Entropy Uncertainty Relations and Strong Sub-additivity of Quantum Channels
Quantum Physics
2023-01-23 v1 Operator Algebras
Abstract
We prove an entropic uncertainty relation for two quantum channels, extending the work of Frank and Lieb for quantum measurements. This is obtained via a generalized strong super-additivity (SSA) of quantum entropy. Motivated by Petz's algebraic SSA inequality, we also obtain a generalized SSA for quantum relative entropy. As a special case, it gives an improved data processing inequality.
Keywords
Cite
@article{arxiv.2301.08402,
title = {Entropy Uncertainty Relations and Strong Sub-additivity of Quantum Channels},
author = {Li Gao and Marius Junge and Nicholas LaRacuente},
journal= {arXiv preprint arXiv:2301.08402},
year = {2023}
}
Comments
33 pages. Comments are welcome!