Majorization is a mathematical concept that deals with the comparison of vector sequences based on their components. It is primarily used in fields like mathematical analysis, economics, and information theory. The idea is to provide a way of comparing distributions of resources or quantities.
Articles by others on the same topic
For real vectors of equal length and equal sum, write when for every proper initial segment; the downward arrow means decreasing rearrangement. Majorization compares how unevenly a fixed total is distributed. The uniform probability vector is majorized by every probability vector, while majorizes every probability vector. The order controls exact pure-state entanglement conversion in Nielsen's pure-state conversion theorem.