论文标题
量子互补性的一般框架从基于测量的角度来看
General framework of quantum complementarity from a measurement-based perspective
论文作者
论文摘要
量子物理学的最显着特征之一是，量子对象的属性，例如单个光子的波浪状和类似粒子的行为，可以是互补的，因为它们同样是真实的，但不能同时观察到它们。量子测量值，用作窗口，可为量子理论的抽象建筑物提供视图，是表现出量子对象的内在行为的基本工具。但是，互补性的定量表述突出了其在复杂测量中的表现仍然难以捉摸。在这里，我们开发了一个通用框架，以信息排除关系（IERS）的形式证明量子互补性，该形式将波粒子二元关系纳入了特定示例。此外，我们探讨了我们理论在纠缠中的应用，并阐明了我们的IERS导致熵不确定性关系的扩展形式，从而为量子互补性与准备不确定性之间的联系提供了有趣的见解。
One of the most remarkable features of quantum physics is that attributes of quantum objects, such as the wave-like and particle-like behaviors of single photons, can be complementary in the sense that they are equally real but cannot be observed simultaneously. Quantum measurements, serving as windows providing views into the abstract edifice of quantum theory, are basic tools for manifesting the intrinsic behaviors of quantum objects. However, quantitative formulation of complementarity that highlights its manifestations in sophisticated measurements remains elusive. Here we develop a general framework for demonstrating quantum complementarity in the form of information exclusion relations (IERs), which incorporates the wave-particle duality relations as particular examples. Moreover, we explore the applications of our theory in entanglement witnessing and elucidate that our IERs lead to an extended form of entropic uncertainty relations, providing intriguing insights into the connection between quantum complementarity and the preparation uncertainty.
