  The correspondence between exotic quantum holonomy that occurs in families of
Hermitian cycles, and exceptional points (EPs) for non-Hermitian quantum theory
is examined in quantum kicked tops. Under a suitable condition, an explicit
expressions of the adiabatic parameter dependencies of quasienergies and
stationary states, which exhibit anholonomies, are obtained. It is also shown
that the quantum kicked tops with the complexified adiabatic parameter have a
higher order EP, which is broken into lower order EPs with the application of
small perturbations. The stability of exotic holonomy against such bifurcation
is demonstrated.
