Four-body interactions in Kerr parametric oscillator circuits

We investigate four-body interactions in a Kerr parametric oscillator (KPO) circuit, which serves as a fundamental building block for a quantum annealer based on the Lechner-Hauke-Zoller scheme [1, 2, 3]. In this presentation, we introduce various types of KPO circuits that exhibit four-body interactions. Notably, such interactions can be realized without nonlinear couplers by leveraging KPO nonlinearities and circuit capacitance configurations, and the proposed circuits are scalable to large systems. Furthermore, we propose methods for experimentally determining the coupling constant and numerically analyzing oscillator and microwave drive parameters, based on the experimental setup established in our previous study [4].

 

[1] N. Sourlas, Phys. Rev. Lett. 94, 070601 (2005)

[2] W. Lechner, P. Hauke and P. Zoller, Sci. Adv. 1 (2015) no.9, 1500838

[3] S. Puri, C. K. Anderson, A. L. Grimsmo and A. Blais, Nature Commun. 8, (2017) no.1, 15785

[4] Y. Kawakami et al., APS Global Physics Summit 2025