论文标题
深色路径自动Qudit计算
Dark path holonomic qudit computation
论文作者
论文摘要
非绝热的全能量子计算是一种用于实施具有与状态空间中路径相关的非亚伯几何阶段的高速量子门的方法。由于它们的噪声耐受性，这些阶段可用于构建误差弹性量子门。我们在[M.-Z. ai {\ t et al。}，基础。 res。 {\ bf 2}，661（2022）]到qudits。具体而言，我们使用黑暗路径技术证明了一级和两Qudit的通用性。展示了显式Qutrit（$ d = 3 $）门，并解决了尺寸$ d $的循环数量的缩放。该缩放是线性的，我们展示了如何在任何维度上有效地实现任何对角线Qudit Gate。
Non-adiabatic holonomic quantum computation is a method used to implement high-speed quantum gates with non-Abelian geometric phases associated with paths in state space. Due to their noise tolerance, these phases can be used to construct error resilient quantum gates. We extend the holonomic dark path qubit scheme in [M.-Z. Ai {\t et al.}, Fundam. Res. {\bf 2}, 661 (2022)] to qudits. Specifically, we demonstrate one- and two-qudit universality by using the dark path technique. Explicit qutrit ($d=3$) gates are demonstrated and the scaling of the number of loops with the dimension $d$ is addressed. This scaling is linear and we show how any diagonal qudit gate can be implemented efficiently in any dimension.
