The European Physical Journal D

, Volume 65, Issue 1–2, pp 207–217 | Cite as

State-dependent lattices for quantum computing with alkaline-earth-metal atoms

  • A. J. DaleyEmail author
  • J. Ye
  • P. Zoller
Regular Article Ultracold atoms in confined geometries


Recent experimental progress with Alkaline-Earth atoms has opened the door to quantum computing schemes in which qubits are encoded in long-lived nuclear spin states, and the metastable electronic states of these species are used for manipulation and readout of the qubits. Here we discuss a variant of these schemes, in which gate operations are performed in nuclear-spin-dependent optical lattices, formed by near-resonant coupling to the metastable excited state. This provides an alternative to a previous scheme [Phys. Rev. Lett. 101, 170504 (2008)], which involved independent lattices for different electronic states. As in the previous case, we show how existing ideas for quantum computing with Alkali atoms such as entanglement via controlled collisions can be freed from important technical restrictions. We also provide additional details on the use of collisional losses from metastable states to perform gate operations via a lossy blockade mechanism.


87Sr Rabi Frequency Qubit State Alkali Atom Gate Operation 


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  1. 1.
    J. Ye, H.J. Kimble, H. Katori, Science 320, 1734 (2008)ADSCrossRefGoogle Scholar
  2. 2.
    M. Takamoto, F.-L. Hong, R. Higashi, H. Katori, Nature 435, 3215 (2005)CrossRefGoogle Scholar
  3. 3.
    M.M. Boyd, A.D. Ludlow, S. Blatt, S.M. Foreman, T. Ido, T. Zelevinsky, J. Ye, Phys. Rev. Lett. 98, 083002 (2007)ADSCrossRefGoogle Scholar
  4. 4.
    A.D. Ludlow, T. Zelevinsky, G.K. Campbell, S. Blatt, M.M. Boyd, M.H.G. de Miranda, M.J. Martin, J.W. Thomsen, S.M. Foreman, J. Ye, T.M. Fortier, J.E. Stalnaker, S.A. Diddams, Y. Le Coq, Z.W. Barber, N. Poli, N.D. Lemke, K.M. Beck, C.W. Oates, Science 319, 1805 (2008)ADSCrossRefGoogle Scholar
  5. 5.
    M.M. Boyd, High Precision Spectroscopy of Strontium in an Optical Lattice: Towards a New Standard for Frequency and Time, Ph.D. thesis, University of Colorado, 2007Google Scholar
  6. 6.
    Y. Takasu, K. Maki, K. Komori, T. Takano, K. Honda, M. Kumakura, T. Yabuzaki, Y. Takahashi, Phys. Rev. Lett. 91, 040404 (2003)ADSCrossRefGoogle Scholar
  7. 7.
    T. Fukuhara, Y. Takasu, M. Kumakura, Y. Takahashi, Phys. Rev. Lett. 98, 030401 (2007)ADSCrossRefGoogle Scholar
  8. 8.
    S. Taie, Y. Takasu, S. Sugawa, R. Yamazaki, T. Tsujimoto, R. Murakami, Y. Takahashi, Phys. Rev. Lett. 105, 190401 (2010)ADSCrossRefGoogle Scholar
  9. 9.
    S. Kraft, F. Vogt, O. Appel, F. Riehle, U. Sterr, Phys. Rev. Lett. 103, 130401 (2009)ADSCrossRefGoogle Scholar
  10. 10.
    S. Stellmer, M.K. Tey, B. Huang, R. Grimm, F. Schreck, Phys. Rev. Lett. 103, 200401 (2009)ADSCrossRefGoogle Scholar
  11. 11.
    Y.N. Martinez de Escobar, P.G. Mickelson, M. Yan, B.J. DeSalvo, S.B. Nagel, T.C. Killian, Phys. Rev. Lett. 103, 200402 (2009)CrossRefGoogle Scholar
  12. 12.
    B.J. DeSalvo, M. Yan, P.G. Mickelson, Y.N. Martinez de Escobar, T.C. Killian, Phys. Rev. Lett. 105, 030402 (2010)ADSCrossRefGoogle Scholar
  13. 13.
    M.K. Tey, S. Stellmer, R. Grimm, F. Schreck, Phys. Rev. A 82, 011608 (2010)ADSCrossRefGoogle Scholar
  14. 14.
    A.J. Daley, M.M. Boyd, J. Ye, P. Zoller, Phys. Rev. Lett. 101, 170504 (2008)ADSCrossRefGoogle Scholar
  15. 15.
    A.V. Gorshkov, A.M. Rey, A.J. Daley, M.M. Boyd, J. Ye, P. Zoller, M.D. Lukin, Phys. Rev. Lett. 102, 110503 (2009)ADSCrossRefGoogle Scholar
  16. 16.
    D. Hayes, P.S. Julienne, I.H. Deutsch, Phys. Rev. Lett. 98, 070501 (2007)ADSCrossRefGoogle Scholar
  17. 17.
    I. Reichenbach, I.H. Deutsch, Phys. Rev. Lett. 99, 123001 (2007)ADSCrossRefGoogle Scholar
  18. 18.
    R. Blatt, D. Wineland, Nature 453, 1008 (2008)ADSCrossRefGoogle Scholar
  19. 19.
    D. Leibfried, R. Blatt, C. Monroe, D. Wineland, Rev. Mod. Phys. 75, 281 (2003)ADSCrossRefGoogle Scholar
  20. 20.
    W. Yi, A.J. Daley, G. Pupillo, P. Zoller, New J. Phys. 10, 073015 (2008)ADSCrossRefGoogle Scholar
  21. 21.
    K. Shibata, S. Kato, A. Yamaguchi, S. Uetake, Y. Takahashi, Appl. Phys. B Lasers Opt. 97, 753 (2009)ADSCrossRefGoogle Scholar
  22. 22.
    A. Derevianko, C.C. Cannon, Phys. Rev. A 70, 062319 (2004)ADSCrossRefGoogle Scholar
  23. 23.
    D. Jaksch, H.-J. Briegel, J.I. Cirac, C.W. Gardiner, P. Zoller, Phys. Rev. Lett. 82, 1975 (1999)ADSCrossRefGoogle Scholar
  24. 24.
    O. Mandel, M. Greiner, A. Widera, T. Rom, T.W. Hänsch, I. Bloch, Phys. Rev. Lett. 91, 010407 (2003)ADSCrossRefGoogle Scholar
  25. 25.
    M.A. Cazalilla, A.F. Ho, M. Ueda, New J. Phys. 11, 103033 (2009)ADSCrossRefGoogle Scholar
  26. 26.
    A.V. Gorshkov, M. Hermele, V. Gurarie, C. Xu, P.S. Julienne, J. Ye, P. Zoller, E. Demler, M.D. Lukin, A.M. Rey, Nature Phys. 6, 289 (2010)ADSCrossRefGoogle Scholar
  27. 27.
    M. Hermele, V. Gurarie, A.M. Rey, Phys. Rev. Lett. 103, 135301 (2009)ADSCrossRefGoogle Scholar
  28. 28.
    M. Foss-Feig, M. Hermele, A.M. Rey, Phys. Rev. A 81, 051603 (2010)ADSCrossRefGoogle Scholar
  29. 29.
    F. Gerbier, J. Dalibard, New J. Phys. 12, 033007 (2010)ADSCrossRefGoogle Scholar
  30. 30.
    M. Köhl, H. Moritz, T. Stöferle, K. Günter, T. Esslinger, Phys. Rev. Lett. 94, 080403 (2005)ADSCrossRefGoogle Scholar
  31. 31.
    L. Viverit, C. Menotti, T. Calarco, A. Smerzi, Phys. Rev. Lett. 93, 110401 (2004)ADSCrossRefGoogle Scholar
  32. 32.
    P. Rabl, A.J. Daley, P.O. Fedichev, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 91, 110403 (2003)ADSCrossRefGoogle Scholar
  33. 33.
    A. Griessner, A.J. Daley, D. Jaksch, P. Zoller, Phys. Rev. A 72, 032332 (2005)ADSCrossRefGoogle Scholar
  34. 34.
    K.D. Nelson, X. Li, D.S. Weiss, Nature Phys. 3, 556 (2007)ADSCrossRefGoogle Scholar
  35. 35.
    N. Gemelke, X. Zhang, C.-L. Hung, C. Chin, Nature 460, 995 (2009)ADSCrossRefGoogle Scholar
  36. 36.
    W.S. Bakr, J.I. Gillen, A. Peng, S. Fölling, M. Greiner, Nature 462, 74 (2009)ADSCrossRefGoogle Scholar
  37. 37.
    W.S. Bakr, A. Peng, M.E. Tai, R. Ma, J. Simon, J.I. Gillen, S. Fölling, L. Pollet, M. Greiner, Science 329, 547 (2010)ADSCrossRefGoogle Scholar
  38. 38.
    J.F. Sherson, C. Weitenberg, M. Endres, M. Cheneau, I. Bloch, S. Kuhr, Nature 467, 68 (2010)ADSCrossRefGoogle Scholar
  39. 39.
    C. Weitenberg, M. Endres, J.F. Sherson, M. Cheneau, P. Schauß, T. Fukuhara, I. Bloch, S. Kuhr, Nature 471, 319 (2011)ADSCrossRefGoogle Scholar
  40. 40.
    T. Gericke, P. Wrtz, D. Reitz, T. Langen, H. Ott, Nature Phys. 4, 949 (2008)ADSCrossRefGoogle Scholar
  41. 41.
    M. Karski, L. Frster, J.M. Choi, W. Alt, A. Widera, D. Meschede, Phys. Rev. Lett. 102, 053001 (2009)ADSCrossRefGoogle Scholar
  42. 42.
    M.M. Boyd, T. Zelevinsky, A.D. Ludlow, S. Blatt, T. Zanon-Willette, S.M. Foreman, J. Ye, Phys. Rev. A 76, 022510 (2007)ADSCrossRefGoogle Scholar
  43. 43.
    T. Zelevinsky, M.M. Boyd, A.D. Ludlow, T. Ido, J. Ye, R. Ciurylo, P. Naidon, P.S. Julienne, Phys. Rev. Lett. 96, 203201 (2006)ADSCrossRefGoogle Scholar
  44. 44.
    S. Blatt, T.L. Nicholson, B.J. Bloom, J.R. Williams, J.W. Thomsen, P.S. Julienne, J. Ye, arXiv 1104.0210Google Scholar
  45. 45.
    R. Yamazaki, S. Taie, S. Sugawa, Y. Takahashi, Phys. Rev. Lett. 105, 050405 (2010)ADSCrossRefGoogle Scholar
  46. 46.
    I. Reichenbach, P.S. Julienne, I.H. Deutsch, Phys. Rev. A 80, 020701 (2009)ADSCrossRefGoogle Scholar
  47. 47.
    D. Jaksch, J.I. Cirac, P. Zoller, S. Rolston, R. Côté, M.D. Lukin, Phys. Rev. Lett. 85, 2208 (2000)ADSCrossRefGoogle Scholar
  48. 48.
    R. Santra, C.H. Greene, Phys. Rev. Lett 67, 15 (2003)Google Scholar
  49. 49.
    V. Kokoouline, R. Santra, C.H. Greene, Phys. Rev. A 90, 253201 (2003)Google Scholar
  50. 50.
    A.J. Daley, J.M. Taylor, S. Diehl, M. Baranov, P. Zoller, Phys. Rev. Lett. 102, 040402 (2009)ADSCrossRefGoogle Scholar
  51. 51.
    M. Roncaglia, M. Rizzi, J.I. Cirac, Phys. Rev. Lett. 104, 096803 (2010)ADSCrossRefGoogle Scholar
  52. 52.
    M. Anderlini, P.J. Lee, B.L. Brown, J. Sebby-Strabley, W.D. Phillips, J.V. Porto, Nature 448, 452 (2007)ADSCrossRefGoogle Scholar
  53. 53.
    E. Urban, T.A. Johnson, T. Henage, L. Isenhower, D.D. Yavuz, T.G. Walker, M. Saffman, Nature Phys. 5, 110 (2009)ADSCrossRefGoogle Scholar
  54. 54.
    A. Gaëtan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, P. Grangier, Nature Phys. 5, 115 (2009)ADSCrossRefGoogle Scholar
  55. 55.
    C.W. Gardiner, J. Ye, H.C. Nagerl, H.J. Kimble, Phys. Rev. A 61, 045801 (2000)ADSCrossRefGoogle Scholar
  56. 56.
    T.A. Savard, K.M. O’Hara, J.E. Thomas, Phys. Rev. A 56, R1095 (1997)ADSCrossRefGoogle Scholar
  57. 57.
    M. Bishof, Y. Lin, M.D. Swallows, A.V. Gorshkov, J. Ye, A.M. Rey, Phys. Rev. Lett. 106, 250801 (2011)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Institute for Quantum Optics and Quantum Information of the Austrian Academy of SciencesInnsbruckAustria
  2. 2.Institute for Theoretical PhysicsUniversity of InnsbruckInnsbruckAustria
  3. 3.Department of Physics and AstronomyUniversity of PittsburghPittsburghUSA
  4. 4.JILA, National Institute of Standards and Technology and University of Colorado and Department of PhysicsUniversity of ColoradoBoulderUSA

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