Quantum-state synthesis of multi-mode bosonic fields: Preparation of   arbitrary states of 2-D vibrational motion of trapped ions
  We present a universal algorithm for an efficient deterministic preparation of an arbitrary two--mode bosonic state. In particular, we discuss in detail preparation of entangled states of a two-dimensional vibrational motion of a trapped ion via a sequence of laser stimulated Raman transitions. Our formalism can be generalized for multi-mode bosonic fields. We examine stability of our algorithm with respect to a technical noise. 
G. Drobny, B.Hladky and V. Buzek (Institute of Physics, Bratislava)