论文标题
通过最可能的路径在嘈杂环境中的量子态度制备控制
Quantum state-preparation control in noisy environment via most-likely paths
论文作者
论文摘要
寻找开放量子系统的最佳控制需要考虑到不必要的环境噪声的影响。由于通常未知噪声的实际实现或状态，因此对量子系统的脱碳动力学的通常处理是通过Lindblad Master方程式进行的，从本质上讲，该方程式描述了该系统状态受未知噪声影响的系统状态的平均演化（平均路径）。我们在这里考虑了受噪声影响的开放量子系统的替代视图，可以将平均动力学分解为假设的噪声量子轨迹，并根据噪声发生的可能性提出针对状态预先准备问题的新控制策略。我们采用最明显的路径技术来进行量子状态准备，为噪声变量构建一个随机路径积分，并找到与最明显的噪声相关的控制功能以实现目标状态。作为概念的证明，我们将方法应用于静态噪声下的Qubit-State制剂，并通过分析求解受控的Rabi驱动器的任意目标状态。由于该方法是根据噪声的概率构建的，因此我们还引入了忠诚成功率，作为对状态准备的新量度，并基于我们对现有的均值路径方法最明显的路径控制。
Finding optimal controls for open quantum systems needs to take into account effects from unwanted environmental noise. Since actual realizations or states of the noise are typically unknown, the usual treatment for the quantum system's decoherence dynamics is via the Lindblad master equation, which in essence describes an average evolution (mean path) of the system's state affected by the unknown noise. We here consider an alternative view of a noise-affected open quantum system, where the average dynamics can be unravelled into hypothetical noisy quantum trajectories, and propose a new control strategy for the state-preparation problem based on the likelihood of noise occurrence. We adopt the most-likely path technique for quantum state-preparation, constructing a stochastic path integral for noise variables and finding control functions associated with the most-likely noise to achieve target states. As a proof of concept, we apply the method to a qubit-state preparation under a dephasing noise and analytically solve for controlled Rabi drives for arbitrary target states. Since the method is constructed based on the probability of noise, we also introduce a fidelity success rate as a new measure of the state preparation and benchmark our most-likely path controls against the existing mean-path approaches.
