论文标题
在两个空间维度中的费米到Qubit映射的变化解决方案
Variational solutions to fermion-to-qubit mappings in two spatial dimensions
论文作者
论文摘要
通过引入辅助费米子或扩大的自旋空间，可以将当地的费米昂汉密尔顿人映射到当地的旋转汉密尔顿人，以牺牲一组其他约束。我们提出了一个通过更高维（> 1d）的Jordan-Wigner转换来研究费米子系统的变异蒙特卡洛框架。我们为持续过程中遇到的奇偶校验和高斯法律约束提供了精确的解决方案。我们研究了2D的$ t $ - $ V $模型，并演示了如何与神经网络量子量子ansatze结合检索基态和低能激发光谱。
Through the introduction of auxiliary fermions, or an enlarged spin space, one can map local fermion Hamiltonians onto local spin Hamiltonians, at the expense of introducing a set of additional constraints. We present a variational Monte-Carlo framework to study fermionic systems through higher-dimensional (>1D) Jordan-Wigner transformations. We provide exact solutions to the parity and Gauss-law constraints that are encountered in bosonization procedures. We study the $t$-$V$ model in 2D and demonstrate how both the ground state and the low-energy excitation spectra can be retrieved in combination with neural network quantum state ansatze.
