Optical control of qubits with spatial light modulators for quantum computing and quantum simulation

1. A system for the optical control of a quantum particle or qubit, the system comprising:

(a) a particle system configured to provide an ordered array comprising a multiplicity of quantum particles or a multiplicity of qubits;

(b) an optical source, the optical source configured to generate a beam of light;

(c) a spatial light modulator positioned along an optical train between the optical source and the ordered array, the spatial light modulator configured to project a structured illumination pattern capable of individually addressing one or more quantum particles or qubits of the ordered array; and

(d) a spatial light modulator controller, the spatial light modulator controller configured to modulate the structured illumination pattern,

wherein the spatial light modulator comprises a hologram projector and an intensity transmission mask.

2. The system of claim 1 , wherein the spatial light modulator comprises a segmented spatial light modulator having a first segment comprising the hologram projector and a second segment comprising the intensity transmission mask.

3. The system of claim 2 , wherein the hologram projector is configured to project a holographically-structured illumination pattern and the intensity transmission mask is configured to filter the first structured illumination pattern.

4. The system of claim 1 , wherein the spatial light modulator controller is configured to modulate the structured illumination pattern to:

(i) induce a qubit operation;

(ii) simultaneously address two or more quantum particles or qubits of the ordered array;

(iii) induce a change in a profile of the structured illumination pattern incident on the individually addressed one or more quantum particles or qubits;

(iv) correct an optical aberration;

(v) transport one or more quantum particles or qubits across the ordered array;

(vi) induce a quantum state transition in one or more quantum particles or qubits in the ordered array;

(vii) induce a change in a quantum state transition frequency in one or more quantum particles or qubits in the ordered array;

(viii) induce a phase shift in one or more quantum particles or qubits in the ordered array;

(ix) induce a rotation in one or more quantum particles or qubits in the ordered array; or

(x) any combination thereof.

5. The system of claim 4 , wherein the spatial light modulator controller is configured to modulate the structured illumination pattern to induce a change in a profile of the structured illumination pattern incident on the individually addressed one or more quantum particles or qubits.

6. The system of claim 4 , wherein the spatial light modulator controller is configured to modulate the structured illumination pattern to correct an optical aberration.

7. The system of claim 4 , wherein the wherein the spatial light modulator controller is configured to modulate the structured illumination pattern to induce a qubit operation.

8. The system of claim 1 further comprising an acousto-optic modulator, an electro-optic modulator, a detection device, or any combination thereof.

9. A quantum computing system comprising the system of claim 1 and further comprising a readout system for providing a quantum computation result,

wherein the ordered array comprises the multiplicity of qubits, and

wherein the spatial light modulator controller is configured to modulate the structured illumination pattern to induce a qubit operation.

10. A method for optically controlling a quantum particle or a qubit, the method comprising:

(a) generating, with an optical source, a beam of light;

(b) projecting, with a spatial light modulator positioned along an optical train between the optical source and an ordered array comprising a multiplicity of quantum particles or a multiplicity of qubits, a structured illumination pattern capable of individually addressing one or more quantum particles or qubits of the ordered array; and

(c) modulating, with a spatial light modulator controller, the structured illumination pattern,

wherein the wherein the spatial light modulator comprises a hologram projector and an intensity transmission mask.

11. The method of claim 10 , wherein the spatial light modulator comprises a segmented spatial light modulator having a first segment comprising the hologram projector and a second segment comprising the intensity transmission mask.

12. The method of claim 11 further comprising projecting, with the hologram projector, a holographically-structured illumination pattern and filtering, with the intensity transmission mask, the holographically-structured illumination pattern.

13. The method of claim 10 , wherein modulating the structured illumination pattern:

(i) induces a qubit operation;

(ii) simultaneously addresses two or more quantum particles or qubits of the ordered array;

(iii) induces a change in a profile of the structured illumination pattern incident on the individually addressed one or more quantum particles or qubits;

(iv) corrects an optical aberration;

(v) transports one or more quantum particles or qubits across the ordered array;

(vi) induces a quantum state transition in one or more quantum particles or qubits in the ordered array;

(vii) induces a change in a quantum state transition frequency in one or more quantum particles or qubits in the ordered array;

(viii) induces a phase shift in one or more quantum particles or qubits in the ordered array;

(ix) induces a rotation in one or more quantum particles or qubits in the ordered array; or

(x) any combination thereof.

14. The method of claim 13 , wherein the spatial light modulator controller is configured to modulate the structured illumination pattern to induce a change in a profile of the structured illumination pattern incident on the individually-addressed one or more quantum particles or qubits.

15. The method of claim 13 , wherein the spatial light modulator controller is configured to modulate the structured illumination pattern to correct an optical aberration.

16. The method of claim 13 , wherein modulating the structured illumination pattern induces a qubit operation.

17. The method of claim 16 , wherein the ordered array of quantum particles or qubits comprises at least two different neutral atoms and modulating the structured illumination pattern induces a qubit operation on one of the different neutral atoms.

18. A method for performing a quantum computation comprising the method of claim 10 and further comprising providing, with the readout system, a quantum computation result,

wherein the ordered array comprises the multiplicity of qubits, and

wherein modulating the structured illumination pattern induces a qubit operation.