An entanglement criterion for states in infinite-dimensional multipartite quantum systems

Yinzhu Wang, Jinchuan Hou, Yu Jing Guo

Yinzhu Wang, Danxia Wang, Li Huang

Wang Yin-zh

In quantum information theory,quantum entangled state is a class very important resource.Detecting entanglement for states is a extremely important problem.In 2001,Nielsen M A proposed a reduction criterion,then William Hall proposed a different reduction criterion for multipartite finite dimensional systems in 2005.In this paper,we generalized above two reduction criteria to infinite dimensional multipartite quantum systems.Two class reduction criteria axe obtained for states in infinite dimensional multipartite quantum systems.

Siqing YanYu GuoJinchuan Hou

The positive partial transposition (PPT) criterion and the realignment criterion constitute two of the most important criteria for detecting entanglement. The general- ized partial transposition (GPT) criterion which contains the PPT criterion and the realignment criterion as special cases, provides a necessary condition for a multipartite state to be separable. Here we extend the GPT criterion to the infinite- dimensional multipartite (bipartite) case and show that it includes multipartite (bipartite) PPT criterion and multipartite (bipartite) realignment criterion as special cases as well.

Jinchuan Hou, Yu Jing Guo

J. D. M. Vianna, Marco A. S. Trindade, M.C.B. Fernandes