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Demonstrating the possibility of implementing the Toffoli gate in crystals doped by rare-earth metal ions

  • Nonlinear and Quantum Optics
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Abstract

A scheme for the implementation of the Toffoli gate in inorganic crystals doped by rare-earth metal ions is proposed. A numerical analysis of the factors affecting the fidelity of the Toffoli gate implementation is carried out, and estimates for the available experimental parameters are obtained. A demonstration experiment is set up in which behavior similar to the Toffoli gate is shown for ensembles of Pr3+ ions doped into a LaF3 crystal.

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References

  1. K. A. Valiev, Usp. Fiz. Nauk 175(1), 3 (2005).

    Article  MathSciNet  Google Scholar 

  2. M. Nielsen and I. Chuang, Quantum Computation and Quantum Information (Cambridge Univ. Press, Cambridge, 2010).

    Book  Google Scholar 

  3. L. M. K. Vandersypen, M. Steffen, G. Breyta, C. S. Yannoni, M. H. Sherwood, and I. L. Chuang, Nature 414, 883 (2001).

    Article  ADS  Google Scholar 

  4. A. Fedorov, L. Steffen, M. Baur, M. P. da Silva, and A. Wallraff, Nature 481, 170 (2012).

    Article  ADS  Google Scholar 

  5. M. D. Reed, L. DiCarlo, S. E. Nigg, L. Sun, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, Nature 482, 392 (2012).

    Article  ADS  Google Scholar 

  6. D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, Phys. Rev. Lett. 81, 2152 (1998).

    Article  ADS  Google Scholar 

  7. T. Monz, K. Kim, W. Hansel, M. Riebe, A. S. Villar, P. Schindler, M. Chwalla, M. Hennrich, and R. Blatt, Phys. Rev. Lett. 102, 040501 (2009).

    Article  ADS  Google Scholar 

  8. B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’Brien, A. Gilchrist, and A. G. White, Nat. Phys. 5, 134 (2009).

    Article  Google Scholar 

  9. A. Walther, B. Julsgaard, L. Rippe, Ying Yan, S. Kröll, R. Fisher, and S. Glasser, Phys. Scr. 137, 1 (2009).

    Google Scholar 

  10. N. Sungouard, C. Simon, H. de Riedmatten, and N. Gisin, Rev. Mod. Phys. 83, 33 (2011).

    Article  ADS  Google Scholar 

  11. E. A. Gazazyan, G. G. Grigoryan, V. O. Chaltykyan, and D. Schraft, J. Contemp. Phys. 47, 216 (2012).

    Article  Google Scholar 

  12. M. Nilson, L. Rippe, N. Ohlsson, T. Cristiansson, and S. Kröll, Phys. Scr. 102, 178 (2002).

    Article  Google Scholar 

  13. L. Rippe, M. Kröll, S. Kröll, et al., Phys. Rev. A 71, 062328 (2005).

    Article  ADS  Google Scholar 

  14. R. A. Akhmedzhanov, A. A. Bondartsev, L. A. Gushchin, I. V. Zelenskii, and A. G. Litvak, JETP Lett. 94, 863 (2011).

    Article  ADS  Google Scholar 

  15. R. A. Akhmedzhanov, A. A. Bondartsev, L. A. Gushchin, I. V. Zelenskii, A. G. Litvak, and D. A. Sobgaida, Opt. Spectrosc. 115(3), 320 (2013).

    Article  ADS  Google Scholar 

  16. M. S. Silver, R. I. Joseph, and D. I. Hoult, Phys. Rev. A 31, 2753 (1985).

    Article  ADS  Google Scholar 

  17. I. Roos and K. Molmer, Phys. Rev. A 69, 022321 (2004).

    Article  ADS  Google Scholar 

  18. O. Guillot-Noel, P. Goldner, and F. Beaudoux, Phys. Rev. B 79, 155119 (2009).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, 603950, Russia

    R. A. Akhmedzhanov, L. A. Gushchin, I. V. Zelensky & D. A. Sobgaida

  2. Nizhny Novgorod State University, Nizhny Novgorod, 603950, Russia

    R. A. Akhmedzhanov, L. A. Gushchin, I. V. Zelensky & D. A. Sobgaida

  3. Institute for Physical Research, National Academy of Sciences of Armenia, Ashtarak, 0203, Armenia

    Yu. P. Malakyan

Authors
  1. R. A. Akhmedzhanov
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  2. L. A. Gushchin
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  3. I. V. Zelensky
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  4. Yu. P. Malakyan
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  5. D. A. Sobgaida
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Corresponding author

Correspondence to R. A. Akhmedzhanov.

Additional information

Original Russian Text © R.A. Akhmedzhanov, L.A. Gushchin, I.V. Zelensky, Yu.P. Malakyan, D.A. Sobgaida, 2015, published in Optika i Spektroskopiya, 2015, Vol. 119, No. 1, pp. 102–106.

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Akhmedzhanov, R.A., Gushchin, L.A., Zelensky, I.V. et al. Demonstrating the possibility of implementing the Toffoli gate in crystals doped by rare-earth metal ions. Opt. Spectrosc. 119, 98–102 (2015). https://doi.org/10.1134/S0030400X15070024

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  • DOI: https://doi.org/10.1134/S0030400X15070024

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