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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
35/2007

Differential Geometry of Bipartite Quantum States

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

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.

Received:
Apr 5, 2007
Published:
Apr 5, 2007
PACS:
03.67.-a, 03.65.Ud, 02.40.-k
Keywords:
differential geometry, bipartite states, Manifold

Related publications

inJournal
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