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Automated Qubit Spectroscopy

Is there a qubit? If yes, what are its properties?

Qubit-Cavity Model

1. Cavity driven at resonance always
2. Drive qubit at a varying frequency _sensetive up to ~MHz

Remember: Qubit has GHz Frequency range (>> $k_bT$ much larger than room temperature photons). Use frequency units with care (angular frequency)

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Spectroscopy is hard to do perfectly. Variables: Power, time of measurement, exciting the qubit at a lower frequency?

Initial goals:

1. Using qutip, set up a quasi-realistic qubit-cavity model. Output is phase and amplitude from $a$. Add random Gaussian noise to the readout
2. Plot case for $P_{\text{cavity}} << 1$ photon and varying the power in the cavity versus qubit drive frequency (stack traces using colors for $P_{\text{cavity}}$)
3. Inspect number splitting (see Schuster thesis) if driving with more photons.