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SUMMARY:Additivity of entropic uncertainty relations - René Schwonnek (Un
 iversität Hannover )
DTSTART:20180723T150000Z
DTEND:20180723T154500Z
UID:TALK108262@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We consider the uncertainty between two pairs of local project
 ive measurements performed on a multipartite system. We show that the opti
 mal bound in any linear uncertainty relation\, formulated in terms of the 
 Shannon entropy\, is additive. This directly implies\, against naive intui
 tion\, that the minimal entropic uncertainty can always be realized by ful
 ly separable states. Hence\, in contradiction to proposals by other author
 s\, no entanglement witness can be constructed solely by comparing the att
 ainable uncertainties of entangled and separable states. However\, our res
 ult gives rise to a huge simplification for computing global uncertainty b
 ounds as they now can be deduced from local ones. Furthermore\, we provide
  the natural generalization of the Maassen and Uffink inequality for linea
 r uncertainty relations with arbitrary positive coefficients.<br><br><br><
 br>
LOCATION:Seminar Room 1\, Newton Institute
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