Adiabatic quantum computation with effective Hamiltonians

Adiabatic quantum computation (AQC) with Kerr-nonlinear parametric oscillators, or KPOs for short, has been proposed [1-3], which is called bifurcation-based AQC [1]. The Hamiltonian used there is an effective one in a rotating frame and in the rotating-wave approximation. This is a notable difference between this approach and standard AQC using real Hamiltonians. Based on this difference, here we propose a method to improve the performance of bifurcation-based AQC, which is not applicable to standard AQC using real Hamiltonians.
[1] H. Goto, Sci. Rep. 6, 21686 (2016).
[2] S. E. Nigg, N. Lörch, and R. P. Tiwari, Sci. Adv. 3, e1602273 (2017).
[3] S. Puri, C. K. Andersen, A. L. Grimsmo, and A. Blais, Nat. Commun. 8, 15785 (2017).