Quantum complementarity: A novel resource for unambiguous exclusion
Dr. Chung-Yun Hsieh - University of Bristol, UK
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2024-12-30 12:10:00 ~
2024-12-30 13:10:00See event details for additional info.
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R36173, 1F, Dept. of Physics, Building of Science College, NCKU
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Quantum complementarity: A novel resource for unambiguous exclusion
Dr. Chung-Yun Hsieh - University of Bristol, UK
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DATE |
2024-12-30 |
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12:10-13:10 |
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PLACE |
R36173, 1F, Dept. of Physics, Building of Science College, NCKU |
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FIELD |
Quantum Information Science |
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SPEAKER |
Dr. Chung-Yun Hsieh - University of Bristol, UK |
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TITLE |
Quantum complementarity: A novel resource for unambiguous exclusion |
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ABSTRACT |
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 novel task which we term η-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. Finally, our analysis suggest that complementarity of measurement and state ensemble can be interpreted as strong forms of measurement incompatibility and quantum steering, respectively. |
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