论文标题
在嘈杂的量子计算机上识别受对称保护的拓扑状态
Identification of symmetry-protected topological states on noisy quantum computers
论文作者
论文摘要
识别拓扑特性是一个主要的挑战，因为根据定义，拓扑状态没有局部顺序参数。尽管尚不可用来解决这一挑战的通用解决方案，但可以通过其纠缠谱中的独特退化性来识别一类广泛的拓扑状态，即受对称保护的拓扑（SPT）状态。在这里，我们提出并实现了两个互补方案，以分别基于对称分解的纠缠熵和基于测量的计算算法来探测这些归化性。这两个协议将量子信息处理与物质SPT阶段的分类联系起来。他们调用群集状态的创建，并在IBM量子计算机上实现。将实验发现与嘈杂的模拟进行了比较，从而使我们能够研究拓扑状态对扰动和噪声的稳定性。
Identifying topological properties is a major challenge because, by definition, topological states do not have a local order parameter. While a generic solution to this challenge is not available yet, a broad class of topological states, namely symmetry-protected topological (SPT) states, can be identified by distinctive degeneracies in their entanglement spectrum. Here, we propose and realize two complementary protocols to probe these degeneracies based on, respectively, symmetry-resolved entanglement entropies and measurement-based computational algorithms. The two protocols link quantum information processing to the classification of SPT phases of matter. They invoke the creation of a cluster state, and are implemented on an IBM quantum computer. The experimental findings are compared to noisy simulations, allowing us to study the stability of topological states to perturbations and noise.
