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PDF (double-sided) - Physics Department, UCSB - University of ...

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energy landscape (see Chapter 2.2.3) as a function <strong>of</strong> the applied flux bias DC bias .<br />

For this, the qubit is held at a given bias point for a time much longer than T 1 so<br />

that the qubit state has time to decay into the lowest energy state <strong>of</strong> one <strong>of</strong> the<br />

local minima <strong>of</strong> the potential. The δ-coordinate <strong>of</strong> the minimum then corresponds<br />

to a certain magnetic flux in the qubit loop and thus to a certain critical current<br />

<strong>of</strong> the readout squid. This critical current is then probed via the described squid<br />

bias current ramp and the switching time t Switch is recorded. This procedure is<br />

repeated many times each for various bias voltages V Bias to generate a scatter plot<br />

<strong>of</strong> the observed qubit states as a function <strong>of</strong> qubit bias as shown in Figure 8.2b,<br />

which we call “Squid Steps”.<br />

Since the choice <strong>of</strong> the local minimum into which the qubit state settles depends<br />

hysteretically on the biasing history, it is useful to take this data in two steps.<br />

First, the qubit is biased at the maximum negative bias V min before bringing it<br />

to the bias point <strong>of</strong> interest V Bias . Since the bias does not change instantaneously<br />

from V min to V Bias , this leads to the qubit state preferentially settling into the<br />

left-most local minimum at V Bias . To map out the right-most local minima as<br />

well, the qubit is then biased at the maximum positive bias V max before bringing<br />

it to V Bias . This sequence is shown in Figure 8.2a.<br />

The resulting scatter plot shows the location <strong>of</strong> the qubit potential’s minima<br />

as a function <strong>of</strong> the qubit bias V Bias . The qubit examined here shows bias regions<br />

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