New monotonicity property of the quantum relative entropy
Quantum Physics
2025-02-18 v1 Information Theory
Mathematical Physics
math.IT
math.MP
Operator Algebras
Abstract
It is proved that the local discontinuity jumps of the quantum relative entropy do not increase under action of quantum channels and operations.
Cite
@article{arxiv.2212.07999,
title = {New monotonicity property of the quantum relative entropy},
author = {M. E. Shirokov},
journal= {arXiv preprint arXiv:2212.07999},
year = {2025}
}
Comments
9 pages, preliminary version, any comments are welcome. arXiv admin note: text overlap with arXiv:2205.10341, arXiv:2205.09108