PDF (double-sided) - Physics Department, UCSB - University of ...
PDF (double-sided) - Physics Department, UCSB - University of ... PDF (double-sided) - Physics Department, UCSB - University of ...
Figure 9.11: Resonator T 1 – a) Sequence: The second qubit is excited into the | 1 〉 state with a π-pulse (X π ). The qubit is brought on resonance with the resonator for the time needed for one full swap (S) to transfer the excitation into the resonator. There, the excitation is allowed to decay for a time t Delay . After, the first qubit is brought on resonance for the time needed for one full swap (S) to transfer the resonator state into the first qubit. Finally both qubits are measured (M). b) T 1 : The excitation in the resonator decays exponentially. source qubit and the resonator or between the resonator and the target qubit. The former will reproduce the dataset from above more faithfully as the latter will lead to some of the excitation sometimes remaining in the resonator at the end. Varying the length of the first swap pulse in the last used sequence will yield the familiar plot shown in Figure 9.10. 9.3.6 Resonator T 1 and T 2 To fully characterize the coupling, it is desirable in this case to also measure the resonator’s T 1 and T 2 . The T 1 can be easily measured by delaying the retrieval of the excitation from the resonator as shown in Figure 9.11. To measure the T 2 , 222
a Ramsey-type experiment needs to be conducted where a π -pulse prepares the 2 source qubit in a state in the X/Y-plane of the Bloch sphere. This state is then swapped into the resonator. After a variable delay t Ramsey , the state is retrieved with another swap operation and the result is interfered with another π 2 -pulse. The same concerns apply to the resulting data of this experiment as described for the single qubit case. 223
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a Ramsey-type experiment needs to be conducted where a π -pulse prepares the<br />
2<br />
source qubit in a state in the X/Y-plane <strong>of</strong> the Bloch sphere. This state is then<br />
swapped into the resonator. After a variable delay t Ramsey , the state is retrieved<br />
with another swap operation and the result is interfered with another π 2 -pulse.<br />
The same concerns apply to the resulting data <strong>of</strong> this experiment as described for<br />
the single qubit case.<br />
223