On a multi-dimensional generalization of the notions of orthostochastic and unistochastic matrices

JOURNAL OF GEOMETRY AND PHYSICS

卷:74

Article

Gutkin, Eugene^1,2 

[1] Nicholas Copernicus Univ, Dept Math, PL-87100 Torun, Poland

[2] Polish Acad Sci, Math Inst, PL-00956 Warsaw, Poland

关键词: Bistochastic matrices;    Orthostochastic matrices;    Unistochastic matrices;    Quantization;    Internal degrees of freedom;   

DOI  :  10.1016/j.geomphys.2013.06.009

来源: Elsevier

【 摘 要 】

We introduce the notions of d-orthostochastic, d-unistochastic, and d-qustochastic matrices. These are the particular cases of e-bistochastic matrices for F = H, C, H. The concept is motivated by mathematical physics. When d = 1, we recover the orthostochastic, unistochastic, and qustochastic matrices respectively. Here we expose the basic properties of Fd-bistochastic matrices. (C) 2013 Published by Elsevier B.V.

【 授权许可】

Free