Monotonicity of skew information and its applications in quantum resource theory
Quantum Physics
2018-12-17 v4 Information Theory
math.IT
Abstract
We give an alternative proof of skew information via operator algebra approach and show its strong monotonicity under particular quantum TPCP maps. We then formulate a family of new resource measure if the resource can be characterized by a resource destroying map and the free operation should be also modified. Our measure is easy-calculating and applicable to the coherence resource theory as well as quantum asymmetry theory. The operational interpretation needs to be further investigated.
Keywords
Cite
@article{arxiv.1811.04254,
title = {Monotonicity of skew information and its applications in quantum resource theory},
author = {Weijing Li},
journal= {arXiv preprint arXiv:1811.04254},
year = {2018}
}