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 …

Colloquium: Quantum root-mean-square error and measurement uncertainty relations

P Busch, P Lahti, RF Werner - Reviews of Modern Physics, 2014 - APS
Recent years have witnessed a controversy over Heisenberg's famous error-disturbance
relation. Here the conflict is resolved by way of an analysis of the possible …

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 …

The role of the Riemann–Silberstein vector in classical and quantum theories of electromagnetism

I Bialynicki-Birula… - Journal of Physics A …, 2013 - iopscience.iop.org
It is shown that the use of the Riemann–Silberstein (RS) vector greatly simplifies the
description of the electromagnetic field both in the classical domain and in the quantum …

The uncertainty relations in quantum mechanics

D Sen - Current Science, 2014 - JSTOR
The notion of uncertainty in the description of a physical system has assumed prodigious
importance in the development of quantum theory. Overcoming the early misunderstanding …

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 …

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 …

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 …

Majorization entropic uncertainty relations

Z Puchała, Ł Rudnicki… - Journal of Physics A …, 2013 - iopscience.iop.org
Entropic uncertainty relations in a finite-dimensional Hilbert space are investigated. Making
use of the majorization technique we derive explicit lower bounds for the sum of Rényi …

Continuous-variable entropic uncertainty relations

A Hertz, NJ Cerf - Journal of Physics A: Mathematical and …, 2019 - iopscience.iop.org
Uncertainty relations are central to quantum physics. While they were originally formulated
in terms of variances, they have later been successfully expressed with entropies following …