On the Preservers of Maximally Entangled States
We characterize the linear maps that preserve maximally entangled states in $L(\mathcal X \otimes \mathcal Y)$ in the case where $\dim(\mathcal X)$ divides $\dim(\mathcal Y)$.
math.FA↗
arXiv subjects
Ben W. Grossmann
Publications and source records attributed to Ben W. Grossmann.
Fractional Minimal Rank
The notion of fractional minimal rank of a partial matrix is introduced, a quantity that lies between the triangular minimal rank and the minimal rank of a partial matrix. The fractional minimal rank of partial matrices whose bipartite graph is a minimal cycle are determined. Along the way, we determine the minimal rank of a partial block matrix with invertible given entries that lie on a minimal cycle. Some open questions are stated.
math.FA↗