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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Additivity of entropic uncertainty relations

## Additivity of entropic uncertainty relationsAdd to your list(s) Download to your calendar using vCal - RenÃ© Schwonnek (UniversitÃ¤t Hannover )
- Monday 23 July 2018, 16:00-16:45
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. MQIW05 - Beyond I.I.D. in information theory We consider the uncertainty between two pairs of local projective measurements performed on a multipartite system. We show that the optimal bound in any linear uncertainty relation, formulated in terms of the Shannon entropy, is additive. This directly implies, against naive intuition, that the minimal entropic uncertainty can always be realized by fully separable states. Hence, in contradiction to proposals by other authors, no entanglement witness can be constructed solely by comparing the attainable uncertainties of entangled and separable states. However, our result gives rise to a huge simplification for computing global uncertainty bounds as they now can be deduced from local ones. Furthermore, we provide the natural generalization of the Maassen and Uffink inequality for linear uncertainty relations with arbitrary positive coefficients. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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