A lower bound of quantum conditional mutual information

2014/03/31 by Lin Zhang, Junde Wu
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Mathematics #Mutual information #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Statistics #Upper and lower bounds #math-ph #math.MP #math.OA #quant-ph

paper · pdf · doi:10.1088/1751-8113/47/41/415303

published as J. Phys. A: Math. Theor. 47 (2014) 415303 · 11 pages, LaTeX, published version. The missed second author is also added

arxiv created 2014/09/29 · openalex publication_date 2014/09/29 · arxiv updated 2014/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, a lower bound of quantum conditional mutual information is obtained by employing the Peierls–Bogoliubov inequality and the Golden–Thompson inequality. Comparison with the bounds obtained by other researchers indicates that our result is independent of any measurements. It may give some new insights into squashed entanglement and perturbations of Markov chain states.

Citations

• MONOTONICITY OF QUANTUM RELATIVE ENTROPY REVISITED
• SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS
• Structure of States Which Satisfy Strong Subadditivity of Quantum Entropy with Equality
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• Conditional Mutual Information and Commutator