Reduced relative quantum entropy

2022/09/11 by Frank Hansen, Hansen, Frank
Physics and Astronomy · #15A45 #2020 47A63 #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.2209.06118

openalex publication_date 2022/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the notion of reduced relative quantum entropy and prove that it is convex. This result is then used to give a simplified proof of a theorem of Lieb and Seiringer.

Related

• Quantum Stein's lemma revisited, inequalities for quantum entropies, and a concavity theorem of Lieb
• Bounds for the reduced relative entropies
• Relative entropy in quantum information theory
• Mixing Property of Quantum Relative Entropy
• On the Monotonicity of relative entropy: A Comparative Study of Petz's and Uhlmann's Approaches