The entropy of quantum causal networks

• URL: http://arxiv.org/abs/2103.07591v1
• Date: Sat, 13 Mar 2021 01:34:44 GMT
• Title: The entropy of quantum causal networks
• Authors: Xian Shi, Lin Chen
• Abstract summary: We consider the quantum causal networks in the manner of entropy. We present a revised smooth max-relative entropy of quantum combs. At last, we consider the score to quantify the performance of an operator.
• Score: 8.000004776730265
• License: http://creativecommons.org/publicdomain/zero/1.0/
• 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.

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