Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

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