Some measurements in quantum mechanics disturb each other. This has puzzled physicists since the formulation of the theory, but only in recent decades has the incompatibility of measurements been analyzed in depth and detail, using the notion of joint measurability of generalized measurements. In this Colloquium joint measurability and incompatibility are reviewed from the perspective of quantum information science. The Colloquium starts by discussing the basic definitions and concepts. An overview on applications of incompatibility, such as in measurement uncertainty relations, the characterization of quantum correlations, or information processing tasks like quantum state discrimination, is then presented. Finally, emerging directions of research, such as a resource theory of incompatibility as well as other concepts to grasp the nature of measurements in quantum mechanics, are discussed.

中文翻译：

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研讨会：量子信息科学中的不兼容测量

量子力学中的一些测量相互干扰。自该理论提出以来，这一直困扰着物理学家，但直到最近几十年，人们才利用广义测量的联合可测性概念对测量的不兼容性进行了深入和详细的分析。本次研讨会从量子信息科学的角度回顾了联合可测性和不兼容性。研讨会首先讨论基本定义和概念。然后概述了不相容性的应用，例如在测量不确定性关系、量子相关性的表征或量子态辨别等信息处理任务中。最后，讨论了新兴的研究方向，例如不相容的资源理论以及掌握量子力学测量本质的其他概念。