论文标题
强大的绝热操作的数值工程
Numerical Engineering of Robust Adiabatic Operations
论文作者
论文摘要
绝热操作是在许多物理，化学和量子信息科学领域的稳健量子控制的强大工具。但是，在需要短演化时间的应用中，由于绝热而引起的固有鲁棒性可能会受到损害。我们提出了一种基于多功能梯度的优化协议，该协议将绝热控制与有效的汉密尔顿工程结合在一起，以设计量身定制的绝热操作，该操作是针对实验设置的特定缺陷和资源量身定制的。该协议的实用性是通过工程化的，具有磁共振的快速，2.3个狂犬循环的绝热脉冲，具有内置的鲁棒性对兔场的不均匀性和共振偏移。脉冲的性能和鲁棒性在固态样品上的纳米级实力检测磁共振实验中得到了验证，这表明$ \ sim 99.997 \％$的合奏倒置精度。我们通过为自旋旋转相互作用，参数选择性操作和连接任意状态的操作提供了坚固的绝热脉冲的示例，进一步展示了我们的协议的实用性，每种操作是由实验激励的。
Adiabatic operations are powerful tools for robust quantum control in numerous fields of physics, chemistry and quantum information science. The inherent robustness due to adiabaticity can, however, be impaired in applications requiring short evolution times. We present a single versatile gradient-based optimization protocol that combines adiabatic control with effective Hamiltonian engineering in order to design adiabatic operations tailored to the specific imperfections and resources of an experimental setup. The practicality of the protocol is demonstrated by engineering a fast, 2.3 Rabi cycle-long adiabatic inversion pulse for magnetic resonance with built-in robustness to Rabi field inhomogeneities and resonance offsets. The performance and robustness of the pulse is validated in a nanoscale force-detected magnetic resonance experiment on a solid-state sample, indicating an ensemble-averaged inversion accuracy of $\sim 99.997\%$. We further showcase the utility of our protocol by providing examples of adiabatic pulses robust to spin-spin interactions, parameter-selective operations and operations connecting arbitrary states, each motivated by experiments.
