论文标题
量子重量枚举器和张量网络
Quantum weight enumerators and tensor networks
论文作者
论文摘要
我们研究了权重枚举者在分析张量网络结构的使用，特别是最近引入的量子乐高框架。我们将量子权重枚举器的概念扩展到所谓的张量枚举器，并证明张量网络上的跟踪操作与张量枚举器上的跟踪操作兼容。这使我们能够更有效地计算较大代码的量子权重枚举器，例如通过张量网络方法构建的量子。我们还为量子MacWilliams身份提供了一个通用框架，其中包括张量枚举者作为特殊情况。
We examine the use of weight enumerators for analyzing tensor network constructions, and specifically the quantum lego framework recently introduced. We extend the notion of quantum weight enumerators to so-called tensor enumerators, and prove that the trace operation on tensor networks is compatible with a trace operation on tensor enumerators. This allows us to compute quantum weight enumerators of larger codes such as the ones constructed through tensor network methods more efficiently. We also provide a general framework for quantum MacWilliams identities that includes tensor enumerators as a special case.
