标题： 费曼路径积分方法在超导量子比特和读出过程中的应用 显示英文标题

标题： Feynman Path Integral Approach on Superconducting Qubits and Readout Process

摘要： 在本文中，我们介绍了一种新的方法，利用量子力学和量子场论中的费曼路径积分概念，对超导量子比特中各种物理现象进行精确分析。 讨论了三个具体问题，我们主要致力于研究相位量子比特哈密顿量的伪基态的波函数和能量的虚部，并使用't Hooft瞬子模型的方法估计衰减率，从而得到亚稳态的寿命。 通过精确分析吉尔伯特-兰道自由能方程，考虑了倾斜梳状势能和相位量子比特的电流的修正。 同时，我们通过路径积分形式中的半经典近似，考虑实验误差的极限，比较WKB结果，评估电荷和通量量子比特中最准确的能量水平和波函数，最后，我们试图更具体地研究在添加相互作用哈密顿量后哈密顿量谱的演化，以获得高保真度的量子门。 显示英文摘要

摘要： In this paper we introduce a new procedure on precise analysis of various physical manifestations in superconducting Qubits using the concept of Feynman path integral in quantum mechanics and quantum field theory. Three specific problem are discussed, we devote the main efforts to studying the wave function and imaginary part of the energy of the pseudo ground state of the Hamiltonian in Phase Qubits and we estimate decay rate, and thus the life time of meta stable states using the approach of 't Hooft's Instantons model. Correction to the Tilted-Washboard potential and current of Phase Qubits by precise analysis of Ginzburg-Landau's free energy equation has been considered. Also we evaluate the most accurate value of energy levels and wave function in Charge and Flux Qubits by Semi classical approximation in path integral formalism by considering limits of experimental errors, comparing them with WKB results and finally, we try to study more specific the evolution of spectrum of Hamiltonian in time after addition of interaction Hamiltonian, in order to obtain the high fidelity quantum gates.