  Chiral edge states in quantum Hall effect are the paradigmatic example of the
quasi-particle with chirality. In even space-time dimensions, the
Nielsen-Ninomiya theorem strictly forbids the chiral states in physical
isolation. The exceptions to this theorem only occur in the presence of
non-locality, non-Hermiticity, or by embedding the system at the boundary of
the higher-dimensional bulk. In this work, using the IBM quantum computer
platform, we realize the floquet chiral quantum walk enabled by non-locality.
The unitary time evolution operator is described by the effective floquet
Hamiltonian with infinitely long-ranged coupling. We find that the chiral wave
packets lack the common features of the conventional wave phenomena such as
Anderson localization. The absence of localization is witnessed by the
robustness against the external perturbations. However, the intrinsic quantum
errors of the current quantum device give rise to the finite lifetime where the
chiral wave packet eventually disperses in the long-time limit. Nevertheless,
we observe the stability of the chiral wave by comparing it with the
conventional non-chiral model.
