Measurement incompatibility is an important resource in quantum infomation processing tasks such as e.g. quantum key distribution, Bell inequality violation and steering. While resource theories for quantum states have already been widely studied, much less is known about resource quantification for quantum measurements, in particular for sets of quantum measurements. We introduce distance-based quantifiers for this context. These allow to establish a hierarchy between different measurement resources, and to derive certain polygamy inequalities for subsets of multiple measurements.
This video was produced by the International Centre for Mathematical Sciences, as part of the workshop Mathematical Physics in Quantum Technology: From Finite to Infinite Dimensions.
