2010/10/31 by Seçkin Şefi, Seckin Sefi, Peter van Loock · 3 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Hamiltonian (control theory) #Hilbert space #Mathematical optimization #Mathematics #Neural Networks and Reservoir Computing #Open quantum system #Operator (biology) #Photonic and Optical Devices #Physics #Quantum #Quantum Information and Cryptography #Quantum capacity #Quantum computer #Quantum error correction #Quantum information #Quantum mechanics #Quantum network #Quantum operation #Unitary operator #Unitary transformation #quant-ph
paper · pdf · doi:10.1103/physrevlett.107.170501
published as Phys. Rev. Lett. 107, 170501 (2011) · Ver. 3: published version with supplementary material
openalex publication_date 2011/10/17 · arxiv created 2011/10/18 · arxiv updated 2011/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.