Roget Mathieu, Herzog Basile, Di Molfetta Giuseppe
Aix-Marseille Université, Université de Toulon, CNRS, LIS, Marseille, France.
Département d'Informatique, ENS de Lyon, Lyon, France.
Sci Rep. 2020 Dec 7;10(1):21354. doi: 10.1038/s41598-020-78455-3.
We propose a new quantum numerical scheme to control the dynamics of a quantum walker in a two dimensional space-time grid. More specifically, we show how, introducing a quantum memory for each of the spatial grid, this result can be achieved simply by acting on the initial state of the whole system, and therefore can be exactly controlled once for all. As example we prove analytically how to encode in the initial state any arbitrary walker's mean trajectory and variance. This brings significantly closer the possibility of implementing dynamically interesting physics models on medium term quantum devices, and introduces a new direction in simulating aspects of quantum field theories (QFTs), notably on curved manifold.
我们提出了一种新的量子数值方案，用于控制二维时空网格中量子行走者的动力学。更具体地说，我们展示了如何通过为每个空间网格引入量子存储器，仅通过作用于整个系统的初始状态就能实现这一结果，因此可以一劳永逸地进行精确控制。作为示例，我们通过解析证明了如何在初始状态中编码任意行走者的平均轨迹和方差。这显著拉近了在中期量子设备上实现具有动态趣味性的物理模型的可能性，并在模拟量子场论（QFT）的各个方面，特别是在弯曲流形上，引入了一个新的方向。
