Operator Schmidt Rank and the Geometry of Schmidt Profiles

Mohsen Kian, Mohammad Sal Moslehian

The main result of the paper states that if $0\ne v\in {\mathbb{C}}^m\otimes {\mathbb{C}}^n$, $d=\min \{m,n\}$, and $p=SR(v)$, then for every $1\le q\le d$, \begin{equation*} \min\left\{OS…