Quantum complementarity: A novel resource for exclusionConfirmed

by Chung-yun Hsieh (University of Bristol)

Monday Feb 24, 2025, 11:00 a.m. → 12:30 p.m. America/Toronto

PI/3-301 - Alice Room (Perimeter Institute for Theoretical Physics)

Complementarity is a phenomenon explaining several core features of quantum theory, such as the well-known uncertainty principle. Roughly speaking, two objects are said to be complementary if being certain about one of them necessarily forbids useful knowledge about the other. Two quantum measurements that do not commute form an example of complementary measurements, and this phenomenon can also be defined for ensembles of states. Although a key quantum feature, it is unclear whether complementarity can be understood more operationally, as a necessary resource in some quantum information task. Here we show this is the case, and relates to a task which we term unambiguous exclusion. As well as giving complementarity a clear operational definition, this also uncovers the foundational underpinning of unambiguous exclusion tasks for the first time.