用优化的改进Roland-Cerf协议加速绝热通过
Speeding up adiabatic passage with an optimal modified Roland-Cerf protocol
摘要：
在这篇文章中，我们提出了一种新的方法来加速绝热通过在一个两能级系统中只有纵向场（失谐）控制，而横向场保持不变。建议的方法是修改的Roland-Cerf协议，在此期间，参数量化局部绝热性保持不变。在这里，我们表明，与一个简单的“开-关”调制这个局部绝热性参数，一个完美的绝热通道可以获得每个持续时间大于下限$π/Ω$，其中$Ω$是恒定的横向场。对于一个固定的最大幅度的局部绝热参数，“开-关”脉冲序列的时间，实现完美的保真度在最短的时间内使用最优控制理论。相应的失谐控制是连续的和单调的，与包括非单调跳跃的量子速度极限处的失谐变化相比，这是一个显著的优点。所提出的方法可以应用于量子计算中的几个重要核心任务，例如高保真度受控相位门的设计，其可以映射到这样的量子比特的绝热量子控制。此外，预计将在所有物理学科中找到利用这种两级系统的绝热控制的应用。
英文摘要：
In this article we propose a novel method to accelerate adiabatic passage in a two-level system with only longitudinal field (detuning) control, while the transverse field is kept constant. The suggested method is a modification of the Roland-Cerf protocol, during which the parameter quantifying local adiabaticity is held constant. Here, we show that with a simple ``on-off" modulation of this local adiabaticity parameter, a perfect adiabatic passage can be obtained for every duration larger than the lower bound $π/Ω$, where $Ω$ is the constant transverse field. For a fixed maximum amplitude of the local adiabaticity parameter, the timings of the ``on-off" pulse-sequence which achieves perfect fidelity in minimum time are obtained using optimal control theory. The corresponding detuning control is continuous and monotonic, a significant advantage compared to the detuning variation at the quantum speed limit which includes non-monotonic jumps. The proposed methodology can be applied in several important core tasks in quantum computing, for example to the design of a high fidelity controlled-phase gate, which can be mapped to the adiabatic quantum control of such a qubit. Additionally, it is expected to find applications across all Physics disciplines which exploit the adiabatic control of such a two-level system.
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