摘要
The positive partial transposition(PPT)criterion and the realignment criterion constitute two of the most important criteria for detecting entanglement.The generalized 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 infinitedimensional multipartite(bipartite)case and show that it includes multipartite(bipartite)PPT criterion and multipartite(bipartite)realignment criterion as special cases as well.
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 cliterion 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） ,-ealignment criterion as special cases as well.
基金
partially supported by the National Natural Science Foundation of China(11171249,11301312,11101250)
Research Fund for the Doctoral Program of Higher Education of China(20101402110012)
China Postdoctoral Science Foundation funded project the Natural Science Foundation of Shanxi(2013021001-1)
Research Start-up Fundfor Doctors of Shanxi Datong University(2011-B-01)
关键词
局部换位
标准
量子系统
无限维
广义
PPT
GPT
无穷维
Quantum state . Entanglement . Generalized partial transposition . Realignment Infinite-dimensional Hilbert space
