G. Drobny et al., QUANTUM-STATE SYNTHESIS OF MULTIMODE BOSONIC FIELDS - PREPARATION OF ARBITRARY STATES OF 2-DIMENSIONAL VIBRATIONAL MOTION OF TRAPPED IONS, Physical review. A, 58(3), 1998, pp. 2481-2487
We present a universal algorithm for an efficient deterministic prepar
ation of an arbitrary two-mode bosonic state. In particular, we discus
s in detail preparation of entangled states of a two-dimensional Vibra
tional motion of a trapped ion via a sequence of laser-stimulated Rama
n transitions. Our formalism can be generalized for multimode bosonic
fields. We examine stability of our algorithm with respect to a techni
cal noise.