PDF (double-sided) - Physics Department, UCSB - University of ...
PDF (double-sided) - Physics Department, UCSB - University of ... PDF (double-sided) - Physics Department, UCSB - University of ...
is desirable to modularize the control hardware (and software) such that the different channels are independently deployable copies of each other. Each channel then needs to provide a way to synchronize its signal stream to all other channels. This synchronization consists of two components: Not only do the signal streams need to start at the same time t = 0, they also need to progress at the same rate. The definition of a common starting time t = 0 is usually achieved by a trigger pulse for which the different channels wait before playing back their signal sequence. For this, the trigger pulse needs to be distributed to all channels. This can be done either by splitting the output of a single trigger source and distributing it to all channels or by a so-called “daisy chain” in which each channel forwards the trigger signal to the next. Usually, each channel needs to provide facilities to shift its specific definition of t = 0 by an offset ∆t that compensates for any delays in the arrival of the trigger pulse or any delays in the delivery of the channel’s output signal to the respective qubit. The calibration of this delay is best done with experiments run on the qubits. The type of experiment needed depends on the involved channels and the type of coupling element used and will be discussed below. Actively synchronizing the rate at which the different channels play back their signals is necessary since affordable clock sources do not natively provide the desired accuracy. Specifically, the inter-channel phase jitter in the clock signals 202
is of significant concern for reliable qubit operation. This is due to the fact that for rotations around axes in the X/Y-plane of the Bloch sphere, the angle of the rotation axis is determined by the phase of the signal. The common approach is to synchronizing the clocks with the use of a 10 MHz reference signal to which each channel locks a VCO (Voltage Controlled Oscillator) circuit to generate the clock frequency it needs for its operation. To achieve best possible phase locking between the microwave control signals on different channels, we currently use a single carrier signal that is split and distributed to the different channels. But this approach is only feasible for a small number of channels. Beyond that, the carrier signal generators will need to be chosen and synchronized with phase jitter in mind. 9.1.2 Flux Bias Crosstalk Unless the qubits’ integrated circuit is laid out perfectly, the magnetic field created by the flux bias coil of one qubit will also be seen by all other qubits, although to a much lesser degree. This leads to changes in the actual bias seen by the qubits and thus to changes of the operating parameters (reset bias, resonance frequency, etc.) found by calibrating the qubits independently from each other. Therefore, it is necessary to repeat the single qubit bringup experiments that lead to the parameters while putting all qubits through their motions as if the final 203
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- Page 216 and 217: Figure 8.7: Spectroscopy - a) Bias
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- Page 222 and 223: Figure 8.10: T 1 - a) Bias sequence
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is <strong>of</strong> significant concern for reliable qubit operation. This is due to the fact that<br />
for rotations around axes in the X/Y-plane <strong>of</strong> the Bloch sphere, the angle <strong>of</strong> the<br />
rotation axis is determined by the phase <strong>of</strong> the signal.<br />
The common approach is to synchronizing the clocks with the use <strong>of</strong> a 10 MHz<br />
reference signal to which each channel locks a VCO (Voltage Controlled Oscillator)<br />
circuit to generate the clock frequency it needs for its operation.<br />
To achieve<br />
best possible phase locking between the microwave control signals on different<br />
channels, we currently use a single carrier signal that is split and distributed to<br />
the different channels. But this approach is only feasible for a small number <strong>of</strong><br />
channels. Beyond that, the carrier signal generators will need to be chosen and<br />
synchronized with phase jitter in mind.<br />
9.1.2 Flux Bias Crosstalk<br />
Unless the qubits’ integrated circuit is laid out perfectly, the magnetic field<br />
created by the flux bias coil <strong>of</strong> one qubit will also be seen by all other qubits,<br />
although to a much lesser degree. This leads to changes in the actual bias seen by<br />
the qubits and thus to changes <strong>of</strong> the operating parameters (reset bias, resonance<br />
frequency, etc.) found by calibrating the qubits independently from each other.<br />
Therefore, it is necessary to repeat the single qubit bringup experiments that lead<br />
to the parameters while putting all qubits through their motions as if the final<br />
203