Fast quantum logic gates with trapped ions interacting with. external laser and quantized cavity field beyond the Lamb-Dicke regime

A scheme to implement quantum logic gates by manipulating trapped ions through interaction with monochromatic external laser field and quantized cavity field, beyond the Lamb-Dicke regime, is presented. Characteristic times, for implementing ionic state transitions using non-resont laser pulse or quantized cavity field, show a sharp decline for a relatively large Lamb-Dicke parameter value Of eta(L) = eta(c) = 0.2, and are seen to decrease further with increase in number of initial state vibrational quanta m. (C) 2003 Elsevier Science B.V. All rights reserved.3094179534535