Generating higher order quantum dissipation from lower order parametric processes

TL;DR

This paper proposes a method to engineer four-photon processes in superconducting resonators by cascading two-photon processes, aiming to stabilize quantum manifolds for error-protected quantum information storage.

Contribution

It introduces a scheme to generate higher-order quantum dissipation from lower-order processes using superconducting circuits, advancing quantum error correction techniques.

Findings

Numerical simulations show the scheme's feasibility with current experimental parameters.

The proposed method effectively stabilizes a four-dimensional quantum manifold.

The approach enhances the toolbox for quantum error correction in superconducting systems.

Abstract

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