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Entropic uncertainty relations and their applications
Authors
M Berta
PJ Coles
M Tomamichel
S Wehner
Publication date
1 February 2017
Publisher
'American Physical Society (APS)'
Doi
Cite
Abstract
© 2017 American Physical Society. Heisenberg's uncertainty principle forms a fundamental element of quantum mechanics. Uncertainty relations in terms of entropies were initially proposed to deal with conceptual shortcomings in the original formulation of the uncertainty principle and, hence, play an important role in quantum foundations. More recently, entropic uncertainty relations have emerged as the central ingredient in the security analysis of almost all quantum cryptographic protocols, such as quantum key distribution and two-party quantum cryptography. This review surveys entropic uncertainty relations that capture Heisenberg's idea that the results of incompatible measurements are impossible to predict, covering both finite- and infinite-dimensional measurements. These ideas are then extended to incorporate quantum correlations between the observed object and its environment, allowing for a variety of recent, more general formulations of the uncertainty principle. Finally, various applications are discussed, ranging from entanglement witnessing to wave-particle duality to quantum cryptography
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OPUS - University of Technology Sydney
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Last time updated on 18/10/2019
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Spiral - Imperial College Digital Repository
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Last time updated on 27/03/2019