论文标题
无标准定理用于非信号框和组合
No-broadcasting theorem for non-signalling boxes and assemblages
论文作者
论文摘要
No-broadcast定理是量子信息理论中最基本的结果之一。它可以保证，基于窃听和复制量子信息的任何量子协议的最简单攻击是不可能的。由于其基本的重要性，自然要问它是固有的量子特性还是对更广泛的非古典理论也持有。相关的概括是考虑非信号框。随后，Joshi，Grudka和Horodecki $^{\ otimes 4} $猜想不能本地广播的非本地盒子。在本文中，我们根据盒子相对熵的基本特性证明了它们的猜想。在类似的推理之后，我们还获得了一个类似的定理，以进行可觉的组合。
The no-broadcasting theorem is one of the most fundamental results in quantum information theory; it guarantees that the simplest attacks on any quantum protocol, based on eavesdropping and copying of quantum information, are impossible. Due to its fundamental importance, it is natural to ask whether it is an inherent quantum property or holds also for a broader class of non-classical theories. A relevant generalization is to consider non-signalling boxes. Subsequently Joshi, Grudka and Horodecki$^{\otimes 4}$ conjectured that one cannot locally broadcast nonlocal boxes. In this paper, we prove their conjecture based on fundamental properties of the relative entropy of boxes. Following a similar reasoning, we also obtain an analogous theorem for steerable assemblages.
