论文标题
腕骨非绝热纯量子控制
Brachistochrone Non-Adiabatic Holonomic Quantum Control
论文作者
论文摘要
在量子控制中，几何操作可以为控制误差提供额外的鲁棒性。但是，传统的非绝热量子量子计算（NHQC）受到以下事实的限制：所有操作都需要完全相同的演化时间，即使对于小角度旋转也是如此。此外，NHQC将哈密顿量的驾驶部分限制在严格覆盖固定的脉冲区域，从而使其对控制误差敏感。在这里，我们提出了一种NHQC的非常规方法，称为Brachistochronic NHQC，用于绕过这些限制。具体而言，使用B-NHQC，可以通过遵循Brachistochrone曲线来超优化非亚伯的几何门，从而最大程度地减少环境反腐蚀的影响。此外，我们证明了B-NHQC与组成的脉冲兼容，这可以进一步增强针对脉冲误差的鲁棒性。对于基准测试，我们对在实验条件下B-NHQC的性能进行了详尽的分析。我们发现，与NHQC相比，栅极误差可以减少多达64％。
In quantum control, geometrical operations could provide an extra layer of robustness against control errors. However, the conventional non-adiabatic holonomic quantum computation (NHQC) is limited by the fact that all of the operations require exactly the same amount of evolution time, even for a small-angle rotation. Furthermore, NHQC confines the driving part of the Hamiltonian to strictly cover a fixed pulse area, making it sensitive to control errors. Here we present an unconventional approach of NHQC, termed brachistochronic NHQC, for bypassing these limitations. Specifically, with B-NHQC, non-Abelian geometric gates can be time-optimized by following the brachistochrone curve, minimizing the impact from the environmental decoherence. Additionally, we demonstrate that B-NHQC is compatible with composed pulses, which can further enhance the robustness against pulse errors. For benchmarking, we provide a thorough analysis on the performance of B-NHQC under experimental conditions; we found that the gate error can be reduced by as much as 64% compared with NHQC.
