title: How to decompose arbitrary continuous-variable quantum operations.
abstract: We present a general, systematic, and efficient method for decomposing any given exponential operator of bosonic mode operators, describing an arbitrary multimode Hamiltonian evolution, into a set of universal unitary gates. Although our approach is mainly oriented towards continuous-variable quantum computation, it may be used more generally whenever quantum states are to be transformed deterministically, e.g., in quantum control, discrete-variable quantum computation, or Hamiltonian simulation. We illustrate our scheme by presenting decompositions for various nonlinear Hamiltonians including quartic Kerr interactions. Finally, we conclude with two potential experiments utilizing offline-prepared optical cubic states and homodyne detections, in which quantum information is processed optically or in an atomic memory using quadratic light-atom interactions.
authors: Optical Quantum Information Theory Group, Max Planck Institute for the Science of Light, Günther-Scharowsky-Str.1/Bau 26, 91058 Erlangen, Germany. seckin.sefi@mpl.mpg.de
authors: Seckin
authors: S
authors: Sefi
authors: Peter
authors: P
authors: van Loock