Entropic uncertainty relations and their applications

PJ Coles, M Berta, M Tomamichel, S Wehner - Reviews of Modern Physics, 2017 - APS
Heisenberg's uncertainty principle forms a fundamental element of quantum mechanics.
Uncertainty relations in terms of entropies were initially proposed to deal with conceptual …

Entropic uncertainty relations—a survey

S Wehner, A Winter - New Journal of Physics, 2010 - iopscience.iop.org
Uncertainty relations play a central role in quantum mechanics. Entropic uncertainty
relations in particular have gained significant importance within quantum information …

The uncertainty principle in the presence of quantum memory

M Berta, M Christandl, R Colbeck, JM Renes… - Nature Physics, 2010 - nature.com
The uncertainty principle, originally formulated by Heisenberg, clearly illustrates the
difference between classical and quantum mechanics. The principle bounds the …

Uncertainty relation for smooth entropies

M Tomamichel, R Renner - Physical review letters, 2011 - APS
Uncertainty relations give upper bounds on the accuracy by which the outcomes of two
incompatible measurements can be predicted. While established uncertainty relations apply …

A framework for non-asymptotic quantum information theory

M Tomamichel - arXiv preprint arXiv:1203.2142, 2012 - arxiv.org
This thesis consolidates, improves and extends the smooth entropy framework for non-
asymptotic information theory and cryptography. We investigate the conditional min-and max …

Security proof for quantum key distribution using qudit systems

L Sheridan, V Scarani - Physical Review A—Atomic, Molecular, and Optical …, 2010 - APS
We provide security bounds against coherent attacks for two families of quantum key
distribution protocols that use d-dimensional quantum systems. In the asymptotic regime …

Experimental investigation of the entanglement-assisted entropic uncertainty principle

CF Li, JS Xu, XY Xu, K Li, GC Guo - Nature Physics, 2011 - nature.com
The uncertainty principle, which bounds the uncertainties involved in obtaining precise
outcomes for two complementary variables defining a quantum particle, is a crucial aspect in …

Experimental investigation of the uncertainty principle in the presence of quantum memory and its application to witnessing entanglement

R Prevedel, DR Hamel, R Colbeck, K Fisher… - Nature Physics, 2011 - nature.com
Heisenberg's uncertainty principle provides a fundamental limitation on the ability of an
observer holding classical information to predict the outcome when one of two …

Unconditional security of entanglement-based continuous-variable quantum secret sharing

I Kogias, Y Xiang, Q He, G Adesso - Physical Review A, 2017 - APS
The need for secrecy and security is essential in communication. Secret sharing is a
conventional protocol to distribute a secret message to a group of parties, who cannot …

Entropic uncertainty relation in neutrino oscillations

D Wang, F Ming, XK Song, L Ye, JL Chen - The European Physical …, 2020 - Springer
Neutrino oscillation is deemed as an interesting physical phenomenon and shows the
nonclassical features made apparently by the Leggett–Garg inequality. The uncertainty …