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note
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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.
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19
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Among the recent issues on quantum information with ions, a new proposal based on arrays of ion microtraps has appeared in J.I. Cirac, P. Zoller, Nature 404, 579 (2000).
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note
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The treatment here presented can be analogously extended to three-dimensions. For a discussion on the transverse motion we refer the reader to [11].
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26
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0007396836
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note
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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.
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0007348135
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note
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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 [22]). On the other hand, present schemes for quantum logic gates which are scalable to TV ions are stricly based on the Lamb-Dicke regime assumption, see [6,7].
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35
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Ph.D. thesis, University of Innsbruck
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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.
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Morigi, G.1
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36
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0007434805
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note
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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.
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37
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A. Steane, C.F. Roos, D. Stevens, A. Mundt, D. Leibfried, F. Schmidt-Kaler, R. Blatt, arXiv: quant-ph/0003087.
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Blatt, R.7
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