论文标题
用规定的进化路径实现非绝热几何门的方法
Approach to realizing nonadiabatic geometric gates with prescribed evolution paths
论文作者
论文摘要
非绝热几何阶段仅取决于量子系统的演化路径，但独立于进化细节，因此基于非绝热几何阶段的量子计算是可靠的。为了实现非绝热的几何量子计算，有必要确保量子系统经历循环演化，并从总相中删除动态阶段。为了满足这些条件，以前的方案中的演化路径通常仅限于某些特殊形式，例如橙色斜线形环，这使得通常不必要地长的路径。在本文中，我们提出了一种实现非绝热几何量子计算的方法，通过该计算，可以通过任何所需的进化路径来实现一组通用的非绝热几何门。我们的方法使能够在经济的演变时间内实现几何量子计算，从而可以进一步最小化环境噪声对量子门的影响。
Nonadiabatic geometric phases are only dependent on the evolution path of a quantum system but independent of the evolution details, and therefore quantum computation based on nonadiabatic geometric phases is robust against control errors. To realize nonadiabatic geometric quantum computation, it is necessary to ensure that the quantum system undergoes a cyclic evolution and the dynamical phases are removed from the total phases. To satisfy these conditions, the evolution paths in previous schemes are usually restricted to some special forms, e.g, orange-slice-shaped loops, which make the paths unnecessarily long in general. In this paper, we put forward an approach to the realization of nonadiabatic geometric quantum computation by which a universal set of nonadiabatic geometric gates can be realized with any desired evolution paths. Our approach makes it possible to realize geometric quantum computation with an economical evolution time so the influence of environment noises on the quantum gates can be minimized further.
