Generation of Four-Component Schr\"odinger Cat States via Floquet Engineering in a Hybrid Ferromagnet-Superconductor System

Abstract

Four-component Schr\"odinger cat (4C) states are important physical resources for fault-tolerant quantum computing. However, the generation of 4C states in solid-state platforms remains challenging due to stringent nonlinearity requirements. In this paper, a Floquet-engineering scheme is proposed for generating 4C states in a hybrid ferromagnet-superconductor system. Numerical simulations show that the high-fidelity 4C states can be generated even if the decoherence of the system is considered. These results provide a scalable route to multi-component cat-state engineering in solid-state platforms and open new avenues for quantum computation.