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European Physical Journal D, Volume 13 , Issue 2 : 261-269(2001) https://doi.org/10.1007/s100530170275

Two-species Coulomb chains for quantum information

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  • ReceivedMay 19, 2000
  • PublishedJul 19, 2021
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Abstract


References

[1] P.K. Ghosh, Ion Traps (Clarendon Press, Oxford, 1995); H.J. Metcalf, P. van der Straten, Laser Cooling and Trapping (Springer, New York, 1999). Google Scholar

[2] Bluemel R., Chen J.M., Peik E., Quint W., Schleich W., Walther H., Bluemel R., Kappler C., Quint W., Walther H.. Nature, 1988, 334309 Google Scholar

[3] Itano W.M., Bollinger J.J., Tan J.N., Jelenkovic B., Huang X.-P., Wineland D.J., Drewsen M., Brodersen C., Hornaeker L., Hangst J.S., Schiffer J.P.. Science, 1998, 279686 Google Scholar

[4] Hasse R.W., Schiffer J.P., Dubin D.H., O'Neil T.M.. Ann. Phys., 1990, 203419 Google Scholar

[5] Cirac J.I., Zoller P.. Phys. Rev. Lett., 1995, 744091 Google Scholar

[6] D.F.V. James, arXiv: quant-ph/0003122. Google Scholar

[7] Mølmer K., Sørensen A.. Phys. Rev. Lett., 1999, 821835 Google Scholar

[8] An . Rev. Mod. Phys, 1998, 70685 Google Scholar

[9] Sackett C.A., Kielpinski D., King B.E., Langer C., Meyer V., Myatt C.J., Rowe M., Turchette Q.A., Itano W.M., Wineland D.J., Monroe C.. Nature, 2000, 404256 Google Scholar

[10] This was first proposed by the ion-trapping group at the Max-Planck Institute for Quantum Optics in Garching. See [14] and W. Lange et al., in preparation. Google Scholar

[11] Kielpinski D., King B.E., Myatt C.J., Sackett C.A, Turchette Q.A., Itano W.M., Monroe C., Wineland D.J., Zurek W.H.. Phys. Rev. A, 2000, 61032310 Google Scholar

[12] Cirac J.I.. Nature, 2000, 404579 Google Scholar

[13] Bowe P., Hornaeker L., Brodersen C., Drewsen M., Hangst J.S., Schiffer J.P.. Phys. Rev. Lett., 1999, 822071 Google Scholar

[14] Peik E., Abel J., Becker T., van Zanthier J., Walther H.. Phys. Rev. A, 1999, 60439 Google Scholar

[15] Diedrich F., Walther H.. Phys. Rev. Lett., 1987, 58203 Google Scholar

[16] H. Goldstein, Classical Mechanics, 2nd edn. (Addison-Wesley Publishing Company, U.S.A., 1980). Google Scholar

[17] The treatment here presented can be analogously extended to three-dimensions. For a discussion on the transverse motion we refer the reader to [11]. Google Scholar

[18] Here, we neglect the dipole-dipole interaction and focus on the regime where the inter-ionic distance is considerably larger than the wavelength of the light coupling to the internal transition. Google Scholar

[19] Steane A., James D.F.V.. Appl. Phys. B, 1997, 64623 Google Scholar

[20] Stenholm S.. Rev. Mod. Phys., 1986, 58699 Google Scholar

[21] Diedrich F., Berquist J.C., Itano W.M., Wineland D.J., Roos Th., Zeiger H., Rohde H.C.. Phys. Rev. Lett., 1989, 62403 Google Scholar

[22] Morigi G., Eschner J., Cirac J.I., Zoller P.. Phys. Rev. A, 1999, 593797 Google Scholar

[23] Note that ground state cooling can be achieved also in systems not strictly in the Lamb-Dicke regime, when the selective laser excitation of only one sideband of the motion is in general not possible (see []). On the other hand, present schemes for quantum logic gates which are scal- able to N ions are stricly based on the Lamb-Dicke regime assumption, see [6,7]. Google Scholar

[24] G. Morigi, Ph.D. thesis, University of Innsbruck, 1999. The equation is valid assuming that the eigenfrequencies of the system are sufficiently spaced, so that it is possible to excite selectively the red-sideband of one mode, while the other modes are well off-resonance. Google Scholar

[25] To be precise, the third order correction does not cause any energy shift in first order perturbation theory. However, here we are interested just to the order of magnitude of the perturbation, and this estimate suits to our purposes. Google Scholar

[26] A. Steane, C.F. Roos, D. Stevens, A. Mundt, D. Leibfried, F. Schmidt-Kaler, R. Blatt, arXiv: quant-ph/0003087. Google Scholar

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