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arXiv · 0711.1211

Differential Geometry of Bipartite Quantum States

Zuhuan Yu·Xianqing Jost-Li·Qingzhong Li·Jintao Lv·Shao-Ming Fei
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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.

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Zuhuan Yu, Xianqing Jost-Li, Qingzhong Li, Jintao Lv, Shao-Ming Fei. 2007-11-08. Differential Geometry of Bipartite Quantum States. https://doi.org/10.1016/s0034-4877(07)80104-2

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