1301.2537 (Eugene Gutkin)

On a multi-dimesional generalization of the notion of orthostochastic
and unistochastic matrices    [PDF]

Eugene Gutkin

We introduce the notions of $d$-orthostochastic, $d$-unistochastic, and $d$-qustochastic matrices. These are the particular cases of $F^d$-bistochastic matrices where $F$ is real or complex numbers or quaternions. The concept is motivated by mathematical physics. When $d=1$, we recover the orthostochastic, unistochastic, and qustochastic matrices respectively. This work exposes the basic properties of $F^d$-bistochastic matrices.

View original: http://arxiv.org/abs/1301.2537