The type-independent resource theory of local operations and shared randomness
The type-independent resource theory of local operations and shared randomness
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DOI：
10.22331/q-2020-04-30-262
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发表时间：
2019-09
期刊：
影响因子：
6.4
通讯作者：
David Schmid;D. Rosset;F. Buscemi
中科院分区：
文献类型：
--
作者：
David Schmid;D. Rosset;F. Buscemi
在类似空间的分离实验和其他场景中，多方共享经典的共同原因，但没有因果关系，量子理论允许各种非信令资源，这对分布式量子信息处理很有用。这些资源包括量子态、非定域盒、操纵集合、传送、通道操纵集合等等，这些资源经常被用非定域博弈、半量子博弈、纠缠见证、传送实验和类似的任务来研究。我们引入了一个统一的框架，其中包括全方位的非信令资源，以及游戏和实验，探测它们，到一个共同的资源理论：本地操作和共享的随机性（LOSR）。最重要的是，我们允许这些LOSR操作在本地改变资源的类型，这样玩家就可以将任何类型的资源转换为任何其他类型的资源，特别是转换为他们正在玩的特定类型游戏的策略。然后，我们证明了几个定理有关的资源和不同类型的游戏。这些定理概括了一些开创性的结果，从文献中，并可以应用到减少所需的假设，以表征资源的非经典性。作为一个例子，我们证明了半量子博弈能够完美地表征任何类型的每一种资源（而不仅仅是量子态，如前所述）的LOSR非经典性。因此，我们表明，任何资源的特点是可以在一个测量设备无关的方式。
In space-like separated experiments and other scenarios where multiple parties share a classical common cause but no cause-effect relations, quantum theory allows a variety of nonsignaling resources which are useful for distributed quantum information processing. These include quantum states, nonlocal boxes, steering assemblages, teleportages, channel steering assemblages, and so on. Such resources are often studied using nonlocal games, semiquantum games, entanglement-witnesses, teleportation experiments, and similar tasks. We introduce a unifying framework which subsumes the full range of nonsignaling resources, as well as the games and experiments which probe them, into a common resource theory: that of local operations and shared randomness (LOSR). Crucially, we allow these LOSR operations to locally change the type of a resource, so that players can convert resources ofanytype into resources of any other type, and in particular into strategies for the specific type of game they are playing. We then prove several theorems relating resources and games of different types. These theorems generalize a number of seminal results from the literature, and can be applied to lessen the assumptions needed to characterize the nonclassicality of resources. As just one example, we prove that semiquantum games are able to perfectly characterize the LOSR nonclassicality of every resource ofanytype (not just quantum states, as was previously shown). As a consequence, we show that any resource can be characterized in a measurement-device-independent manner.