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Qubit-Coupled Mechanics - IFSC

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LC Circuit Read-out of <strong>Qubit</strong> vs. Applied B-field<br />

• LC response modulates<br />

periodically with applied<br />

magnetic field:<br />

E J ∝ cos (πΦ/Φ 0 )<br />

• Model parameters<br />

• E C = 1.3 GGG<br />

• E J = 12.7 GGG<br />

• λ/2π = 160 MMM<br />

• ω/2π = 1.945 GGG<br />

• General agreement with<br />

Jaynes-Cummings Model<br />

for qubit-coupled LC<br />

• Model Needs Improvement<br />

• Charge noise<br />

• Finite temperature<br />

LC Probe Frequency (GHz)<br />

LC Probe Frequency (GHz)<br />

1.96<br />

1.95<br />

1.94<br />

1.96<br />

1.95<br />

1.94<br />

___<br />

…….<br />

Amplitude<br />

Phase<br />

<strong>Coupled</strong> qubit & LC<br />

Uncoupled qubit &LC<br />

*fridge temperature ≲ 30 mK*<br />

-1.5 0.5 0.5 1.5<br />

Magnetic Flux (πΦ/Φ 0 )<br />

0.0<br />

-5.0<br />

-10.0<br />

1.0<br />

0.5<br />

0.0<br />

-0.5<br />

Transmission Amplitude (dB)<br />

Transmission Phase (rad.)

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