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

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singlet state due to the extra factor <strong>of</strong> i, it nevertheless shows the same degree <strong>of</strong><br />

entanglement. Since the initial state <strong>of</strong> the qubit pair prepared by the source is<br />

not a condition used in the derivation <strong>of</strong> the Bell inequality, it is not <strong>of</strong> fundamental<br />

importance that the state created by the “particle source” yields qubit pairs<br />

in the Bell singlet state. In fact, depending on the specifics <strong>of</strong> the experiment’s<br />

imperfections, a different initial state might yield a higher S-value.<br />

Simulations and experiments show that imperfections in the state preparation<br />

caused by sweeping the qubits on or <strong>of</strong>f resonance are more detrimental to the<br />

value <strong>of</strong> S than imperfections caused by an impaired π-pulse due to the qubits<br />

being coupled during the pulse. Thus, it turns out to be beneficial for the outcome<br />

and the simplicity <strong>of</strong> the experiment to begin the sequence with both qubits<br />

immediately on resonance and applying the π-pulse while the coupling is on.<br />

This works due to the fact that the π-pulse is shorter than the time-scales <strong>of</strong> the<br />

coupling operation. The final entangling sequence for the qubit pair source using<br />

always-on capacitive coupling is shown in Figure 11.1a.<br />

11.1.3 Entangling the Qubits – Resonator Coupling<br />

The pair preparation using a resonator based coupling element requires a sequence<br />

that is slightly different from the simple capacitive coupling. This is due to<br />

the fact that the resonator can itself store excitations which impede the entangling<br />

241

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