带电弦张量网络
Charged String Tensor Networks
摘要：
张量网络方法提供了一种直观的图形语言来描述量子态，通道，开放量子系统和一类数值近似方法，有效地模拟某些多体状态在一个空间维度。目前广泛使用的张量网络有两种基本类型。最常见的类似于量子线路。第二类是张量网络的编织类，用于拓扑量子计算。最近，Jaffe，Liu和Wozniakowski发现了第三类张量网络-JLW模型-值得注意的是，导线携带电荷激发。网络组件可以以图形形式移动、合并和操纵的规则采用了一种优雅的形式。例如，电线上的相对电荷位置具有精确的含义，改变顺序会通过复数来修改连接的网络。在拓扑JLW模型中发现的合痕类型为量子信息、计算和协议的推理提供了另一种方法。在这里，我们回顾一下受控非门中使用的张量网络构建块。给出了与JLW模型有关的一些公开问题。
英文摘要：
Tensor network methods provide an intuitive graphical language to describe quantum states, channels, open quantum systems and a class of numerical approximation methods that efficiently simulate certain many-body states in one spatial dimension. There are two fundamental types of tensor networks in wide use today. The most common is similar to quantum circuits. The second is the braided class of tensor networks, used in topological quantum computing. Recently a third class of tensor networks was discovered by Jaffe, Liu and Wozniakowski---the JLW-model---notably, the wires carry charge excitations. The rules in which network components can be moved, merged and manipulated in a graphical form of reasoning take an elegant form. For instance the relative charge locations on wires carries precise meaning and changing the ordering modifies a connected network specifically by a complex number. The type of isotopy discovered in the topological JLW-model provides an alternative means to reason about quantum information, computation and protocols. Here we recall the tensor-network building blocks used in a controlled-NOT gate. Some open problems related to the JLW-model are given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
