Operating a coupler device to perform quantum logic gates
US-10056908-B2 · Aug 21, 2018 · US
US11677402B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-11677402-B2 |
| Application number | US-202117410042-A |
| Country | US |
| Kind code | B2 |
| Filing date | Aug 24, 2021 |
| Priority date | Jun 19, 2017 |
| Publication date | Jun 13, 2023 |
| Grant date | Jun 13, 2023 |
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In a general aspect, a quantum logic gate is performed in a quantum computing system. In some cases, a pair of qubits are defined in a quantum processor; the pair of qubits can include a first qubit defined by a first qubit device in the quantum processor and a second qubit defined by a tunable qubit device in the quantum processor. A quantum logic gate can be applied to the pair of qubits by communicating a control signal to a control line coupled to the tunable qubit device. The control signal can be configured to modulate a transition frequency of the tunable qubit device at a modulation frequency, and the modulation frequency can be determined based on a transition frequency of the first qubit device.
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What is claimed is: 1. A quantum information control method comprising: generating a control signal configured to modulate, at a modulation frequency, a transition frequency of a tunable qubit device in a quantum processor, the modulation frequency being determined based on a transition frequency of a fixed-frequency qubit device in the quantum processor, the transition frequency of the fixed-frequency qubit device being independent of a magnetic flux experienced by the fixed-frequency qubit device; and applying a two-qubit quantum logic gate to a pair of qubits in the quantum processor by communicating the control signal to a control line coupled to the tunable qubit device, the pair of qubits comprising a first qubit defined by the fixed-frequency qubit device and a second qubit defined by the tunable qubit device, wherein applying the two-qubit quantum logic gate to the pair of qubits comprises one of the following: applying an iSWAP gate to the pair of qubits; applying a square-root-of-iSWAP gate to the pair of qubits; applying a controlled-Z gate to the pair of qubits; or applying a Bell-Rabi gate to the pair of qubits. 2. The method of claim 1 , comprising determining the modulation frequency based on the sum or the difference of: the transition frequency of the tunable qubit device, and the transition frequency of the fixed-frequency qubit device. 3. The method of claim 1 , wherein the modulation frequency is determined based on the transition frequency of the fixed-frequency qubit device and the transition frequency of the tunable qubit device. 4. The method of claim 1 , wherein the modulation frequency is determined based on the transition frequency of the fixed-frequency qubit device and the anharmonicity of the tunable qubit device. 5. The method of claim 1 , wherein the modulation frequency is determined based on the transition frequency between the ground state and first excited state of the fixed-frequency qubit device. 6. The method of claim 1 , wherein the modulation frequency is determined based on the transition frequency between the first excited state and second excited state of the fixed-frequency qubit device. 7. The method of claim 1 , wherein applying the two-qubit quantum logic gate to the pair of qubits comprises applying an iSWAP gate to the pair of qubits. 8. The method of claim 7 , wherein the control signal is configured to modulate the transition frequency of the tunable qubit device at the modulation frequency with a modulation amplitude ow, and the control signal is configured to produce an interaction between the tunable qubit device and the fixed-frequency qubit device for a total interaction time t i S W A P ( 1 ) = π 2 1 g | J 1 ( δ ω / ω m ) | , where g represents a capacitive coupling strength between the tunable qubit device and the fixed-frequency qubit device, J 1 represents a first-order Bessel function of the first kind, and ω m represents the modulation frequency. 9. The method of claim 1 , wherein applying the two-qubit quantum logic gate to the pair of qubits comprises applying a square-root-of-iSWAP gate to the pair of qubits. 10. The method of claim 9 , wherein the control signal is configured to modulate the transition frequency of the tunable qubit device at the modulation frequency with a modulation amplitude ow, and the control signal is configured to produce an interaction between the tunable qubit device and the fixed-frequency qubit device for a total interaction time t i S W A P ( 1 ) = π 4 1 g J 1 ( δ ω / ω m , ) , where g represents a capacitive coupling strength between the tunable qubit device and the fixed-frequency qubit device, J 1 represents a first-order Bessel function of the first kind, and ω m represents the modulation frequency. 11. The method of claim 1 , comprising generating the control signal to modulate the transition frequency of the tunable qubit device about a reference frequency ω T 01 at the modulation frequency ω m =| ω T 01 −ω F 01 |, where ω F 01 represents the transition frequency of the fixed-frequency qubit device. 12. The method of claim 1 , wherein applying the two-qubit quantum logic gate to the pair of qubits comprises applying a controlled-Z gate to the pair of qubits. 13. The method of claim
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