  We demonstrate three-dimensional trapping of individual Rydberg atoms in
holographic optical bottle beam traps. Starting with cold, ground-state
$^{87}$Rb atoms held in standard optical tweezers, we excite them to
$nS_{1/2}$, $nP_{1/2}$, or $nD_{3/2}$ Rydberg states and transfer them to a
hollow trap at 850 nm. For principal quantum numbers $60 \leqslant n \leqslant
90$, the measured trapping time coincides with the Rydberg state lifetime in a
300~K environment. We show that these traps are compatible with quantum
information and simulation tasks by performing single qubit microwave Rabi
flopping, as well as by measuring the interaction-induced, coherent
spin-exchange dynamics between two trapped Rydberg atoms separated by 40
$\mu$m. These results will find applications in the realization of
high-fidelity quantum simulations and quantum logic operations with Rydberg
atoms.
