论文标题
路由量子电路
Routed quantum circuits
论文作者
论文摘要
我们认为，在量子电路的标准框架中无法充分描述在最近的几条研究线中研究的量子理论结构。每当子系统的组合都通过直接总和和希尔伯特空间的张量产物的非平凡结合来描述时，尤其是这种情况。因此，我们提出了\ textit {路由线性映射}和\ textit {路由量子电路}给出的量子电路框架的扩展。我们证明，这个新框架可以在电路图方面具有一致，直观的图表表示，适用于纯量子和混合量子理论，并在多种情况下进行了体现，包括量子通道的叠加和一元素的因果分解。我们表明，我们的框架涵盖了Lorenz和Barrett的“扩展电路图” [Arxiv：2001.07774（2020）]，我们将其作为一种特殊情况，并以声音语义赋予它们。
We argue that the quantum-theoretical structures studied in several recent lines of research cannot be adequately described within the standard framework of quantum circuits. This is in particular the case whenever the combination of subsystems is described by a nontrivial blend of direct sums and tensor products of Hilbert spaces. We therefore propose an extension to the framework of quantum circuits, given by \textit{routed linear maps} and \textit{routed quantum circuits}. We prove that this new framework allows for a consistent and intuitive diagrammatic representation in terms of circuit diagrams, applicable to both pure and mixed quantum theory, and exemplify its use in several situations, including the superposition of quantum channels and the causal decompositions of unitaries. We show that our framework encompasses the `extended circuit diagrams' of Lorenz and Barrett [arXiv:2001.07774 (2020)], which we derive as a special case, endowing them with a sound semantics.
