论文标题
用量子计算机模拟旋转动力学
Simulating spin dynamics with quantum computers
论文作者
论文摘要
IBM量子计算机用于模拟相互作用量子自旋的小型系统的动力学。对于不到三个自旋的时间无关的系统，我们在任意时间计算确切的时间演变，并测量自旋期望值和能量。已经证明，即使在如此小的系统中，也可以观察模型中的保护定律和对称性之间的联系。较大的系统需要近似时间进化运算符，我们明确调查了$ n = 3 $旋转的情况。虽然证明使用此类设备在没有更先进的算法或可靠的误差校正的情况下探测如此较大的系统是不可行的，但我们证明了量子电路模拟器是一种易于使用的方法，用于研究具有$ N \ sim \ sim \ Mathcal {O}（O}（O}（O}（10））的系统中，提出的计算为本科量子力学课程中量子自旋的标准处理提供了有趣的实验组成部分。
IBM quantum computers are used to simulate the dynamics of small systems of interacting quantum spins. For time-independent systems with fewer than three spins, we compute the exact time evolution at arbitrary times and measure spin expectation values and energy. It is demonstrated that even in such small systems, one can observe the connection between conservation laws and symmetries in the model. Larger systems require approximating the time-evolution operator, and we investigate the case of $N=3$ spins explicitly. While it is shown to be unfeasible to use such devices to probe such larger systems without more advanced algorithms or reliable error correction, we demonstrate that the quantum circuit simulator is an easy-to-use method for studying spin dynamics in systems with $N\sim\mathcal{O}(10)$) spins. The computations presented provide an interesting experimental component to the standard treatment of quantum spin in an undergraduate quantum mechanics course.
