标题： 局部层析阴影（扩展摘要） 显示英文标题

标题： Locally Tomographic Shadows (Extended Abstract)

摘要： 给定一个单子概率理论——一个对称单子范畴$\mathcal{C}$系统和过程，以及一个函子$\mathbf{V}$将具体的概率模型分配给$\mathcal{C}$的对象——我们构建了一个局部可鉴定的概率理论 LT$(\mathcal{C},\mathbf{V})$——$(\mathcal{C},\mathbf{V})$的局部可鉴定阴影——描述由控制$\mathcal{C}$中系统的本地代理可观测的现象，并能够汇集关于这些系统上联合测量的信息。 一些全局不同的状态在 LT$(\mathcal{C},\mathbf{V})$中变得局部不可区分，我们将过程的集合限制为尊重这种不可区分性的过程。 此构造在实量子理论中进行了详细研究。 显示英文摘要

摘要： Given a monoidal probabilistic theory -- a symmetric monoidal category $\mathcal{C}$ of systems and processes, together with a functor $\mathbf{V}$ assigning concrete probabilistic models to objects of $\mathcal{C}$ -- we construct a locally tomographic probabilistic theory LT$(\mathcal{C},\mathbf{V})$ -- the locally tomographic shadow of $(\mathcal{C},\mathbf{V})$ -- describing phenomena observable by local agents controlling systems in $\mathcal{C}$, and able to pool information about joint measurements made on those systems. Some globally distinct states become locally indistinguishable in LT$(\mathcal{C},\mathbf{V})$, and we restrict the set of processes to those that respect this indistinguishability. This construction is investigated in some detail for real quantum theory.