论文标题
表征高维量子上下文
Characterizing high-dimensional quantum contextuality
论文作者
论文摘要
作为一种涵盖测量不相容性和钟声非局部性的现象，量子上下文不仅是我们对量子力学理解的核心，而且是许多量子信息处理任务中的重要资源。自发现发现以来，量子上下文的尺寸依赖性特征一直是众所周知的，但是仍然缺乏表征具有固定维度系统中量子上下文的系统方法。在这项工作中，我们解决了这个问题。我们提供了系统可靠的方法来验证是否可以由$ d $维量子系统产生获得的概率分布，并计算有限维违反一般非上下文性不平等的行为。作为一种应用，我们的方法揭示了有限维量子上下文性的非凸结构。
As a phenomenon encompassing measurement incompatibility and Bell nonlocality, quantum contextuality is not only central to our understanding of quantum mechanics, but also an essential resource in many quantum information processing tasks. The dimension-dependent feature of quantum contextuality is known ever since its discovery, but systematic methods for characterizing the quantum contextuality in systems with fixed dimension are still lacking. In this work, we solve this problem. We provide systematic and reliable methods for verifying whether or not an obtained probability distribution can result from a $d$-dimensional quantum system, as well as calculating finite-dimensional violation of a general noncontextuality inequality. As an application, our methods reveal the non-convex structure of finite-dimensional quantum contextuality.
