Differential geometry of bipartite quantum states

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. T...

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Bibliographic Details
Published in:Reports on mathematical physics 2007-08, Vol.60 (1), p.125-133
Main Authors: Yu, Zuhuan, Jost-Li, Xianqing, Li, Qingzhong, Lv, Jintao, Fei, Shao-Ming
Format: Article
Language:English
Subjects:
02.40.-k
03.65.Ud
03.67.-a
bipartite states
differential geometry
manifold
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Summary: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.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(07)80104-2