The entropy of quantum causal networks
Quantum Physics
2021-03-16 v1
Abstract
Quantum networks play a key role in many scenarios of quantum information theory. Here we consider the quantum causal networks in the manner of entropy. First we present a revised smooth max-relative entropy of quantum combs, then we present a lower and upper bound of a type II error of the hypothesis testing. Next we present a lower bound of the smooth max-relative entropy for the quantum combs with asymptotic equipartition. At last, we consider the score to quantify the performance of an operator. We present a quantity equaling to the smooth asymptotic version of the performance of a quantum positive operator.
Cite
@article{arxiv.2103.07591,
title = {The entropy of quantum causal networks},
author = {Xian Shi and Lin Chen},
journal= {arXiv preprint arXiv:2103.07591},
year = {2021}
}