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研究生： 張芷瑛
Chih-Ying Chang
論文名稱： Study of Qubit Dispersive Readout Optimization
指導教授： 陳永富
Yung-Fu Chen
口試委員:
學位類別： 碩士
Master
系所名稱： 理學院 - 物理學系
Department of Physics
論文出版年： 2023
畢業學年度： 111
語文別： 英文
論文頁數： 58
中文關鍵詞： 超導量子位元 、電路量子電動力學 、讀取優化 、跨閘量子位元
外文關鍵詞： Superconducting qubit, Circuit quantum electrodynamics, Readout Optimization, Transmon qubit
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    • 在量子計算領域中，精確地控制和讀取量子位元（qubits）是至關重要的。實現高保真度的讀取需要進行徹底的優化過程。在我們的研究中，我們專注於在超導電路框架內優化讀取過程。具體來說，我們設計了一個電容耦合到讀取諧振器的跨閘（transmon）量子位元，並精心選擇了參數來優化讀取條件。我們採用了色散讀取方案，其中量子位元狀態信息編碼在通過讀取諧振器的散射光中。通過優化讀取設置和條件，我們能夠高效準確地確定量子位元的狀態。

    In the field of quantum computing, precise control and readout of qubits are crucial. Achieving high-fidelity readout requires a thorough optimization procedure. In our study, we focus on optimizing the readout process within the framework of superconducting circuits. Specifically, we design a transmon qubit capacitively coupled to a readout resonator, with carefully chosen parameters to optimize the readout conditions. We employ a dispersive readout scheme, where the qubit-state information is encoded in the scattered light passing through the readout resonator. By optimizing the readout setup and conditions, we can efficiently and accurately determine the state of the qubit.

    Abstract ii Contents i List of Figures iii List of Tables v Glossary vi Acronym........................................ vi Symbol ........................................ vi 1 Introduction 1 2 Circuit QED 4 2.1 Quantum LC Circuit ............................... 5 2.2 Quarter Waveguide Resonator....................... 6 2.3 Superconducting Qubit............................. 9 2.3.1 Bloch Sphere .................................. 10 2.3.2 Josephson Junction............................. 11 2.3.3 Cooper Pair Box ............................... 13 2.3.4 Transmon ...................................... 14 2.4 circuit QED...................................... 17 2.4.1 Jaynes Cumming Model .......................... 18 2.4.2 Dispersive Coupled Regime ..................... 20 2.5 Qubit State Readout ............................. 23 3 Design and Experiment Setup ....................... 28 3.1 Layout Design.................................... 28 3.1.1 Readout Resonator.............................. 30 3.1.2 Xmon Qubit..................................... 31 3.1.3 Coupling Strength ............................. 32 3.2 Measurement Setup................................ 33 3.3 IQ demodulation ................................. 35 4 Experimental Result ............................... 37 4.1 Spectroscopy measurement......................... 38 4.1.1 One-tone spectroscopy ......................... 38 4.1.2 Two-tone spectroscopy.......................... 39 4.2 Puls measurement ................................ 42 4.2.1 Time Rabi and power Rabi ...................... 43 4.2.2 Readout Calibration ........................... 45 4.2.3 T1 relaxation ................................. 48 4.2.4 Ramsey fringe.................................. 48 4.2.5 Readout pulse time trace....................... 49 4.2.6 Single shot measurement........................ 50 5 Conclusion and Future Works ........................55 Bibliography..........................................56

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