This paper presents a novel method to map the operator spreading of a Floquet system to the dynamics of an edge mode in a one-dimensional Floquet-ITFIM, enabling the construction of Floquet systems with desired edge mode properties.
This paper reveals a universal mapping between the stroboscopic dynamics of any Hermitian operator under Floquet evolution and the edge operator dynamics of an inhomogeneous Floquet transverse-field Ising model (ITFIM) in one spatial dimension, regardless of the original system's spatial dimension or local Hilbert space.