2006/10/18 by Koenraad M. R. Audenaert · 1 citation
Mathematics · Physics and Astronomy · #Applied mathematics #Computer science #Entropy (arrow of time) #Generalized relative entropy #Inequality #Law #Mathematical analysis #Mathematics #Norm (philosophy) #Numerical methods in inverse problems #Physics #Pure mathematics #Quantum #Quantum discord #Quantum mechanics #Quantum relative entropy #Sharpening #TRACE (psycholinguistics) #Von Neumann architecture #Von Neumann entropy #quant-ph
paper · pdf · doi:10.1088/1751-8113/40/28/s18
published as J. Phys. A 40, 8127--8136 (2007). · 5 pages, 3 figures
arxiv created 2006/10/18 · openalex publication_date 2007/06/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We derive an inequality relating the entropy difference between two quantum states to their trace norm distance, sharpening a well-known inequality due to Fannes. In our inequality, equality can be attained for every prescribed value of the trace norm distance.