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 …

All classes of informationally complete symmetric measurements in finite dimensions

K Siudzińska - Physical Review A, 2022 - APS
A broad class of informationally complete symmetric measurements is introduced. It can be
understood as a common generalization of symmetric, informationally complete positive …

Einstein-Podolsky-Rosen steering criterion and monogamy relation via correlation matrices in tripartite systems

LJ Li, XG Fan, XK Song, L Ye, D Wang - Physical Review A, 2024 - APS
Quantum steering is considered one of the most well-known nonlocal phenomena in
quantum mechanics. Unlike entanglement and Bell nonlocality, the asymmetry of quantum …

Detecting Einstein-Podolsky-Rosen steering via correlation matrices

L Lai, S Luo - Physical Review A, 2022 - APS
Einstein-Podolsky-Rosen (EPR) steering is a kind of quantum nonlocal correlation
characterizing the ability of one party to remotely affect another party's state by local …

Detection of typical bipartite entanglement by local generalized measurements

M Schumacher, G Alber - Physical Review A, 2023 - APS
Motivated by the need for efficient local entanglement detection for applications in quantum
information processing, sufficient conditions for arbitrary-dimensional local bipartite …

Linking entanglement detection and state tomography via quantum 2-designs

J Bae, BC Hiesmayr, D McNulty - New Journal of Physics, 2019 - iopscience.iop.org
We present an experimentally feasible and efficient method for detecting entangled states
with measurements that extend naturally to a tomographically complete set. Our detection …

Entropic uncertainty relations from equiangular tight frames and their applications

AE Rastegin - Proceedings of the Royal Society A, 2023 - royalsocietypublishing.org
Finite tight frames are interesting in various topics including questions of quantum
information. Each complex tight frame leads to a resolution of the identity in the Hilbert …

Characterizing the uncertainty relation via a class of measurements

F Huang, F Wu, L Tang, ZW Mo, MQ Bai - Physica Scripta, 2023 - iopscience.iop.org
The connection between uncertainty and entanglement is a prevalent topic in quantum
information processing. Based on a broad class of informationally complete symmetric …

Operational advantage of basis-independent quantum coherence

ZH Ma, J Cui, Z Cao, SM Fei, V Vedral… - Europhysics …, 2019 - iopscience.iop.org
In the quantitative theory of quantum coherence, the amount of coherence is defined as the
distance between the given state to the closest incoherent state. The set of incoherent states …

[HTML][HTML] Improved bounds on some entanglement criteria in bipartite quantum systems

L Tang, F Wu - Results in Physics, 2023 - Elsevier
Entanglement detection is one of the core tasks in quantum information processing. Based
on a broad class of informationally complete symmetric measurements, a series of …