论文标题
多体量子符号结构作为非统一的iSing模型
Many-body quantum sign structures as non-glassy Ising models
论文作者
论文摘要
多体量子系统的特征状态的非平凡相结构严重限制了量子蒙特卡洛，变异和机器学习方法的适用性。在这里，我们研究了沮丧的量子自旋系统的实用值的意外地面波函数，并假设可以分离找到波函数振幅和符号的任务，请表明这些符号很容易从振幅中引导。我们将找到标志结构的问题映射到基于希尔伯特空间的子集定义的辅助经典伊辛模型。我们表明，即使对于高度沮丧的父母量子系统，Ising模型也不会表现出重大挫败感，并且可以通过完全确定性的$ O（k \ log k）$ - 时间组合算法解决（其中$ k $是Ising模型大小）。鉴于基态幅度，我们重建了几种沮丧的量子模型的基态符号，从而揭示了多体符号结构的隐藏简单性。
The non-trivial phase structure of the eigenstates of many-body quantum systems severely limits the applicability of quantum Monte Carlo, variational, and machine learning methods. Here, we study real-valued signful ground-state wave functions of frustrated quantum spin systems and, assuming that the tasks of finding wave function amplitudes and signs can be separated, show that the signs can be easily bootstrapped from the amplitudes. We map the problem of finding the sign structure to an auxiliary classical Ising model defined on a subset of the Hilbert space basis. We show that the Ising model does not exhibit significant frustrations even for highly frustrated parental quantum systems, and is solvable with a fully deterministic $O(K\log K)$-time combinatorial algorithm (where $K$ is the Ising model size). Given the ground state amplitudes, we reconstruct the signs of the ground states of several frustrated quantum models, thereby revealing the hidden simplicity of many-body sign structures.
