论文标题
基于框架的滤波功能形式主义用于量子表征和控制
Frame-Based Filter-Function Formalism for Quantum Characterization and Control
论文作者
论文摘要
我们引入了一个理论框架，用于对非马克维亚开放量子系统的资源有效表征和控制，这自然可以整合给定，实验动机，控制能力和约束。这是通过基于框架的一般概念以及适当地将框架的选择与可用控制的选择绑定的传递滤波器功能形式主义来实现的。在将基于标准频率的滤波器功能形式主义作为特殊情况下，这种适应的概括提供了内在的灵活性，并且至关重要的是，如果遵守适当的有限尺寸框架条件，则可以有效地表示相关的控制矩阵元素和动态积分。我们基于框架的公式克服了现有方法的重要局限性。特别是，我们展示了如何在存在非组织噪声源的情况下实施量子噪声光谱，以及如何有效实现噪声优化预测和量子栅极设计的控制驱动驱动的模型。
We introduce a theoretical framework for resource-efficient characterization and control of non-Markovian open quantum systems, which naturally allows for the integration of given, experimentally motivated, control capabilities and constraints. This is achieved by developing a transfer filter-function formalism based on the general notion of a frame and by appropriately tying the choice of frame to the available control. While recovering the standard frequency-based filter-function formalism as a special instance, this control-adapted generalization affords intrinsic flexibility and, crucially, it permits an efficient representation of the relevant control matrix elements and dynamical integrals if an appropriate finite-size frame condition is obeyed. Our frame-based formulation overcomes important limitations of existing approaches. In particular, we show how to implement quantum noise spectroscopy in the presence of nonstationary noise sources, and how to effectively achieve control-driven model reduction for noise-optimized prediction and quantum gate design.
