Object identification using correlated orbital angular momentum states,” Phys. Rev. Lett. 110, 043601 (2013).
    [Crossref]
  5. J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
    [Crossref]
  6. P. Zhang, B. H. Liu, R. F. Liu, H. R. Li, F. L. Li, and G. C. Guo, “Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons,” Phys. Rev. A 75, 052310 (2010).
    [Crossref]
  7. N. B. Phillips, A. V. Gorshkov, and I. Novikova, “Light storage in an optically thick atomic ensemble under conditions of electromagnetically induced transparency and four-wave mixing,” Phys. Rev. A 83, 063823 (2011).
    [Crossref]
  8. S.W. Du, P. Kolchin, C. Belthangady, G.Y. Yin, and S. E. Harris, “Subnatural Linewidth Biphotons with Controllable Temporal Length,” Phys. Rev. Lett. 100, 183603 (2008).
    [Crossref] [PubMed]
  9. Q. F. Chen, B. S. Shi, Y. S. Zhang, and G. C. Guo, “Entanglement of the orbital angular momentum states of the photon pairs generated in a hot atomic ensemble,” Phys. Rev. A 78, 053810 (2008).
    [Crossref]
  10. S. Barreiro and J. W. R. Tabosa, “Generation of light carrying orbital angular momentum via induced coherence grating in cold atoms,” Phys. Rev. Lett. 90, 133001 (2003).
    [Crossref] [PubMed]
  11. G. Walker, A. S. Arnold, and S. Franke-Arnold, “Trans-spectral orbital angular momentum transfer via four-wave mixing in Rb vapor,” Phys. Rev. Lett. 108, 243601 (2012).
    [Crossref] [PubMed]
  12. A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
    [Crossref] [PubMed]
  13. D. Akamatsu and M. Kozuma, “Coherent transfer of orbital angular momentum from an atomic system to a light field,” Phys. Rev. A 67, 023803 (2003).
    [Crossref]
  14. H. H. Arnaut and G. A. Barbosa, “Orbital and intrinsic angular momentum of single photons and entangled pairs of photons generated by parametric down-conversion,” Phys. Rev. Lett. 85, 286–289 (2000).
    [Crossref] [PubMed]
  15. W. Jiang, Q. F. Chen, Y. S. Zhang, and G. C. Guo, “Computation of topological charges of optical vortices via nondegenerate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
    [Crossref]
  16. D. Deutsch, “Quantum theory, the Church-Turing principle and the universal quantum computer,” Proc. R. Soc. London A 400, 97–117 (1985).
    [Crossref]
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    [Crossref] [PubMed]
  18. A. Barenco, D. Deutsch, and A. Ekert, “Conditional quantum dynamics and logic gates,” Phys. Rev. Lett. 74, 4083–4086 (1995).
    [Crossref] [PubMed]
  19. J. I. Cirac and P. Zoller, “Quantum computations with cold trapped ions,” Phys. Rev. Lett. 74, 4091–4094 (1995).
    [Crossref] [PubMed]
  20. T. Yamamoto, “Demonstration of conditional gate operation using superconducting charge qubits,” Nature 425, 941–944 (2003).
    [Crossref] [PubMed]
  21. L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-not quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
    [Crossref] [PubMed]
  22. C. Bonato, C. Bonato, F. Haupt, S. S. R. Oemrawsingh, J. Gudat, D.P. Ding, M. P. van Exter, and D. Bouwmeester, “CNOT and Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. Lett. 104, 160503 (2010).
    [Crossref] [PubMed]
  23. J. L. OBrien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature 426, 264–267 (2003).
    [Crossref]
  24. M. T. Cao, L. Han, R. F. Liu, H. Liu, D. Wei, P. Zhang, Y. Zhou, W. G. Guo, S. G. Zhang, H. Gao, and F. L. Li, “Deutsch’s algorithm with topological charges of optical vortices via non-degenerate four-wave mixing,” Opt. Express 20, 24263–24271 (2012).
    [Crossref] [PubMed]
  25. T. Passerat de Silans, C. S. L. Goncalves, D. Felinto, and J. W. R. Tabosa, “Enhanced four-wave mixing via crossover resonance in cesium vapor,” J. Opt. Soc. Am. B 28, 2220–2226 (2011).
    [Crossref]
  26. R. W. Boyd, Nonlinear Optics (Academic, 1992).

2013 (1)

N. Uribe-Patarroyo, A. Fraine, D. S. Simon, O. Minaeva, and A. V. Sergienko, “Object identification using correlated orbital angular momentum states,” Phys. Rev. Lett. 110, 043601 (2013).
[Crossref]

2012 (3)

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
[Crossref]

G. Walker, A. S. Arnold, and S. Franke-Arnold, “Trans-spectral orbital angular momentum transfer via four-wave mixing in Rb vapor,” Phys. Rev. Lett. 108, 243601 (2012).
[Crossref] [PubMed]

M. T. Cao, L. Han, R. F. Liu, H. Liu, D. Wei, P. Zhang, Y. Zhou, W. G. Guo, S. G. Zhang, H. Gao, and F. L. Li, “Deutsch’s algorithm with topological charges of optical vortices via non-degenerate four-wave mixing,” Opt. Express 20, 24263–24271 (2012).
[Crossref] [PubMed]

2011 (2)

T. Passerat de Silans, C. S. L. Goncalves, D. Felinto, and J. W. R. Tabosa, “Enhanced four-wave mixing via crossover resonance in cesium vapor,” J. Opt. Soc. Am. B 28, 2220–2226 (2011).
[Crossref]

N. B. Phillips, A. V. Gorshkov, and I. Novikova, “Light storage in an optically thick atomic ensemble under conditions of electromagnetically induced transparency and four-wave mixing,” Phys. Rev. A 83, 063823 (2011).
[Crossref]

2010 (3)

P. Zhang, B. H. Liu, R. F. Liu, H. R. Li, F. L. Li, and G. C. Guo, “Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons,” Phys. Rev. A 75, 052310 (2010).
[Crossref]

L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-not quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[Crossref] [PubMed]

C. Bonato, C. Bonato, F. Haupt, S. S. R. Oemrawsingh, J. Gudat, D.P. Ding, M. P. van Exter, and D. Bouwmeester, “CNOT and Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. Lett. 104, 160503 (2010).
[Crossref] [PubMed]

2008 (3)

S.W. Du, P. Kolchin, C. Belthangady, G.Y. Yin, and S. E. Harris, “Subnatural Linewidth Biphotons with Controllable Temporal Length,” Phys. Rev. Lett. 100, 183603 (2008).
[Crossref] [PubMed]

Q. F. Chen, B. S. Shi, Y. S. Zhang, and G. C. Guo, “Entanglement of the orbital angular momentum states of the photon pairs generated in a hot atomic ensemble,” Phys. Rev. A 78, 053810 (2008).
[Crossref]

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref] [PubMed]

2006 (1)

W. Jiang, Q. F. Chen, Y. S. Zhang, and G. C. Guo, “Computation of topological charges of optical vortices via nondegenerate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
[Crossref]

2003 (5)

D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
[Crossref] [PubMed]

D. Akamatsu and M. Kozuma, “Coherent transfer of orbital angular momentum from an atomic system to a light field,” Phys. Rev. A 67, 023803 (2003).
[Crossref]

S. Barreiro and J. W. R. Tabosa, “Generation of light carrying orbital angular momentum via induced coherence grating in cold atoms,” Phys. Rev. Lett. 90, 133001 (2003).
[Crossref] [PubMed]

J. L. OBrien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature 426, 264–267 (2003).
[Crossref]

T. Yamamoto, “Demonstration of conditional gate operation using superconducting charge qubits,” Nature 425, 941–944 (2003).
[Crossref] [PubMed]

2000 (1)

H. H. Arnaut and G. A. Barbosa, “Orbital and intrinsic angular momentum of single photons and entangled pairs of photons generated by parametric down-conversion,” Phys. Rev. Lett. 85, 286–289 (2000).
[Crossref] [PubMed]

1997 (1)

T Kuga, Y Torii, N Shiokawa, T Hirano, Y Shimizu, and H Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
[Crossref]

1995 (2)

A. Barenco, D. Deutsch, and A. Ekert, “Conditional quantum dynamics and logic gates,” Phys. Rev. Lett. 74, 4083–4086 (1995).
[Crossref] [PubMed]

J. I. Cirac and P. Zoller, “Quantum computations with cold trapped ions,” Phys. Rev. Lett. 74, 4091–4094 (1995).
[Crossref] [PubMed]

1992 (1)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref] [PubMed]

1989 (1)

G. J. Milburn, “Quantum optical Fredkin gate,” Phys. Rev. Lett 62, 2124–2127 (1989).
[Crossref] [PubMed]

1985 (1)

D. Deutsch, “Quantum theory, the Church-Turing principle and the universal quantum computer,” Proc. R. Soc. London A 400, 97–117 (1985).
[Crossref]

Ahmed, N.

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
[Crossref]

Akamatsu, D.

D. Akamatsu and M. Kozuma, “Coherent transfer of orbital angular momentum from an atomic system to a light field,” Phys. Rev. A 67, 023803 (2003).
[Crossref]

Allen, L.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref] [PubMed]

Arnaut, H. H.

H. H. Arnaut and G. A. Barbosa, “Orbital and intrinsic angular momentum of single photons and entangled pairs of photons generated by parametric down-conversion,” Phys. Rev. Lett. 85, 286–289 (2000).
[Crossref] [PubMed]

Arnold, A. S.

G. Walker, A. S. Arnold, and S. Franke-Arnold, “Trans-spectral orbital angular momentum transfer via four-wave mixing in Rb vapor,” Phys. Rev. Lett. 108, 243601 (2012).
[Crossref] [PubMed]

Barbosa, G. A.

H. H. Arnaut and G. A. Barbosa, “Orbital and intrinsic angular momentum of single photons and entangled pairs of photons generated by parametric down-conversion,” Phys. Rev. Lett. 85, 286–289 (2000).
[Crossref] [PubMed]

Barenco, A.

A. Barenco, D. Deutsch, and A. Ekert, “Conditional quantum dynamics and logic gates,” Phys. Rev. Lett. 74, 4083–4086 (1995).
[Crossref] [PubMed]

Barreiro, S.

S. Barreiro and J. W. R. Tabosa, “Generation of light carrying orbital angular momentum via induced coherence grating in cold atoms,” Phys. Rev. Lett. 90, 133001 (2003).
[Crossref] [PubMed]

Beijersbergen, M. W.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref] [PubMed]

Belthangady, C.

S.W. Du, P. Kolchin, C. Belthangady, G.Y. Yin, and S. E. Harris, “Subnatural Linewidth Biphotons with Controllable Temporal Length,” Phys. Rev. Lett. 100, 183603 (2008).
[Crossref] [PubMed]

Bonato, C.

C. Bonato, C. Bonato, F. Haupt, S. S. R. Oemrawsingh, J. Gudat, D.P. Ding, M. P. van Exter, and D. Bouwmeester, “CNOT and Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. Lett. 104, 160503 (2010).
[Crossref] [PubMed]

C. Bonato, C. Bonato, F. Haupt, S. S. R. Oemrawsingh, J. Gudat, D.P. Ding, M. P. van Exter, and D. Bouwmeester, “CNOT and Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. Lett. 104, 160503 (2010).
[Crossref] [PubMed]

Bouwmeester, D.

C. Bonato, C. Bonato, F. Haupt, S. S. R. Oemrawsingh, J. Gudat, D.P. Ding, M. P. van Exter, and D. Bouwmeester, “CNOT and Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. Lett. 104, 160503 (2010).
[Crossref] [PubMed]

Boyd, R. W.

R. W. Boyd, Nonlinear Optics (Academic, 1992).

Boyer, V.

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref] [PubMed]

Branning, D.

J. L. OBrien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature 426, 264–267 (2003).
[Crossref]

Cao, M. T.

Chen, Q. F.

Q. F. Chen, B. S. Shi, Y. S. Zhang, and G. C. Guo, “Entanglement of the orbital angular momentum states of the photon pairs generated in a hot atomic ensemble,” Phys. Rev. A 78, 053810 (2008).
[Crossref]

W. Jiang, Q. F. Chen, Y. S. Zhang, and G. C. Guo, “Computation of topological charges of optical vortices via nondegenerate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
[Crossref]

Cirac, J. I.

J. I. Cirac and P. Zoller, “Quantum computations with cold trapped ions,” Phys. Rev. Lett. 74, 4091–4094 (1995).
[Crossref] [PubMed]

Deutsch, D.

A. Barenco, D. Deutsch, and A. Ekert, “Conditional quantum dynamics and logic gates,” Phys. Rev. Lett. 74, 4083–4086 (1995).
[Crossref] [PubMed]

D. Deutsch, “Quantum theory, the Church-Turing principle and the universal quantum computer,” Proc. R. Soc. London A 400, 97–117 (1985).
[Crossref]

Ding, D.P.

C. Bonato, C. Bonato, F. Haupt, S. S. R. Oemrawsingh, J. Gudat, D.P. Ding, M. P. van Exter, and D. Bouwmeester, “CNOT and Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. Lett. 104, 160503 (2010).
[Crossref] [PubMed]

Dolinar, S.

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
[Crossref]

Du, S.W.

S.W. Du, P. Kolchin, C. Belthangady, G.Y. Yin, and S. E. Harris, “Subnatural Linewidth Biphotons with Controllable Temporal Length,” Phys. Rev. Lett. 100, 183603 (2008).
[Crossref] [PubMed]

Ekert, A.

A. Barenco, D. Deutsch, and A. Ekert, “Conditional quantum dynamics and logic gates,” Phys. Rev. Lett. 74, 4083–4086 (1995).
[Crossref] [PubMed]

Fazal, I. M.

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
[Crossref]

Felinto, D.

Fraine, A.

N. Uribe-Patarroyo, A. Fraine, D. S. Simon, O. Minaeva, and A. V. Sergienko, “Object identification using correlated orbital angular momentum states,” Phys. Rev. Lett. 110, 043601 (2013).
[Crossref]

Franke-Arnold, S.

G. Walker, A. S. Arnold, and S. Franke-Arnold, “Trans-spectral orbital angular momentum transfer via four-wave mixing in Rb vapor,” Phys. Rev. Lett. 108, 243601 (2012).
[Crossref] [PubMed]

Gao, H.

Gill, A. T.

L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-not quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[Crossref] [PubMed]

Goncalves, C. S. L.

Gorshkov, A. V.

N. B. Phillips, A. V. Gorshkov, and I. Novikova, “Light storage in an optically thick atomic ensemble under conditions of electromagnetically induced transparency and four-wave mixing,” Phys. Rev. A 83, 063823 (2011).
[Crossref]

Grier, D. G.

D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
[Crossref] [PubMed]

Gudat, J.

C. Bonato, C. Bonato, F. Haupt, S. S. R. Oemrawsingh, J. Gudat, D.P. Ding, M. P. van Exter, and D. Bouwmeester, “CNOT and Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. Lett. 104, 160503 (2010).
[Crossref] [PubMed]

Guo, G. C.

P. Zhang, B. H. Liu, R. F. Liu, H. R. Li, F. L. Li, and G. C. Guo, “Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons,” Phys. Rev. A 75, 052310 (2010).
[Crossref]

Q. F. Chen, B. S. Shi, Y. S. Zhang, and G. C. Guo, “Entanglement of the orbital angular momentum states of the photon pairs generated in a hot atomic ensemble,” Phys. Rev. A 78, 053810 (2008).
[Crossref]

W. Jiang, Q. F. Chen, Y. S. Zhang, and G. C. Guo, “Computation of topological charges of optical vortices via nondegenerate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
[Crossref]

Guo, W. G.

Han, L.

Harris, S. E.

S.W. Du, P. Kolchin, C. Belthangady, G.Y. Yin, and S. E. Harris, “Subnatural Linewidth Biphotons with Controllable Temporal Length,” Phys. Rev. Lett. 100, 183603 (2008).
[Crossref] [PubMed]

Haupt, F.

C. Bonato, C. Bonato, F. Haupt, S. S. R. Oemrawsingh, J. Gudat, D.P. Ding, M. P. van Exter, and D. Bouwmeester, “CNOT and Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. Lett. 104, 160503 (2010).
[Crossref] [PubMed]

Henage, T.

L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-not quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[Crossref] [PubMed]

Hirano, T

T Kuga, Y Torii, N Shiokawa, T Hirano, Y Shimizu, and H Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
[Crossref]

Huang, H.

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
[Crossref]

Isenhower, L.

L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-not quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[Crossref] [PubMed]

Jiang, W.

W. Jiang, Q. F. Chen, Y. S. Zhang, and G. C. Guo, “Computation of topological charges of optical vortices via nondegenerate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
[Crossref]

Johnson, T. A.

L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-not quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[Crossref] [PubMed]

Jones, K. M.

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref] [PubMed]

Kolchin, P.

S.W. Du, P. Kolchin, C. Belthangady, G.Y. Yin, and S. E. Harris, “Subnatural Linewidth Biphotons with Controllable Temporal Length,” Phys. Rev. Lett. 100, 183603 (2008).
[Crossref] [PubMed]

Kozuma, M.

D. Akamatsu and M. Kozuma, “Coherent transfer of orbital angular momentum from an atomic system to a light field,” Phys. Rev. A 67, 023803 (2003).
[Crossref]

Kuga, T

T Kuga, Y Torii, N Shiokawa, T Hirano, Y Shimizu, and H Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
[Crossref]

Lemons, K.

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref] [PubMed]

Lett, P. D.

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref] [PubMed]

Li, F. L.

M. T. Cao, L. Han, R. F. Liu, H. Liu, D. Wei, P. Zhang, Y. Zhou, W. G. Guo, S. G. Zhang, H. Gao, and F. L. Li, “Deutsch’s algorithm with topological charges of optical vortices via non-degenerate four-wave mixing,” Opt. Express 20, 24263–24271 (2012).
[Crossref] [PubMed]

P. Zhang, B. H. Liu, R. F. Liu, H. R. Li, F. L. Li, and G. C. Guo, “Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons,” Phys. Rev. A 75, 052310 (2010).
[Crossref]

Li, H. R.

P. Zhang, B. H. Liu, R. F. Liu, H. R. Li, F. L. Li, and G. C. Guo, “Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons,” Phys. Rev. A 75, 052310 (2010).
[Crossref]

Liu, B. H.

P. Zhang, B. H. Liu, R. F. Liu, H. R. Li, F. L. Li, and G. C. Guo, “Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons,” Phys. Rev. A 75, 052310 (2010).
[Crossref]

Liu, H.

Liu, R. F.

M. T. Cao, L. Han, R. F. Liu, H. Liu, D. Wei, P. Zhang, Y. Zhou, W. G. Guo, S. G. Zhang, H. Gao, and F. L. Li, “Deutsch’s algorithm with topological charges of optical vortices via non-degenerate four-wave mixing,” Opt. Express 20, 24263–24271 (2012).
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P. Zhang, B. H. Liu, R. F. Liu, H. R. Li, F. L. Li, and G. C. Guo, “Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons,” Phys. Rev. A 75, 052310 (2010).
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A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
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G. J. Milburn, “Quantum optical Fredkin gate,” Phys. Rev. Lett 62, 2124–2127 (1989).
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N. Uribe-Patarroyo, A. Fraine, D. S. Simon, O. Minaeva, and A. V. Sergienko, “Object identification using correlated orbital angular momentum states,” Phys. Rev. Lett. 110, 043601 (2013).
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[Crossref]

OBrien, J. L.

J. L. OBrien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature 426, 264–267 (2003).
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Oemrawsingh, S. S. R.

C. Bonato, C. Bonato, F. Haupt, S. S. R. Oemrawsingh, J. Gudat, D.P. Ding, M. P. van Exter, and D. Bouwmeester, “CNOT and Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. Lett. 104, 160503 (2010).
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Phillips, N. B.

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A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
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J. L. OBrien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature 426, 264–267 (2003).
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J. L. OBrien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature 426, 264–267 (2003).
[Crossref]

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J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
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L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-not quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
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N. Uribe-Patarroyo, A. Fraine, D. S. Simon, O. Minaeva, and A. V. Sergienko, “Object identification using correlated orbital angular momentum states,” Phys. Rev. Lett. 110, 043601 (2013).
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Q. F. Chen, B. S. Shi, Y. S. Zhang, and G. C. Guo, “Entanglement of the orbital angular momentum states of the photon pairs generated in a hot atomic ensemble,” Phys. Rev. A 78, 053810 (2008).
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T Kuga, Y Torii, N Shiokawa, T Hirano, Y Shimizu, and H Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
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N. Uribe-Patarroyo, A. Fraine, D. S. Simon, O. Minaeva, and A. V. Sergienko, “Object identification using correlated orbital angular momentum states,” Phys. Rev. Lett. 110, 043601 (2013).
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T Kuga, Y Torii, N Shiokawa, T Hirano, Y Shimizu, and H Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
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Tur, M.

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
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L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-not quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
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N. Uribe-Patarroyo, A. Fraine, D. S. Simon, O. Minaeva, and A. V. Sergienko, “Object identification using correlated orbital angular momentum states,” Phys. Rev. Lett. 110, 043601 (2013).
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van Exter, M. P.

C. Bonato, C. Bonato, F. Haupt, S. S. R. Oemrawsingh, J. Gudat, D.P. Ding, M. P. van Exter, and D. Bouwmeester, “CNOT and Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. Lett. 104, 160503 (2010).
[Crossref] [PubMed]

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G. Walker, A. S. Arnold, and S. Franke-Arnold, “Trans-spectral orbital angular momentum transfer via four-wave mixing in Rb vapor,” Phys. Rev. Lett. 108, 243601 (2012).
[Crossref] [PubMed]

Walker, T. G.

L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-not quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[Crossref] [PubMed]

Wang, J.

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
[Crossref]

Wei, D.

White, A. G.

J. L. OBrien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature 426, 264–267 (2003).
[Crossref]

Willner, A. E.

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
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L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
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T. Yamamoto, “Demonstration of conditional gate operation using superconducting charge qubits,” Nature 425, 941–944 (2003).
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J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
[Crossref]

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J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
[Crossref]

Yin, G.Y.

S.W. Du, P. Kolchin, C. Belthangady, G.Y. Yin, and S. E. Harris, “Subnatural Linewidth Biphotons with Controllable Temporal Length,” Phys. Rev. Lett. 100, 183603 (2008).
[Crossref] [PubMed]

Yue, Y.

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
[Crossref]

Zhang, P.

M. T. Cao, L. Han, R. F. Liu, H. Liu, D. Wei, P. Zhang, Y. Zhou, W. G. Guo, S. G. Zhang, H. Gao, and F. L. Li, “Deutsch’s algorithm with topological charges of optical vortices via non-degenerate four-wave mixing,” Opt. Express 20, 24263–24271 (2012).
[Crossref] [PubMed]

P. Zhang, B. H. Liu, R. F. Liu, H. R. Li, F. L. Li, and G. C. Guo, “Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons,” Phys. Rev. A 75, 052310 (2010).
[Crossref]

Zhang, S. G.

Zhang, X. L.

L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-not quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[Crossref] [PubMed]

Zhang, Y. S.

Q. F. Chen, B. S. Shi, Y. S. Zhang, and G. C. Guo, “Entanglement of the orbital angular momentum states of the photon pairs generated in a hot atomic ensemble,” Phys. Rev. A 78, 053810 (2008).
[Crossref]

W. Jiang, Q. F. Chen, Y. S. Zhang, and G. C. Guo, “Computation of topological charges of optical vortices via nondegenerate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
[Crossref]

Zhou, Y.

Zoller, P.

J. I. Cirac and P. Zoller, “Quantum computations with cold trapped ions,” Phys. Rev. Lett. 74, 4091–4094 (1995).
[Crossref] [PubMed]

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

Nat. Photon. (1)

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photon. 6, 488–496 (2012).
[Crossref]

Nature (3)

D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
[Crossref] [PubMed]

J. L. OBrien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, “Demonstration of an all-optical quantum controlled-NOT gate,” Nature 426, 264–267 (2003).
[Crossref]

T. Yamamoto, “Demonstration of conditional gate operation using superconducting charge qubits,” Nature 425, 941–944 (2003).
[Crossref] [PubMed]

Opt. Express (1)

Phys. Rev. A (6)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref] [PubMed]

P. Zhang, B. H. Liu, R. F. Liu, H. R. Li, F. L. Li, and G. C. Guo, “Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons,” Phys. Rev. A 75, 052310 (2010).
[Crossref]

N. B. Phillips, A. V. Gorshkov, and I. Novikova, “Light storage in an optically thick atomic ensemble under conditions of electromagnetically induced transparency and four-wave mixing,” Phys. Rev. A 83, 063823 (2011).
[Crossref]

Q. F. Chen, B. S. Shi, Y. S. Zhang, and G. C. Guo, “Entanglement of the orbital angular momentum states of the photon pairs generated in a hot atomic ensemble,” Phys. Rev. A 78, 053810 (2008).
[Crossref]

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W. Jiang, Q. F. Chen, Y. S. Zhang, and G. C. Guo, “Computation of topological charges of optical vortices via nondegenerate four-wave mixing,” Phys. Rev. A 74, 043811 (2006).
[Crossref]

Phys. Rev. Lett (1)

G. J. Milburn, “Quantum optical Fredkin gate,” Phys. Rev. Lett 62, 2124–2127 (1989).
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Phys. Rev. Lett. (11)

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[Crossref] [PubMed]

C. Bonato, C. Bonato, F. Haupt, S. S. R. Oemrawsingh, J. Gudat, D.P. Ding, M. P. van Exter, and D. Bouwmeester, “CNOT and Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. Lett. 104, 160503 (2010).
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H. H. Arnaut and G. A. Barbosa, “Orbital and intrinsic angular momentum of single photons and entangled pairs of photons generated by parametric down-conversion,” Phys. Rev. Lett. 85, 286–289 (2000).
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S. Barreiro and J. W. R. Tabosa, “Generation of light carrying orbital angular momentum via induced coherence grating in cold atoms,” Phys. Rev. Lett. 90, 133001 (2003).
[Crossref] [PubMed]

G. Walker, A. S. Arnold, and S. Franke-Arnold, “Trans-spectral orbital angular momentum transfer via four-wave mixing in Rb vapor,” Phys. Rev. Lett. 108, 243601 (2012).
[Crossref] [PubMed]

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref] [PubMed]

S.W. Du, P. Kolchin, C. Belthangady, G.Y. Yin, and S. E. Harris, “Subnatural Linewidth Biphotons with Controllable Temporal Length,” Phys. Rev. Lett. 100, 183603 (2008).
[Crossref] [PubMed]

T Kuga, Y Torii, N Shiokawa, T Hirano, Y Shimizu, and H Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
[Crossref]

N. Uribe-Patarroyo, A. Fraine, D. S. Simon, O. Minaeva, and A. V. Sergienko, “Object identification using correlated orbital angular momentum states,” Phys. Rev. Lett. 110, 043601 (2013).
[Crossref]

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Other (1)

R. W. Boyd, Nonlinear Optics (Academic, 1992).

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Figures (5)

Fig. 1
Fig. 1 (a) The schematic of the four-wave mixing. Forward pump, probe and backward pump beam are denoted as F, P, B respectively, the S is FWM signal field. (b)The energy diagram of atom levels coupled by different laser fields in the scheme.
Fig. 2
Fig. 2 Experimental setup of the four-wave mixing scheme. SLM, spatial light modulator, PBS, polarizing beam-splitter, QWP, quarter waveplate, HWP, half waveplate.
Fig. 3
Fig. 3 Experimental results. The left part of images are the backward beam profile and the right part of images are the pattern of generated FWM signal, S. (a) and (b) are the operation of control qubit 0 with target qubit 0 and 1. (c) and (d) are the operation of control qubit 1 with target qubit 0 and 1, respectively.
Fig. 4
Fig. 4 Interference pattern of qubit S with a plane wave. (a) interference pattern of Gaussian mode with plane wave. (b) interference pattern of LG01 mode with plane wave. (c), (d) are theoretical results on corresponding conditions.
Fig. 5
Fig. 5 The experimental results of CNOT gate for superposition state. The initial five superposition states are |0〉, 5 5 | 0 + 2 5 5 | 1 , 1 2 | 0 + 2 3 4 | 1 , 3 3 | 0 + 6 3 | 1 2 2 | 0 + 2 2 | 1 , which are presented by black color with the shape of half-gap triangle, circle, square, triangle, and star. The red symbols are the corresponding experimental results. The dashed line satisfies a2 + b2 = 1. (a) and (b) correspond to the control qubit of 0 and 1, respectively.

Tables (1)

Tables Icon

Table 1 Encoding protocol using quantum states of OAM to realize the CNOT gate.

Equations (5)

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

LG p l = 2 p ! π ( p + | l | ! ) 1 ω ( z ) [ r 2 ω ( z ) ] | l | exp [ r 2 ω 2 ( z ) ] L p | l | ( 2 r 2 ω 2 ( z ) ) exp [ i k 0 r 2 z 2 ( z 2 + z R 2 ) ] exp [ i ( 2 p + | l | + 1 ) tan 1 ( z z R ) ] exp ( i l ϕ ) ,
E F = A F e i l F ϕ , E P = A P e i l P ϕ , E B = A B e i l B ϕ ,
E S χ ( 3 ) E F E P E B * .
E S χ ( 3 ) A F A P A B * exp [ i ( l F + l P l B ) ϕ ] .
P ^ [ a | 0 + b | 1 ] = a | e i ( 0 + 1 1 ) ϕ + b | e i ( 0 + 0 1 ) ϕ = a | 0 + b | 1 , P ^ [ a | 0 + b | 1 ] = a | e i ( 0 + 1 0 ) ϕ + b | e i ( 0 + 0 0 ) ϕ = a | 1 + b | 0 .

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