论文标题
通过几何形式主义对旋转状态的强大种群转移
Robust population transfer of spin states by geometric formalism
论文作者
论文摘要
未耦合或弱耦合自旋状态的准确种群转移对于许多量子信息处理任务至关重要。在本文中，我们提出了一个快速，健壮的人群转移方案，该方案结合了基于不变的逆工程和几何形式主义，以进行稳健的量子控制。我们的计划不受绝热条件的限制，因此可以快速实施。它还可以有效地抑制自旋系统中的主要噪声，并与快速特征一起保证了人口转移的准确性。此外，我们方案中驾驶哈密顿量的控制参数很容易设计，因为它们对应于通过使用几何形式主义来实现强大量子控制的三维视觉空间曲线的曲率和扭转。我们通过在$^{15} $ n氮空位中心中模拟基本州人口转移，并将我们的方案与受刺激的拉曼过渡，刺激的拉曼绝热通道和常规快捷方式与基于绝热的计划（三种泛滥的人口转移方案）进行比较。数值结果清楚地表明，我们的方案比以前的方案有利。
Accurate population transfer of uncoupled or weakly coupled spin states is crucial for many quantum information processing tasks. In this paper, we propose a fast and robust scheme for population transfer which combines invariant-based inverse engineering and geometric formalism for robust quantum control. Our scheme is not constrained by the adiabatic condition and therefore can be implemented fast. It can also effectively suppress the dominant noise in spin systems, which together with the fast feature guarantees the accuracy of the population transfer. Moreover, the control parameters of the driving Hamiltonian in our scheme are easy to design because they correspond to the curvature and torsion of a three-dimensional visual space curve derived by using geometric formalism for robust quantum control. We test the efficiency of our scheme by numerically simulating the ground-state population transfer in $^{15}$N nitrogen vacancy centers and comparing our scheme with stimulated Raman transition, stimulated Raman adiabatic passage and conventional shortcuts to adiabaticity based schemes, three types of popularly used schemes for population transfer. The numerical results clearly show that our scheme is advantageous over these previous ones.
