Generating higher-order quantum dissipation from lower-order parametric processes

Abstract

Stabilization of quantum manifolds is at the heart of error-protected quantum\ninformation storage and manipulation. Nonlinear driven-dissipative processes\nachieve such stabilization in a hardware efficient manner. Josephson circuits\nwith parametric pump drives implement these nonlinear interactions. In this\narticle, we propose a scheme to engineer a four-photon drive and dissipation on\na harmonic oscillator by cascading experimentally demonstrated two-photon\nprocesses. This would stabilize a four-dimensional degenerate manifold in a\nsuperconducting resonator. We analyze the performance of the scheme using\nnumerical simulations of a realizable system with experimentally achievable\nparameters.\n