The Saturation of Several Universal Inequalities in Information-Processing
Lin Zhang, Junde Wu, Shao-Ming Fei
TL;DR
This paper investigates the conditions under which several key universal inequalities in quantum information theory become equalities, providing new insights into the structure of quantum information.
Contribution
It characterizes the saturation conditions of four fundamental quantum information inequalities, enhancing understanding of their equality cases.
Findings
Saturation conditions for strong subadditivity are characterized.
Saturation of the coherent information inequality is analyzed.
Conditions for equality in Holevo quantity and average entropy inequalities are identified.
Abstract
In this paper, we characterize the saturation of four universal inequalities in quantum information theory, including a variant version of strong subadditivity inequality for von Neumann entropy, the coherent information inequality, the Holevo quantity and average entropy inequalities. These results shed new light on quantum information inequalities.
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