The metric property of the quantum Jensen-Shannon divergence

DOI10.1016/j.aim.2021.107595zbMath1462.81026arXiv1910.10447OpenAlexW2981480531MaRDI QIDQ2227286

Dániel Virosztek

Publication date: 15 February 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.10447

zbMATH Keywords

quantum Jensen-Shannon divergencemetric property

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Positive matrices and their generalizations; cones of matrices (15B48) Applications of functional analysis in quantum physics (46N50) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (6)

Segmentation of quantum generated sequences by using the Jensen-Shannon divergence ⋮ Right mean for the \(\alpha - z\) Bures-Wasserstein quantum divergence ⋮ Identification of network topology changes based on \(r\)-power adjacency matrix entropy ⋮ Quantum divergences with \(p\)-power means ⋮ Quantum metrics based upon classical Jensen-Shannon divergence ⋮ Quantum Jensen-Shannon divergences between infinite-dimensional positive definite operators

Uses Software

• Muxviz

Cites Work

• Unnamed Item
• Maps on quantum states preserving Bregman and Jensen divergences
• Transformations on density operators that leave the Holevo bound invariant
• Expectations and entropy inequalities for finite quantum systems
• A quantum Jensen-Shannon graph kernel for unattributed graphs
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• Positive definite matrices and the S-divergence
• QUANTUM f-DIVERGENCES AND ERROR CORRECTION
• Metric Spaces and Positive Definite Functions
• Maps on positive definite matrices preserving Bregman and Jensen divergences

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