耦合到传输线网络的超导微ubit 的麦克斯韦-薛定谔模型

IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC
Thomas E. Roth;Samuel T. Elkin
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引用次数: 0

摘要

在超导电路量子信息技术中,经典微波脉冲用于控制和测量量子比特状态。目前,这些微波脉冲的设计采用简单的理论或数值模型,无法解释量子比特状态如何改变所应用的微波脉冲的自洽相互作用。在这项工作中,我们提出了半经典麦克斯韦-薛定谔方法的公式和有限元时域离散化,用于描述超导量子比特电容耦合到一般传输线网络的自洽动力学。我们通过描述与可进行理论分析的系统中传子和通子量子比特的常见控制和测量方法相关的关键效应,验证了所提出的方法。我们的数值结果还凸显了包含自洽相互作用至关重要的情况。通过对微波进行经典处理,在许多不需要微波量子统计的情况下,我们的方法比全量子方法更有效。此外,当传输线系统被修改时,我们的方法不需要任何重新计算。未来,我们的方法可用于快速探索更广阔的设计空间,为超导量子比特寻找更有效的控制和测量协议。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Maxwell-Schrödinger Modeling of a Superconducting Qubit Coupled to a Transmission Line Network
In superconducting circuit quantum information technologies, classical microwave pulses are applied to control and measure the qubit states. Currently, the design of these microwave pulses uses simple theoretical or numerical models that do not account for the self-consistent interactions of how the qubit state modifies the applied microwave pulse. In this work, we present the formulation and finite element time domain discretization of a semiclassical Maxwell-Schrödinger method for describing these self-consistent dynamics for the case of a superconducting qubit capacitively coupled to a general transmission line network. We validate the proposed method by characterizing key effects related to common control and measurement approaches for transmon and fluxonium qubits in systems that are amenable to theoretical analysis. Our numerical results also highlight scenarios where including the self-consistent interactions is essential. By treating the microwaves classically, our method is substantially more efficient than fully-quantum methods for the many situations where the quantum statistics of the microwaves are not needed. Further, our approach does not require any reformulations when the transmission line system is modified. In the future, our method can be used to rapidly explore broader design spaces to search for more effective control and measurement protocols for superconducting qubits.
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来源期刊
CiteScore
4.30
自引率
0.00%
发文量
27
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