Cancellation of unwanted interactions in a superconducting quantum architecture
A quantum circuit called a “qumon” is provided to cancel unwanted ZZ interaction in a superconducting qubit architecture. The qumon qubit has a high coherence, and a positive anharmonicity that may be tuned to cancel the negative anharmonicity in a coupled qubit, such as a transmon qubit. The qumon has three parallel branches, in which are a shunt capacitor; a Josephson junction having weighted energy level and capacitance; and several Josephson junctions in series. The weight is chosen to provide the desired anharmonicity, and the transverse flux noise and transverse charge noise each decrease in proportion to the number of the Josephson junctions in series. Because unwanted ZZ interactions are canceled, qumon qubits and transmon qubits may be capacitively coupled in an alternating pattern to provide a surface code in which these interactions are canceled in an extensible way.
1. A qubit comprising:
a capacitor;
a first Josephson junction in parallel with the capacitor; and
a plurality having a number N of second Josephson junctions in a series, the series of second Josephson junctions being in parallel with the capacitor and the first Josephson junction;
wherein the first Josephson junction has a junction energy that is a weight factor ε multiplied by a junction energy of one of the second Josephson junctions, and wherein F multiplied by N is less than 1, and
wherein the first Josephson junction has a junction capacitance that is F multiplied by the junction capacitance of one of the second Josephson junctions.
2. The qubit of claim 1 , wherein the number N of second Josephson junctions is at least 8.
3. The qubit of claim 2 , wherein the number N of second Josephson junctions is at least 16.
4. The qubit of claim 1 , wherein junction energies of each of the second Josephson junctions are equal to each other.
5. The qubit of claim 1 , wherein junction capacitances of each of the second Josephson junctions are equal to each other.
6. The qubit of claim 1 , wherein ε multiplied by N is greater than ⅓.
7. The qubit of claim 1 , further comprising a capacitively-coupled second qubit having a negative anharmonicity.
8. The qubit of claim 7 , wherein the qubit has a positive anharmonicity.
9. The qubit of claim 7 , further comprising a first terminal capacitively coupled to the qubit and a second terminal capacitively coupled to the second qubit.
10. The qubit of claim 7 , wherein the second qubit comprises a transmon qubit.
11. The qubit of claim 10 , wherein the transmon qubit is tunable.
12. The qubit of claim 1 , further comprising a plurality of other, capacitively-coupled qubits to thereby provide a surface code free of unwanted ZZ interactions.
13. The qubit of claim 12 , wherein the plurality of other qubits comprise at least one qubit according to claim 1 .
14. The qubit of claim 12 , wherein the plurality of other qubits comprise at least one transmon qubit.
15. A qubit comprising:
a capacitor;
a first Josephson junction in parallel with the capacitor; and
a plurality having a number N of second Josephson junctions in a series, the series of second Josephson junctions being in parallel with the capacitor and the first Josephson junction;
wherein the first Josephson junction has a junction energy that is a weight factor ε multiplied by a junction energy of one of the second Josephson junctions, and wherein ε multiplied by N is less than 1,
further comprising a capacitively-coupled second qubit having a negative anharmonicity.
16. The qubit of claim 15 , wherein the qubit has a positive anharmonicity.
17. The qubit of claim 15 , further comprising a first terminal capacitively coupled to the qubit and a second terminal capacitively coupled to the second qubit.
18. The qubit of claim 15 , wherein the second qubit comprises a transmon qubit.
19. The qubit of claim 18 , wherein the transmon qubit is tunable.
20. A qubit comprising:
a capacitor;
a first Josephson junction in parallel with the capacitor; and
a plurality having a number N of second Josephson junctions in a series, the series of second Josephson junctions being in parallel with the capacitor and the first Josephson junction;
wherein the first Josephson junction has a junction energy that is a weight factor ε multiplied by a junction energy of one of the second Josephson junctions, and wherein F multiplied by N is less than 1,
further comprising a plurality of other, capacitively-coupled qubits to thereby provide a surface code free of unwanted ZZ interactions.
21. The qubit of claim 20 , wherein the plurality of other qubits comprise at least one qubit according to claim 1 .
22. The qubit of claim 20 , wherein the plurality of other qubits comprise at least one transmon qubit.