The link between entropic uncertainty and nonlocality

Tomamichel, M; Hänggi, E

The link between entropic uncertainty and nonlocality

Tomamichel, M

Hänggi, E

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Publication Type:: Journal Article
Citation:: Journal of Physics A: Mathematical and Theoretical, 2013, 46 (5)
Issue Date:: 2013-02-08

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Field	Value	Language
dc.contributor.author	Tomamichel, M https://orcid.org/0000-0001-5410-3329	en_US
dc.contributor.author	Hänggi, E	en_US
dc.date.issued	2013-02-08	en_US
dc.identifier.citation	Journal of Physics A: Mathematical and Theoretical, 2013, 46 (5)	en_US
dc.identifier.issn	1751-8113	en_US
dc.identifier.uri	http://hdl.handle.net/10453/117343
dc.description.abstract	Two of the most intriguing features of quantum physics are the uncertainty principle and the occurrence of nonlocal correlations. The uncertainty principle states that there exist pairs of incompatible measurements on quantum systems such that their outcomes cannot both be predicted. On the other hand, nonlocal correlations of measurement outcomes at different locations cannot be explained by classical physics, but appear in the presence of entanglement. Here, we show that these two fundamental quantum effects are quantitatively related. Namely, we provide an entropic uncertainty relation for the outcomes of two binary measurements, where the lower bound on the uncertainty is quantified in terms of the maximum Clauser-Horne-Shimony-Holt value that can be achieved with these measurements. We discuss applications of this uncertainty relation in quantum cryptography, in particular, to certify quantum sources using untrusted devices. © 2013 IOP Publishing Ltd.	en_US
dc.relation.ispartof	Journal of Physics A: Mathematical and Theoretical	en_US
dc.relation.isbasedon	10.1088/1751-8113/46/5/055301	en_US
dc.subject.classification	Mathematical Physics	en_US
dc.title	The link between entropic uncertainty and nonlocality	en_US
dc.type	Journal Article
utslib.citation.volume	5	en_US
utslib.citation.volume	46	en_US
utslib.for	010503 Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory	en_US
utslib.for	020603 Quantum Information, Computation and Communication	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Computer Science
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	open_access
pubs.issue	5	en_US
pubs.publication-status	Published	en_US
pubs.volume	46	en_US

Abstract:

Two of the most intriguing features of quantum physics are the uncertainty principle and the occurrence of nonlocal correlations. The uncertainty principle states that there exist pairs of incompatible measurements on quantum systems such that their outcomes cannot both be predicted. On the other hand, nonlocal correlations of measurement outcomes at different locations cannot be explained by classical physics, but appear in the presence of entanglement. Here, we show that these two fundamental quantum effects are quantitatively related. Namely, we provide an entropic uncertainty relation for the outcomes of two binary measurements, where the lower bound on the uncertainty is quantified in terms of the maximum Clauser-Horne-Shimony-Holt value that can be achieved with these measurements. We discuss applications of this uncertainty relation in quantum cryptography, in particular, to certify quantum sources using untrusted devices. © 2013 IOP Publishing Ltd.

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http://hdl.handle.net/10453/117343