| CPC G06N 10/20 (2022.01) | 26 Claims |

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1. A quantum simulation method for solving a computational problem using a solid-state quantum system, the method comprising the steps of:
passing a laser through a material;
in the material, evolving at least some of a plurality of atoms in a first state into at least some of the plurality of atoms in a second state upon receiving energy from the laser to form at least one exciton;
selecting at least one exciton site on the material wherein the at least one exciton site is separated from a neighbouring at least one exciton site by a distance less than a Rydberg blockade radius;
mapping the computational problem into a problem Hamiltonian of the solid-state quantum system, wherein the problem Hamiltonian is a Hamiltonian comprising a plurality of adjustable parameters;
measuring at least a portion of a plurality of the at least one excitons to obtain a read-out of the solid-state quantum system;
determining a solution to the computational problem from the read-out;
determining a Rydberg frequency for each Rydberg level of the material, and wherein the material is selected from a group comprising materials with a substantially high binding energy for generating excitons, and
wherein the material is a 2D material comprising at least one of single-walled carbon nanotubes and transition metal dichalcogenaides (TMDCs).
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