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

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picking the “operating branch”, i.e. the potential minimum in which the qubit<br />

state will reside during operations. Here, for example, we can choose the branch<br />

that extends from V Bias ≈ −2.4 V to V Bias ≈ −0.3 V. The qubit is reset into<br />

this branch by biasing it to a point V Reset at which the operating branch is the<br />

only minimum <strong>of</strong> the potential, e.g. V Reset = −1.35 V. If the qubit is held at this<br />

bias for a time t Reset ≫ T 1 , its state will decay into the operating branch with<br />

certainty.<br />

To maximize the non-linearity during operation, i.e. the difference in energy<br />

spacing <strong>of</strong> the lowest levels in the operating minimum, the qubit is biased close to<br />

the “end” <strong>of</strong> the operating branch, i.e. to a point where the operating minimum<br />

becomes very shallow, for example around V Operate ≈ −0.3 V. This is necessary<br />

so that the lowest two energy levels in the minimum can be addressed exclusively<br />

as described in Chapter 3.3.<br />

To measure the qubit, the excited state (| 1 〉) will be selectively tunneled out<br />

<strong>of</strong> the operating branch as described in Section 8.5 into the neighboring branch –<br />

here, the branch that extends from V Bias ≈ −1.2 V to V Bias ≈ −1.0 V. The qubit<br />

is then biased to the point V Readout where the depth <strong>of</strong> the two potential minima<br />

is maximized, e.g. V Readout = −0.75 V. This maximizes the barrier height between<br />

the two minima to reduce the chance <strong>of</strong> the qubit state tunneling between the<br />

minima by accident.<br />

181

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