论文标题
量子力学是 * - 代数和张量网络
Quantum mechanics is *-algebras and tensor networks
论文作者
论文摘要
我们从信息理论的角度使用张量网络的语言提供了一种系统的方法来用于量子力学。我们的配方只需要一种类型的对象，即所谓的阳性 *-entors。物理模型将实验设置转化为这些 *量的网络，而所得网络的评估产生了描述测量结果的概率分布。我们的方法背后的想法类似于量子力学的分类公式。但是，我们的表述在数学上更简单，更不抽象。我们对核心形式主义的介绍是完全独立的，依赖于最少的数学前准则。因此，我们希望原则上也可以理解，没有广泛的数学背景。此外，我们还展示了如何将各种类型的模型（例如实时演变或热系统）转化为 *-TENSOR网络。
We provide a systematic approach to quantum mechanics from an information-theoretic perspective using the language of tensor networks. Our formulation needs only a single kind of object, so-called positive *-tensors. Physical models translate experimental setups into networks of these *-tensors, and the evaluation of the resulting networks yields the probability distributions describing measurement outcomes. The idea behind our approach is similar to categorical formulations of quantum mechanics. However, our formulation is mathematically simpler and less abstract. Our presentation of the core formalism is completely self-contained and relies on minimal mathematical prerequesites. Therefore, we hope it is in principle also understandable to people without an extensive mathematical background. Additionally, we show how various types of models, like real-time evolutions or thermal systems can be translated into *-tensor networks.
