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Resonator Spectroscopy in Qubit-Resonator Interaction Analysis

Resonator spectroscopy is a powerful tool for studying the interaction between qubits and resonators. By probing the resonator’s response across various frequencies, we can extract critical parameters, such as the resonant frequency and Q-factor, which are essential for optimizing qubit-resonator interactions.

Class: ResonatorSpectroscopyNode

The Resonator_Spectroscopy class is designed to conduct resonator spectroscopy for transmon qubits. It takes as input a dictionary of transmon qubits and their respective states.

Method: schedule

The schedule method generates a schedule to perform resonator spectroscopy. This process includes:

1. Clock Initialization: Initializes the clocks for each qubit based on the specified qubit state.
2. Qubit Reset: Resets the qubit to a known state.
3. Frequency Probing: Applies a square pulse at various frequencies.
4. Signal Measurement: Measures the response signal, capturing data on the resonator’s behavior.

Class: ResonatorSpectroscopyQubitAnalysis

The ResonatorSpectroscopyQubitAnalysis class is used for analyzing resonator spectroscopy data, enabling the extraction of the resonant frequency and Q-factor. This class takes as parameters:

• qubit_name: A string representing the qubit under measurement.
• redis_fields: The directory for data storage.

Method: analyse_qubit

The analyse_qubit method processes and fits the data to determine the resonator’s resonant frequency and loaded Q-factor. The analyse_qubitfit should resemble a negative Gaussian distribution.

Output: xarray.Dataset

The dataset returned by this analysis is an xarray.Dataset, which includes:

• Frequency Sweep Data: The set of frequencies used during the sweep.
• Transmission Response: The measured response of the resonator at each frequency.

This dataset provides essential insights into the resonator’s properties, allowing for precise tuning of qubit-resonator interactions.

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