Maximal lexicographic spectra and ranks for states with fixed uniform margins

Xin Li

We find the spectrum in maximal lexicographic order for quantum states ${\rho }_{AB}\in {\mathcal{H}}_A\otimes {\mathcal{H}}_B$ with margins ${\rho }_A=\frac{1}{n}{I}_n$ and ${\rho }_B=\frac{1}{m}{I}_m$ and…