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 …

Computing quantum discord is NP-complete

Y Huang - New journal of physics, 2014 - iopscience.iop.org
We study the computational complexity of quantum discord (a measure of quantum
correlation beyond entanglement), and prove that computing quantum discord is NP …

Improved tripartite uncertainty relation with quantum memory

F Ming, D Wang, XG Fan, WN Shi, L Ye, JL Chen - Physical Review A, 2020 - APS
The uncertainty principle is a striking and fundamental feature in quantum mechanics,
distinguishing it from classical mechanics. It offers an important lower bound to predict …

Tightening the entropic uncertainty bound in the presence of quantum memory

F Adabi, S Salimi, S Haseli - Physical Review A, 2016 - APS
The uncertainty principle is a fundamental principle in quantum physics. It implies that the
measurement outcomes of two incompatible observables cannot be predicted …

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 …

Quantum discord for two-qubit states: Analytical formula with very small worst-case error

Y Huang - Physical Review A—Atomic, Molecular, and Optical …, 2013 - APS
Quantum discord is a measure of quantum correlation beyond entanglement. Computing
quantum discord for simple quantum states is a basic problem. An analytical formula of …

Steering criteria from general entropic uncertainty relations

ACS Costa, R Uola, O Gühne - Physical Review A, 2018 - APS
The effect of steering describes a possible action at a distance via measurements but
characterizing the quantum states that can be used for this task remains difficult. We provide …

Quantifying measurement incompatibility of mutually unbiased bases

S Designolle, P Skrzypczyk, F Fröwis, N Brunner - Physical review letters, 2019 - APS
Quantum measurements based on mutually unbiased bases are commonly used in
quantum information processing, as they are generally viewed as being maximally …

Entropic uncertainty relations with quantum memory in a multipartite scenario

QH Zhang, SM Fei - Physical Review A, 2023 - APS
Entropic uncertainty relations demonstrate the intrinsic uncertainty of nature from an
information-theory perspective. Recently, a quantum-memory-assisted entropic uncertainty …