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首页> 外文期刊>IEEE Transactions on Automatic Control >Quantum Markovian Subsystems: Invariance, Attractivity, and Control
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Quantum Markovian Subsystems: Invariance, Attractivity, and Control

机译:量子马尔可夫子系统:不变性,吸引力和控制

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摘要

We characterize the dynamical behavior of continuous-time, Markovian quantum systems with respect to a subsystem of interest. Markovian dynamics describes a wide class of open quantum systems of relevance to quantum information processing, subsystem encodings offering a general pathway to faithfully represent quantum information. We provide explicit linear-algebraic characterizations of the notion of invariant and noiseless subsystem for Markovian master equations, under different robustness assumptions for model-parameter and initial-state variations. The stronger concept of an attractive quantum subsystem is introduced, and sufficient existence conditions are identified based on Lyapunov's stability techniques. As a main control application, we address the potential of output-feedback Markovian control strategies for quantum pure state-stabilization and noiseless-subspace generation. In particular, explicit results for the synthesis of stabilizing semigroups and noiseless subspaces in finite-dimensional Markovian systems are obtained.
机译:我们表征了一个连续时间的马尔可夫量子系统相对于感兴趣的子系统的动力学行为。马尔可夫动力学描述了与量子信息处理相关的各种开放式量子系统,子系统编码提供了忠实地表示量子信息的一般途径。在模型参数和初始状态变化的不同鲁棒性假设下,我们为Markovian主方程式提供了不变和无噪声子系统概念的显式线性代数表征。引入了更具吸引力的量子子系统的更强概念,并基于Lyapunov的稳定性技术确定了足够的存在条件。作为一种主要的控制应用,我们解决了输出反馈马尔可夫控制策略在量子纯态稳定和无噪声子空间生成中的潜力。特别是,获得了在有限维马尔可夫系统中合成稳定半群和无噪声子空间的明确结果。

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