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Though we have considered the specific case of dots with equal exciton energies, a CPHASE gate can still be performed if the dots are nonresonant, provided that the laser tuning and intensity are suitably modified. In this case, the gate may take longer to perform.
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See, for example, R. Rinaldi, M. DeGiorgi, M. DeVittorio, A. Melcarne, P. Visconti, R. Cingolani, H. Lipsanen, M. Sopanen, T. Drufva, and J. Tulkki, Jpn. J. Appl. Phys. 40, 2002 (2001), although this experiment was not designed specifically for our purposes.
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