Properties of classical and quantum Jensen-Shannon divergence

J Briët, P Harremoës - Physical Review A—Atomic, Molecular, and Optical …, 2009 - APS
Jensen-Shannon divergence (JD) is a symmetrized and smoothed version of the most
important divergence measure of information theory, Kullback divergence. As opposed to …

A family of generalized quantum entropies: definition and properties

GM Bosyk, S Zozor, F Holik, M Portesi… - Quantum Information …, 2016 - Springer
We present a quantum version of the generalized (h, ϕ)(h, ϕ)-entropies, introduced by
Salicrú et al. for the study of classical probability distributions. We establish their basic …

Universal Bounds for the Holevo Quantity, Coherent Information,<? format?> and the Jensen-Shannon Divergence

W Roga, M Fannes, K Życzkowski - Physical review letters, 2010 - APS
The mutual information between the sender of a classical message encoded in quantum
carriers and a receiver is fundamentally limited by the Holevo quantity. Using strong …

On the similarity between von Neumann graph entropy and structural information: Interpretation, computation, and applications

X Liu, L Fu, X Wang, C Zhou - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
The von Neumann graph entropy is a measure of graph complexity based on the Laplacian
spectrum. It has recently found applications in various learning tasks driven by the …

Jensen divergence based on Fisher's information

P Sánchez-Moreno, A Zarzo… - Journal of Physics A …, 2012 - iopscience.iop.org
Abstract The measure of Jensen–Fisher divergence between probability distributions is
introduced and its theoretical grounds set up. This quantity, in contrast to the remaining …

Distinguishability of generic quantum states

Z Puchała, Ł Pawela, K Życzkowski - Physical Review A, 2016 - APS
Properties of random mixed states of dimension N distributed uniformly with respect to the
Hilbert-Schmidt measure are investigated. We show that for large N, due to the …

Spin squeezing and entanglement via finite-dimensional discrete phase-space description

MA Marchiolli, D Galetti, T Debarba - International Journal of …, 2013 - World Scientific
We show how mapping techniques inherent to N2-dimensional discrete phase spaces can
be used to treat a wide family of spin systems which exhibits squeezing and entanglement …

Bridging the gap between von Neumann graph entropy and structural information: Theory and applications

X Liu, L Fu, X Wang - Proceedings of the Web Conference 2021, 2021 - dl.acm.org
The von Neumann graph entropy (VNGE) is a measure of graph complexity based on the
Laplacian spectrum. It has recently found applications in various learning tasks driven by …

Quantum distinguishability measures: Projectors versus state maximization

AA Budini, RLM Filho, MF Santos - Physical Review A, 2024 - APS
The distinguishability between two quantum states can be defined in terms of their trace
distance. The operational meaning of this definition involves a maximization over …

Comment on “Improved bounds on entropic uncertainty relations”

GM Bosyk, M Portesi, A Plastino, S Zozor - Physical Review A—Atomic …, 2011 - APS
We provide an analytical proof of the entropic uncertainty relations presented by JI de
Vicente and J. Sánchez-Ruiz [Phys. Rev. A 77, 042110 (2008) PLRAAN 1050-2947 …