Differential Geometry of Bipartite Quantum States
Quantum Physics
2009-11-13 v1
Abstract
We investigate the differential geometry of bipartite quantum states. In particular the manifold structures of pure bipartite states are studied in detail. The manifolds with respect to all normalized pure states of arbitrarily given Schmidt ranks or Schmidt coefficients are explicitly presented. The dimensions of the related manifolds are calculated.
Cite
@article{arxiv.0711.1211,
title = {Differential Geometry of Bipartite Quantum States},
author = {Zuhuan Yu and Xianqing Jost-Li and Qingzhong Li and Jintao Lv and Shao-Ming Fei},
journal= {arXiv preprint arXiv:0711.1211},
year = {2009}
}
Comments
10 pages