Frequency arrangement for surface code on a superconducting lattice
View Patent ↗A device lattice arrangement including a plurality of devices, a plurality of physical connections for the plurality of devices, wherein each of the plurality of devices are coupled to at least two of the plurality of physical connections, a plurality of identity labels associated with individual devices of the plurality of devices and an arrangement of identity labels such that pairs of devices of the plurality of devices connected by some number of the plurality of connections have different identity labels.
1. A device lattice arrangement, comprising:
a plurality of devices;
a plurality of physical connections for the plurality of devices, wherein each of the plurality of devices are coupled to at most two of the plurality of physical connections;
a plurality of identity labels associated with individual devices of the plurality of devices; and
an arrangement of identity labels such that pairs of devices of the plurality of devices connected by some number of the plurality of connections have different identity labels;
wherein a four data device group of the plurality of devices are arranged in a trapezoidal shape such that at most two of the plurality of physical connections are coupled to any one data device in the four data device group of the plurality of devices; and
wherein one ancilla device is positioned in a middle of the trapezoidal shape to measure a parity of the four data device group of the plurality of devices.
2. The arrangement as claimed in claim 1 wherein each of the plurality of devices are controllably coupled to other devices of the plurality of devices along a physical connection of the plurality of physical connections.
3. The arrangement as claimed in claim 1 wherein each device of the plurality of devices is controllably coupled to other devices of the plurality of devices along a physical connection provided by devices of the plurality of devices having different identity labels.
4. The arrangement as claimed in claim 1 wherein a first subgroup of the plurality of devices is data devices.
5. The arrangement as claimed in claim 4 wherein a second subgroup of the plurality of devices is ancilla devices.
6. The arrangement as claimed in claim 5 wherein each of the plurality of data devices are controllably coupled to a neighboring group of the ancilla devices.
7. The arrangement as claimed in claim 1 wherein each identity label is unique from other identity labels.
8. The arrangement as claimed in claim 1 wherein a total number of identity labels are five.
9. The arrangement as claimed in claim 1 wherein a total number of identity labels are eight.
10. The arrangement as claimed in claim 1 wherein a total number of identity labels are nine.
11. The arrangement as claimed in claim 1 and wherein the identity label is a superconducting qubit frequency.
12. The arrangement as claimed in claim 1 and wherein the device is a qubit.
13. The arrangement as claimed in claim 1 wherein the device is a superconducting qubit.
14. The arrangement of claim 6 wherein the data and ancilla devices wherein the plurality of data qubits and the plurality of ancilla qubits are arranged as a skew-square lattice.
15. The arrangement of claim 6 wherein the plurality of data devices and the plurality of ancilla devices are arranged as a square lattice.
16. The arrangement and arrangements as claimed in claim 6 wherein the coupling between devices is a two-qubit entangling operation.
17. The arrangement as claimed in claim 16 wherein the two-qubit entangling operation is a controlled-NOT.
18. A superconducting qubit surface code system, comprising:
a first plurality of superconducting qubits;
a second plurality of superconducting qubits; and
a plurality of resonators coupling the first and second plurality of superconducting qubits, wherein each of the plurality of first and second plurality of superconducting qubits includes an identity label;
wherein a four data device group of the first plurality of devices are arranged in a trapezoidal shape such that at most two of the plurality of resonators are coupled to any one data device in the four data device group of the first plurality of devices; and
wherein one ancilla device is positioned in a middle of the trapezoidal shape to measure a parity of the four data device group of the first plurality of devices.
19. The system as claimed in claim 18 wherein the first and second plurality of superconducting qubits is mapped as a surface code onto a lattice.
20. The system as claimed in claim 18 wherein the identity label is a superconducting qubit frequency.
21. The system as claimed in claim 20 wherein there are five distinct superconducting qubit frequencies.
22. The system as claimed in claim 20 wherein there are eight distinct superconducting qubit frequencies.
23. The system as claimed in claim 20 wherein there are nine distinct superconducting qubit frequencies.
24. The system as claimed in claim 20 wherein the coupling between superconducting qubits is a two-qubit entangling operation.
25. The system as claimed in claim 24 wherein the two-qubit entangling operation is the controlled-NOT.