AI 中文总结
研究在电路量子电动力学中引入含克尔非线性的量子比特-玻色子混合分束器门，从cQED模型推导相互作用并获解析表达式，以碳纳米管电路QED为平台模拟验证，该混合原语为多体动力学提供构建块及新联系。
AI 中文摘要
我们引入了一种混合量子比特-玻色子分束器门，其中微波腔模式在克尔非线性存在的情况下与相互作用的双量子比特系统的交换修饰二能级子系统耦合。从一般的电路量子电动力学（cQED）模型出发，我们推导了相应的混合量子比特-腔相互作用，发展了其开放系统描述，包括光子和量子比特扇区浴诱导的耗散，并在弱耗散 regime 中获得了平均门保真度的解析表达式。我们进一步将碳纳米管电路 QED 确定为实现和控制该门的具体平台，提供了一个代表性的操作 regime，并进行了无噪声和有噪声的数值模拟，以研究门动力学并对解析结果进行基准测试。除了这种实现途径之外，所提出的混合原语为多体动力学提供了一个自然的构建块，包括量子细胞自动机（QCA）和晶格规范启发的架构，并且通过其碰撞模型重新表述，还暗示了与有噪声 QCA、非马尔可夫扩展和储能器式量子信息处理的联系。
英文摘要
We introduce a hybrid qubit-boson beam-splitter gate in which a microwave cavity mode couples to an exchange-dressed two-level subsystem of an interacting two-qubit system in the presence of Kerr nonlinearity. Starting from a general circuit quantum electrodynamics (cQED) model, we derive the corresponding hybrid qubit-cavity interaction, develop its open-system description including photon- and qubit-sector-bath-induced dissipation and obtain in the weak-dissipation regime an analytical expression for the average gate fidelity. We further identify carbon-nanotube circuit QED as a concrete platform for implementing and controlling the gate, provide a representative operating regime and perform noiseless and noisy numerical simulations to study the gate dynamics and benchmark the analytical results. Beyond this implementation route, the proposed hybrid primitive provides a natural building block for many-body dynamics, including quantum-cellular-automaton (QCA) and lattice-gauge-inspired architectures and, through its collision-model reformulation, also suggests connections to noisy QCA, non-Markovian extensions and reservoir-style quantum information processing.
