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Journal Article

How to Decompose Arbitrary Continuous-Variable Quantum Operations


van Loock,  Peter
van Loock Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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Sefi, S., & van Loock, P. (2011). How to Decompose Arbitrary Continuous-Variable Quantum Operations. PHYSICAL REVIEW LETTERS, 107(17): 170501. doi:10.1103/PhysRevLett.107.170501.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6973-8
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.