论文标题

数字化su(2)量规字段以及这样做时要寻找的东西

Digitizing SU(2) Gauge Fields and What to Look Out for When Doing So

论文作者

Hartung, Tobias, Jakobs, Timo, Jansen, Karl, Ostmeyer, Johann, Urbach, Carsten

论文摘要

有了长期使用量子计算机和张量网络进行晶格量规理论模拟的观点,需要一种有效的数字化量规组元素的方法。因此,我们为SU(2)的非平凡示例(例如其有限的亚组以及不同类别的有限子集)提供了一些离散示例的离散化方法。我们将注意力集中在观察到弱耦合的冻结过渡上。斐波那契螺旋的一般版本似乎特别有效,接近最佳。

With the long term perspective of using quantum computers and tensor networks for lattice gauge theory simulations, an efficient method of digitizing gauge group elements is needed. We thus present our results for a handful of discretization approaches for the non-trivial example of SU(2), such as its finite subgroups, as well as different classes of finite subsets. We focus our attention on a freezing transition observed towards weak couplings. A generalized version of the Fibonacci spiral appears to be particularly efficient and close to optimal.

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