Trapped ion architecture in a dilution refrigerator for use with superconducting qubit systems

1. A quantum computing system, comprising:

a dilution refrigerator comprising a plurality of chambers;

a trapped ion computing device comprising a first set of qubits anchored on a cold plate or a still flange in a given chamber of the plurality of chambers of the dilution refrigerator; and

a superconducting computing device comprising a second set of qubits that are superconducting inside the given chamber of the plurality of chambers of the dilution refrigerator,

wherein the second set of superconducting qubits are in a mixing chamber nested within the given chamber of the plurality of chambers, wherein:

the mixing chamber is at 10 to 20 mK, and

the given chamber is at 100 mK.

2. The system of claim 1 , wherein the mixing chamber further comprises filters and/or isolators coupled to the second set of superconducting qubits.

3. The system of claim 1 , wherein the plurality of chambers is nested and comprises:

an outer vacuum shield;

a second chamber nested in the outer vacuum shield;

a third chamber nested in the second chamber;

a fourth chamber nested in the third chamber;

a fifth chamber corresponding to the given chamber and nested in the fourth chamber; and

a sixth chamber corresponding to the mixing chamber.

4. The system of claim 3 , wherein:

the outer vacuum shield is an approximately 300 K shield;

the second chamber is an approximately 50 K shield;

the third chamber is an approximately 4 K shield;

the fourth chamber is an approximately 700 to 800 mK shield;

the fifth chamber is an approximately 100 mK shield; and

the sixth chamber is an approximately 10 to 20 mK shield.

5. The system of claim 1 , wherein the given chamber includes one or more optical fibers coupled to an ion trap of the ion computing device.

6. The system of claim 5 , wherein the ion computing device is housed in a copper (Cu) can.

7. The system of claim 6 , wherein the Cu can is operative to provide thermal and radiation shielding and includes one or more holes for optical fibers and an ion beam entrance.

8. The system of claim 5 , wherein the ion trap is anchored on the still flange inside a fourth chamber.

9. The system of claim 8 , wherein the still flange is at 700 to 800 mK.

10. The system of claim 5 , wherein the ion trap is anchored on a 4 K flange.

11. The method of claim 5 , wherein the ion trap is anchored on the cold plate of a fifth chamber.

12. A method, comprising:

providing a dilution refrigerator with a plurality of chambers;

housing a trapped ion computing device comprising a first set of qubits anchored on a cold plate or a still flange in a given chamber of the plurality of chambers of the dilution refrigerator;

providing a superconducting computing device comprising a second set of qubits that are superconducting inside the given chamber of the plurality of chambers of the dilution refrigerator; and

housing the second set of superconducting qubits in a mixing chamber nested within the given chamber of the plurality of chambers, wherein:

the mixing chamber is at 10 to 20 mK, and

the given chamber is at 100 mK.

13. The method of claim 12 , further comprising:

providing an outer vacuum shield of the dilution refrigerator at approximately 300 K;

operating a second chamber of the plurality of chambers with an approximately 50 K shield;

operating a third chamber of the plurality of chambers with an approximately 4 K shield;

operating a fourth chamber of the plurality of chambers with an approximately 700 to 800 mK shield;

operating a fifth chamber of the plurality of chambers with an approximately 100 mK cold plate shield; and

operating a sixth chamber of the plurality of chambers with an approximately 10 to 20 mK shield.

14. The method of claim 12 , further comprising, coupling an optical fiber to an ion trap of the ion computing device in the given chamber.

15. The method of claim 14 , further comprising:

housing the ion computing device in a copper (Cu) can operative for thermal and radiation shielding; and

providing one or more holes for optical fibers and an ion beam entrance.