摘要
在量子信息理论中,量子纠缠态是一种非常重要的资源.探测给定量子态的纠缠性是一个极其重要的研究课题.2001年,Nielsen M A提出了一个判断两体量子态纠缠性的约化判据.之后,2005年William Hall又提出了一个有限维多体复合系统量子态的约化判据.将上述两类判据推广到了无限维多体量子系统情形,给出了无限维多体量子态全可分的两类约化判据.
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 are obtained for states in infinite dimensional multipartite quantum systems.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第14期296-301,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(11172194)
山西省青年科学基金资助(2011021002-2
2010011008)
关键词
无限维系统
BOCHNER积分
量子态
约化判据
infinite dimensional systems
bochner integral
quantum states
reduction criterion
