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Realization of quantum gates in rotating single crystal

  • Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China

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https://doi.org/10.3969/j.issn.0253-2778.2015.03.008
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  • Corresponding author: YAN Benjun (corresponding author), male, born in 1987, master. Research field: quantum computing.
  • Received Date: 24 April 2014
  • Accepted Date: 13 June 2014
  • Rev Recd Date: 13 June 2014
  • Publish Date: 30 March 2015
    Abstract

  • Abstract

    Quantum gates in solid-state nuclear magnetic resonance (NMR) under magic-angle spinning (MAS) was realized. First, all anisotrope interactions of the sample were averaged out under the MAS. Then, the special pulse sequences or conditions were used to recover the interactions used to realize controlled operations. The advantage of this method for them in liquid NMR is that the pulse sequences of controlled operations are simplified, because they do not need complicated decoupling sequences, and the evolution time of the pulse sequences is shorter. Finally, the quantum operations were simulated, and the results are in complete agreement with the theoretical predictions.

    Abstract

    Quantum gates in solid-state nuclear magnetic resonance (NMR) under magic-angle spinning (MAS) was realized. First, all anisotrope interactions of the sample were averaged out under the MAS. Then, the special pulse sequences or conditions were used to recover the interactions used to realize controlled operations. The advantage of this method for them in liquid NMR is that the pulse sequences of controlled operations are simplified, because they do not need complicated decoupling sequences, and the evolution time of the pulse sequences is shorter. Finally, the quantum operations were simulated, and the results are in complete agreement with the theoretical predictions.
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    • References(12)
  • [1]
    Price M D, Somaroo S S, Tseng C H, et al. Construction and implementation of NMR quantum logic gates for two spin systems[J]. Journal of Magnetic Resonance, 1999, 140(2): 371-378.
    [2]
    Takeda K, Kitagawa M. Attainment of high nuclear spin polarization in molecular solids and its applicability to NMR quantum computing[C]//ERATO conference on Quantum Information Science (EQIS 2003), Sep 4-6,2003, Niijima-Kaikan, Kyoto, Japan.
    [3]
    Levitt M H, Raleigh D P, Creuzet F, et al. Theory and simulations of homonuclear spin pair systems in rotating solids[J]. The Journal of Chemical Physics, 1990, 92: 6 347-6 364.
    [4]
    Ernst M, Samoson A, Meier B H. Decoupling and recoupling using continuous-wave irradiation in magic-angle-spinning solid-state NMR: A unified description using bimodal Floquet theory[J]. The Journal of Chemical Physics, 2005, 123: 064102.
    [5]
    Bryce D L, Wasylishen R E. Encyclopedia of Spectroscopy and Spectrometry[M]. New York: Academic Press, 2010.
    [6]
    Brinkmann A, Levitt M H. Symmetry principles in the NMR of spinning solids: Heteronuclear recoupling by generalized Hartmann-Hahn sequences[J]. The Journal of Chemical Physics, 2001, 115:357-384.
    [7]
    Uto T, Takeda K, Kitagawa M. Controlled operation by solid-state NMR based on dipolar recoupling under magic angle spinning[EB/OL]. [2014-04-25]. http://qci.is.s.u-tokyo.ac.jp/qci/eqis03/program/posters/P613-Uto.pdf
    [8]
    Bak M, Rasmussen J T, Nielsen N C. SIMPSON: A general simulation program for solid-state NMR spectroscopy[J]. Journal for Magnetic Resonance, 2000, 146: 296-330.
    [9]
    Edén M. Computer simulations in solid-state NMR.Ⅰ. Spin dynamics theory[J]. Concepts in Magnetic Resonance Part A, 2003, 17A(1): 117-154.
    [10]
    Varshalovich D A, Moskalev A N, Khersonskii V K. Quantum Theory of Angular Momentum[M]. Singapore: World Scientific, 1988.
    [11]
    Herbehrlen U, Waugh J S. Coherent averaging effects in magnetic resonance[J]. Physical Review,1968, 175(2): 453-467.
    [12]
    Madi Z L, Brüschweiler R, Ernst R R. One- and two-dimensional ensemble quantum computing in spin Liouville space[J]. J Chem Phys, 1998, 109: 10 603-10 611.
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    [1]
    Price M D, Somaroo S S, Tseng C H, et al. Construction and implementation of NMR quantum logic gates for two spin systems[J]. Journal of Magnetic Resonance, 1999, 140(2): 371-378.
    [2]
    Takeda K, Kitagawa M. Attainment of high nuclear spin polarization in molecular solids and its applicability to NMR quantum computing[C]//ERATO conference on Quantum Information Science (EQIS 2003), Sep 4-6,2003, Niijima-Kaikan, Kyoto, Japan.
    [3]
    Levitt M H, Raleigh D P, Creuzet F, et al. Theory and simulations of homonuclear spin pair systems in rotating solids[J]. The Journal of Chemical Physics, 1990, 92: 6 347-6 364.
    [4]
    Ernst M, Samoson A, Meier B H. Decoupling and recoupling using continuous-wave irradiation in magic-angle-spinning solid-state NMR: A unified description using bimodal Floquet theory[J]. The Journal of Chemical Physics, 2005, 123: 064102.
    [5]
    Bryce D L, Wasylishen R E. Encyclopedia of Spectroscopy and Spectrometry[M]. New York: Academic Press, 2010.
    [6]
    Brinkmann A, Levitt M H. Symmetry principles in the NMR of spinning solids: Heteronuclear recoupling by generalized Hartmann-Hahn sequences[J]. The Journal of Chemical Physics, 2001, 115:357-384.
    [7]
    Uto T, Takeda K, Kitagawa M. Controlled operation by solid-state NMR based on dipolar recoupling under magic angle spinning[EB/OL]. [2014-04-25]. http://qci.is.s.u-tokyo.ac.jp/qci/eqis03/program/posters/P613-Uto.pdf
    [8]
    Bak M, Rasmussen J T, Nielsen N C. SIMPSON: A general simulation program for solid-state NMR spectroscopy[J]. Journal for Magnetic Resonance, 2000, 146: 296-330.
    [9]
    Edén M. Computer simulations in solid-state NMR.Ⅰ. Spin dynamics theory[J]. Concepts in Magnetic Resonance Part A, 2003, 17A(1): 117-154.
    [10]
    Varshalovich D A, Moskalev A N, Khersonskii V K. Quantum Theory of Angular Momentum[M]. Singapore: World Scientific, 1988.
    [11]
    Herbehrlen U, Waugh J S. Coherent averaging effects in magnetic resonance[J]. Physical Review,1968, 175(2): 453-467.
    [12]
    Madi Z L, Brüschweiler R, Ernst R R. One- and two-dimensional ensemble quantum computing in spin Liouville space[J]. J Chem Phys, 1998, 109: 10 603-10 611.
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