  We show that the quantum dimer state on the Kagome lattice, which was
recently realized with high fidelity in a Rydberg quantum simulator [Semeghini
et al., Science 374, 6572 (2021)], offers a sufficient resource for universal
measurement-based quantum computations. In particular, we provide an efficient
encoding of logical qubits in this state, and give explicit measurement
sequences that implement a universal set of gates on these qubits. Since the
building blocks of the proposed measurements have already been experimentally
implemented, our work highlights one possible path towards promoting Rydberg
simulators to universal quantum computers relying on the measurement-based
model of quantum computation with currently existing technology.
