论文标题
沿任意轨迹行驶的量子状态
Quantum State Driving along Arbitrary Trajectories
论文作者
论文摘要
从无限形式的量子腕骨问题开始，我们解决了最小的时间和相应的时间依赖性的哈密顿量，以驱动沿任意预分配的轨迹有限的资源有限的纯量子状态。还表明，在所有可能的轨迹中，具有有限的资源，物理上易于访问，而不是。然后将溶液推广到混合量子状态病例，并应用于由具有离散或连续频谱的单个或多个参数参数化的轨迹。然后，我们将解决方案与抵绝热驾驶的解决方案进行比较，并显示浆果阶段如何直接参与两个驱动过程。
Starting with the quantum brachistochrone problem of the infinitesimal form, we solve the minimal time and corresponding time-dependent Hamiltonian to drive a pure quantum state with limited resources along arbitrary pre-assigned trajectories. It is also shown that out of all possible trajectories, with limited resources, which are physically accessible and which are not. The solution is then generalized to the mixed quantum state cases, and applied to trajectories parameterized by single or multiple parameters with discrete or continuous spectrum. We then compare the solution to that of the counterdiabatic driving, and show how the Berry phase is directly involved in both driving processes.
