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 …

Quantum‐Memory‐Assisted Entropic Uncertainty Relations

D Wang, F Ming, ML Hu, L Ye - Annalen der Physik, 2019 - Wiley Online Library
Uncertainty relations take a crucial and fundamental part in the frame of quantum theory,
and are bringing on many marvelous applications in the emerging field of quantum …

Improved entropic uncertainty relations and information exclusion relations

PJ Coles, M Piani - Physical Review A, 2014 - APS
The uncertainty principle can be expressed in entropic terms, also taking into account the
role of entanglement in reducing uncertainty. The information exclusion principle bounds …

What is nonclassical about uncertainty relations?

L Catani, M Leifer, G Scala, D Schmid, RW Spekkens - Physical Review Letters, 2022 - APS
Uncertainty relations express limits on the extent to which the outcomes of distinct
measurements on a single state can be made jointly predictable. The existence of nontrivial …

Noise and disturbance in quantum measurements: an information-theoretic approach

F Buscemi, MJW Hall, M Ozawa, MM Wilde - Physical review letters, 2014 - APS
We introduce information-theoretic definitions for noise and disturbance in quantum
measurements and prove a state-independent noise-disturbance tradeoff relation that these …

Strong majorization entropic uncertainty relations

Ł Rudnicki, Z Puchała, K Życzkowski - Physical Review A, 2014 - APS
We analyze entropic uncertainty relations in a finite-dimensional Hilbert space and derive
several strong bounds for the sum of two entropies obtained in projective measurements …

Entropic uncertainty relations for multiple measurements

S Liu, LZ Mu, H Fan - Physical Review A, 2015 - APS
We present the entropic uncertainty relations for multiple measurement settings which
demonstrate the uncertainty principle of quantum mechanics. Those uncertainty relations …

Universal uncertainty relations

S Friedland, V Gheorghiu, G Gour - Physical review letters, 2013 - APS
Uncertainty relations are a distinctive characteristic of quantum theory that impose intrinsic
limitations on the precision with which physical properties can be simultaneously …

Quantum thermodynamics of general quantum processes

F Binder, S Vinjanampathy, K Modi, J Goold - Physical Review E, 2015 - APS
Accurately describing work extraction from a quantum system is a central objective for the
extension of thermodynamics to individual quantum systems. The concepts of work and heat …

[HTML][HTML] Sum uncertainty relations for arbitrary N incompatible observables

B Chen, SM Fei - Scientific reports, 2015 - nature.com
We formulate uncertainty relations for arbitrary N observables. Two uncertainty inequalities
are presented in terms of the sum of variances and standard deviations, respectively. The …