Adiabatic quantum computation with Rydberg-dressed atoms

We study an architecture for implementing adiabatic quantum computation with trapped neutral atoms. Ground-state atoms are dressed by laser fields in a manner conditional on the Rydberg blockade mechanism, thereby providing the requisite entangling interactions. As a benchmark, we study the performance of quantum annealing to the ground state of an Ising spin lattice. We model a proof-of-principle experiment in a realistic architecture, including details of the atomic implementation, with qubits encoded in the clock states of ¹³³Cs. Numerical simulation yields fidelities >0.98 for up to four qubits, and implementations of 10--20 qubits are within the range of current technology.