论文标题
在任意维度中对晶格量规理论的资源有效量子模拟：解决高斯定律和费米昂消除
Resource-Efficient Quantum Simulation of Lattice Gauge Theories in Arbitrary Dimensions: Solving for Gauss' Law and Fermion Elimination
论文作者
论文摘要
已经提出并将其用作克服理论困难在处理此类模型的非扰动性质时遇到的理论困难的方法。在这项工作中，我们专注于两个重要的瓶颈，这些瓶颈很难开发这种模拟器：一个是模拟费米子自由度的困难，而另一个是希尔伯特空间的冗余，这导致了实验资源的浪费，并且需要强加和监视Gauge Igumenies的本地对称性约束。以前使用非本地方法在一维设置中解决了这一点。在这里，我们展示了处理这些问题的替代程序，该程序可以消除此问题和希尔伯特空间冗余，并且对更高的空间维度有效。我们为$ \ mathbb {z} _2 $ lattice量规理论演示了它，并通过IBMQ云量子计算平台实验实现它。
Quantum simulation of Lattice Gauge Theories has been proposed and used as a method to overcome theoretical difficulties in dealing with the non-perturbative nature of such models. In this work we focus on two important bottlenecks that make developing such simulators hard: one is the difficulty of simulating fermionic degrees of freedom, and the other is the redundancy of the Hilbert space, which leads to a waste of experimental resources and the need to impose and monitor the local symmetry constraints of gauge theories. This has previously been tackled in one dimensional settings, using non-local methods. Here we show an alternative procedure for dealing with these problems, which removes the matter and the Hilbert space redundancy, and is valid for higher space dimensions. We demonstrate it for a $\mathbb{Z}_2$ lattice gauge theory and implement it experimentally via the IBMQ cloud quantum computing platform.
