Enhanced Information Exclusion Relations
Yunlong Xiao, Naihuan Jing, Xianqing Li-Jost
TL;DR
This paper introduces new bounds for the information exclusion relation using majorization theory and combinatoric techniques, advancing the understanding of measurement overlaps in quantum information theory.
Contribution
It provides novel bounds for the information exclusion relation based on recent uncertainty relation developments, highlighting properties of measurement overlap matrices.
Findings
New bounds for information exclusion relation derived
Utilizes majorization theory and combinatoric methods
Reveals properties of measurement overlap matrices
Abstract
In Hall's reformulation of the uncertainty principle, the entropic uncertainty relation occupies a core position and provides the first nontrivial bound for the information exclusion principle. Based upon recent developments on the uncertainty relation, we present new bounds for the information exclusion relation using majorization theory and combinatoric techniques, which reveal further characteristic properties of the overlap matrix between the measurements.
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