We analyze the efficiency of protocols for adiabatic quantum state transfer assisted by an engineered reservoir. The target dynamics is a quantum trajectory in the Hilbert space and is a fixed point of a time-dependent master equation in the limit of adiabatic dynamics. We specialize to quantum state transfer in a qubit and determine the optimal schedule for a class of time-dependent Lindblad equations. The speed limit on state transfer is extracted from a physical model of a qubit coupled to a reservoir, from which the Lindblad equation is derived in the Born-Markov limit. Our analysis shows that the resulting efficiency is comparable to the efficiency of the optimal unitary dynamics. Numerical studies indicate that reservoir-engineered protocols could outperform unitary protocols outside the regime of the Born-Markov master equation, namely, when correlations between the qubit and reservoir become relevant. Our study contributes to the theory of shortcuts to adiabaticity for open quantum systems and to the toolbox of protocols of the NISQ era.

中文翻译：

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工程储层中的绝热量子轨迹


我们分析了工程储层辅助的绝热量子态转移协议的效率。目标动力学是希尔伯特空间中的量子轨迹，并且是绝热动力学极限下瞬态主方程的不动点。我们专注于量子位中的量子状态转移，并确定一类时间相关 Lindblad 方程的最佳调度。状态转移的速度限制是从与储存器耦合的量子位的物理模型中提取的，从中导出玻恩-马尔可夫极限中的 Lindblad 方程。我们的分析表明，所得效率与最佳单一动力学的效率相当。数值研究表明，当量子位和储层之间的相关性变得相关时，储层工程协议可以优于玻恩-马尔可夫主方程范围之外的单一协议。我们的研究为开放量子系统绝热捷径理论和 NISQ 时代协议工具箱做出了贡献。