Physics – Quantum Physics
Scientific paper
2010-10-02
Phys. Rev. Lett. 107, 170501 (2011)
Physics
Quantum Physics
Ver. 3: published version with supplementary material
Scientific paper
10.1103/PhysRevLett.107.170501
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. 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.
Loock Peter van
Sefi Seckin
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