  Quantum scars are special eigenstates of many-body systems that evade
thermalization. They were first discovered in the PXP model, a well-known
effective description of Rydberg atom arrays. Despite significant theoretical
efforts, the fundamental origin of PXP scars remains elusive. By investigating
the discretized dynamics of the PXP model as a function of the Trotter step
$\tau$, we uncover a remarkable correspondence between the zero- and
two-particle eigenstates of the integrable Floquet-PXP cellular automaton at
$\tau=\pi/2$ and the PXP many-body scars of the time-continuous limit.
Specifically, we demonstrate that PXP scars are adiabatically connected to the
eigenstates of the $\tau=\pi/2$ Floquet operator. Building on this result, we
propose a protocol for achieving high-fidelity preparation of PXP scars in
Rydberg atom experiments.
