标题： 基于0-$π$超导量子干涉器件的量子比特 显示英文标题

标题： Qubit based on 0-$π$ Josephson junctions

摘要： 我们研究0-$\pi$约瑟夫森结的静态特性，特别关注其在超导量子电路中的应用。 使用基于正弦-戈登方程的理论框架，我们分析了在不同边界和激励条件下0-$\pi$结的相位演化。 这些具有空间变化相位偏移的结，由于其固有的对称性和对抗退相干的潜在鲁棒性，为量子比特实现提供了有前景的配置。 我们探讨了与量子比特状态操控相关的能量景观、量化能级和切换动力学。 此外，我们提出了相位、通量和电荷量子比特设计的模型，强调其操作原理和读出机制。 这项工作为基于约瑟夫森结的量子比特工程提供了见解，并支持它们作为可扩展的量子信息处理组件的持续发展。 显示英文摘要

摘要： We investigate the static properties of 0-$\pi$ Josephson junctions, with particular emphasis on their application in superconducting quantum circuits. Using a theoretical framework based on the sine-Gordon equation, we analyze the phase evolution for 0-$\pi$ junctions under various boundary and excitation conditions. These junctions, characterized by spatially varying phase shifts, offer promising configurations for qubit implementations due to their intrinsic symmetry and potential robustness against decoherence. We explore the energy landscape, quantized levels, and switching dynamics relevant for qubit state manipulation. Additionally, we present models for phase, flux, and charge qubit designs, emphasizing their operational principles and readout mechanisms. This work provides insights into the engineering of Josephson-based qubits and supports their continued development as scalable components for quantum information processing.