How to decompose arbitrary continuous-variable quantum operations

Understand

We present a general, systematic, and efficient method for decomposing any given exponential operator of bosonic mode operators, describing an arbitrary multi-mode 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.