System and method for quantum computation using symmetrical charge qubits

1. A quantum computing system for performing quantum computation, the system comprising:

at least one charge qubit, each qubit comprising a quantum dot assembly prepared with a symmetric charge distribution, wherein the symmetric charge distribution is configured to decouple the charge qubit from a charge noise source;

a controller for controlling the at least one charge qubit to perform a quantum computation; and

an output for providing a report generated using information obtained from the quantum computation performed.

2. The quantum computing system of claim 1 , wherein the quantum dot assembly comprises a first quantum dot, a second quantum dot, and a third quantum dot arranged collinearly.

3. The quantum computing system of claim 2 , wherein the second quantum dot is coupled to a qubit, a stripline, or a waveguide.

4. The quantum computing system of claim 2 , wherein the controller is further configured to define a localized state in the second quantum dot and a delocalized state with a symmetric superposition of charge in the first quantum dot and the third quantum dot.

5. The quantum computing system of claim 1 , wherein the quantum dot assembly comprises a first quantum dot, a second quantum dot, a third quantum dot, and a fourth quantum dot, wherein the second, third, and fourth quantum dots are arranged symmetrically about the first quantum dot and at 120 degree angles relative to the first quantum dot.

6. The quantum computing system of claim 1 , wherein the quantum dot assembly comprises a first quantum dot, a second quantum dot, a third quantum dot, a fourth quantum dot, and a fifth dot, wherein the second, third, fourth, and fifth quantum dots are arranged symmetrically about the first quantum dot and at 90 degree angles relative to the first quantum dot.

7. The quantum computing system of claim 1 , wherein the quantum dot assembly comprises at least one donor.

8. The quantum computing system of claim 1 , wherein the controller is further configured to perform the quantum computation by applying at least one of a pulsed gate, a resonant gate, or a combination thereof.

9. The quantum computing system of claim 1 , the system further comprising a readout circuitry configured to perform a readout of the at least one charge qubit.

10. The quantum computing system of claim 9 , wherein the readout circuitry comprises at least one charge sensor.

11. The quantum computing system of claim 1 , wherein the controller is further configured to prepare qubit states for the at least one charge qubit having different charge distributions and the same center of mass.

12. The quantum computing system of claim 1 , wherein the charge noise source comprises a dipolar charge noise source.

13. A method for performing quantum computation, the method comprising:

preparing a quantum dot assembly of a charge qubit with a symmetric charge distribution that is configured to decouple the charge qubit from a charge noise source;

controlling the charge qubit to perform a quantum computation;

performing a readout of the charge qubit following the quantum computation; and

generating a report using information obtained from the quantum computation performed.

14. The method of claim 13 , wherein the quantum dot assembly comprises a first quantum dot, a second quantum dot, and a third quantum dot arranged collinearly.

15. The method of claim 14 , wherein the method further comprises preparing a localized state in the second quantum dot and a delocalized state with a symmetric superposition of charge in the first quantum dot and the third quantum dot.

16. The method of claim 13 , wherein the method further comprises performing the quantum computation by applying at least one of a pulsed gate, a resonant gate, or a combination thereof.

17. The method of claim 13 , wherein performing the readout comprises determining, using least one charge sensor, a charge state of at least one dot in the quantum dot assembly.

18. The method of claim 13 , wherein the method further comprises preparing qubit states for the charge qubit having different charge distributions and the same center of mass.

19. A quantum computing system for performing quantum computation, the system comprising:

a charge qubit formed using a quantum dot assembly, wherein the quantum dot assembly is prepared with a symmetric charge distribution configured to decouple the charge qubit from a charge noise source;

a controller for controlling the charge qubit to perform a quantum computation; and

an output for providing a report generated using information obtained from the quantum computation performed.