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MiS Preprint

Differential Geometry of Bipartite Quantum States

Zuhuan Yu, Xianqing Li-Jost, Qingzhong Li, Jintao Lv and Shao-Ming Fei


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.

Apr 5, 2007
Apr 5, 2007
03.67.-a, 03.65.Ud, 02.40.-k
differential geometry, bipartite states, Manifold

Related publications

2007 Repository Open Access
Zu-Huan Yu, Xianqing Li-Jost, Qing-Zhong Li, Jintao Lv and Shao-Ming Fei

Differential geometry of bipartite quantum states

In: Reports on mathematical physics, 60 (2007) 1, pp. 125-133