论文标题
有限能量的多体量子系统的经典算法
Classical algorithms for many-body quantum systems at finite energies
论文作者
论文摘要
我们研究了量子启发的算法，以计算有限能量的量子多体系统的物理可观察物。它们基于[Lu等人中提出的量子算法。 PRX Quantum 2，020321（2021）]，它使用此类动力学的量子模拟以及经典的过滤和采样技术。在这里，我们根据基于矩阵产品状态和运算符的标准经典方法替换量子模拟。结果，我们可以比通过精确对角线或其他算法来解决的系统要大得多。我们以多达80个站点的旋转链的形式演示了性能。
We investigate quantum inspired algorithms to compute physical observables of quantum many-body systems at finite energies. They are based on the quantum algorithms proposed in [Lu et al. PRX Quantum 2, 020321 (2021)], which use the quantum simulation of the dynamics of such systems, as well as classical filtering and sampling techniques. Here, we replace the quantum simulation by standard classical methods based on matrix product states and operators. As a result, we can address significantly larger systems than those reachable by exact diagonalization or by other algorithms. We demonstrate the performance with spin chains up to 80 sites.
