Neutral atom quantum information processor
Systems and methods relate to arranging atoms into 1D and/or 2D arrays; exciting the atoms into Rydberg states and evolving the array of atoms, for example, using laser manipulation techniques and high-fidelity laser systems described herein; and observing the resulting final state. In addition, refinements can be made, such as providing high fidelity and coherent control of the assembled array of atoms. Exemplary problems can be solved using the systems and methods for arrangement and control of atoms.
1. A method comprising:
selectively arranging a plurality of atomic qubits into a spatial structure to encode a quantum computing problem, the spatial structure comprising a plurality of vertex qubits, wherein each vertex qubit corresponds to a vertex in the quantum computing problem, and wherein spatial proximity of the plurality of atomic qubits represents edges in the quantum computing problem;
initializing the plurality of atomic qubits into an initial state;
driving the plurality of atomic qubits into a final state by applying a sequence of resonant light pulses to at least some of the plurality of atomic qubits, wherein the final state comprises a solution to the quantum computing problem; and
measuring at least some of the plurality of atomic qubits in the final state.
2. The method of claim 1 , wherein the resonant light pulses have a variable detuning.
3. The method of claim 1 , wherein the resonant light pulses have a variable Rabi frequency.
4. The method of claim 1 , wherein the spatial structure comprises a one-dimensional or a two-dimensional array of qubits.
5. The method of claim 1 , wherein the encoded quantum computing problem comprises one or more of an unweighted maximum independent set problem, a maximum-weight independent set problem, a maximum clique problem, and a minimum vertex cover problem.
6. The method of claim 5 , wherein weights in the maximum-weight independent set problem are encoded by applying a different detuning for each vertex qubit.
7. The method of claim 5 , wherein the final state of the plurality of atomic qubits comprises one or more of a solution to the encoded unweighted maximum independent set problem, a solution to the encoded maximum-weight independent set problem, a solution to the encoded maximum clique problem, and a solution to the encoded minimum vertex cover.
8. The method of claim 1 , wherein the solution to the quantum computing problem comprises an approximate solution to the quantum computing problem.