

Preprint 35/2007
Differential Geometry of Bipartite Quantum States
Zuhuan Yu, Xianqing Li-Jost, Qingzhong Li, Jintao Lv, and Shao-Ming Fei
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Submission date: 05. Apr. 2007
Pages: 12
published in: Reports on mathematical physics, 60 (2007) 1, p. 125-133
DOI number (of the published article): 10.1016/S0034-4877(07)80104-2
Bibtex
PACS-Numbers: 03.67.-a, 03.65.Ud, 02.40.-k
Keywords and phrases: differential geometry, bipartite states, Manifold
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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.