The classical-quantum boundary for correlations:<? format?> Discord and related measures

K Modi, A Brodutch, H Cable, T Paterek, V Vedral - Reviews of Modern Physics, 2012 - APS
One of the best signatures of nonclassicality in a quantum system is the existence of
correlations that have no classical counterpart. Different methods for quantifying the …

Quantum discord and its allies: a review of recent progress

A Bera, T Das, D Sadhukhan, SS Roy… - Reports on Progress …, 2017 - iopscience.iop.org
We review concepts and methods associated with quantum discord and related topics. We
also describe their possible connections with other aspects of quantum information and …

Dynamics of quantum correlations in two-qubit systems within non-Markovian environments

RL Franco, B Bellomo, S Maniscalco… - International Journal of …, 2013 - World Scientific
Knowledge of the dynamical behavior of correlations with no classical counterpart, like
entanglement, nonlocal correlations and quantum discord, in open quantum systems is of …

Geometric quantum discord through the Schatten 1-norm

FM Paula, TR de Oliveira, MS Sarandy - Physical Review A—Atomic, Molecular …, 2013 - APS
It has recently been pointed out that the geometric quantum discord, as defined by the
Hilbert-Schmidt norm (2-norm), is not a good measure of quantum correlations, since it may …

Quantum teleportation and dynamics of quantum coherence and metrological non-classical correlations for open two-qubit systems

Y Dakir, A Slaoui, ABA Mohamed, RA Laamara… - Scientific Reports, 2023 - nature.com
We investigate the dynamics of non-classical correlations and quantum coherence in open
quantum systems by employing metrics like local quantum Fisher information, local quantum …

One-norm geometric quantum discord under decoherence

JD Montealegre, FM Paula, A Saguia… - Physical Review A—Atomic …, 2013 - APS
Geometric quantum discord is a well-defined measure of quantum correlation if Schatten
one-norm (trace norm) is adopted as a distance measure. Here, we analytically investigate …

Hierarchy and dynamics of trace distance correlations

B Aaronson, RL Franco, G Compagno… - New Journal of …, 2013 - iopscience.iop.org
We define and analyze measures of correlations for bipartite states based on trace distance.
For Bell diagonal states of two qubits, in addition to the known expression for quantum …

Building separable approximations for quantum states via neural networks

A Girardin, N Brunner, T Kriváchy - Physical Review Research, 2022 - APS
Finding the closest separable state to a given target state is a notoriously difficult task, even
more difficult than deciding whether a state is entangled or separable. To tackle this task, we …

Witnessed entanglement and the geometric measure of quantum discord

T Debarba, TO Maciel, RO Vianna - … Review A—Atomic, Molecular, and Optical …, 2012 - APS
We establish relations between geometric quantum discord and entanglement quantifiers
obtained by means of optimal witness operators. In particular, we prove a relation between …

The dynamics of local quantum uncertainty and trace distance discord for two-qubit X states under decoherence: a comparative study

A Slaoui, M Daoud, RA Laamara - Quantum Information Processing, 2018 - Springer
We employ the concepts of local quantum uncertainty and geometric quantum discord
based on the trace norm to investigate the environmental effects on quantum correlations of …