Quantum resource theories for sets of measurements

Published: 11 May 2023
on channel: Centre for Quantum Technologies
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CQT Colloquium

Speaker: Dagmar Bruss, University of Duesseldorf, Institute for Theoretical Physics III
Abstract: Certain quantum information processing tasks, such as demonstrating the violation of a Bell inequality, require non-vanishing resources in both quantum states and measurements. 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. Our approach provides a general framework to quantify the resources of sets of measurements, and to evaluate their power for quantum information processing tasks.
In particular, we establish a hierarchy between different resource theories. We also derive certain polygamy inequalities for subsets of multiple measurements.


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