一类两体三参量态的量子纠缠特性  

Entanglement for a Three-parameter Class of States in Bipartite Quantum System

作　　者：刘冬冬[1] 狄尧民[2] 

机构地区：[1]徐州工程学院数学与物理科学学院 [2]徐州师范大学物理与电子工程学院

出　　处：《量子光学学报》2010年第4期283-288,共6页Journal of Quantum Optics

基　　金：江苏省高校自然科学基金(No:09KJB140010);徐州师范大学国家科研项目预研究基金(No:08XLY03);徐州工程学院自然科学青年教师科研基金(No:XKY2008210)

摘　　要：讨论了一类三参量量子态的纠缠特性。计算了2n量子系统该类态的concurrence,讨论了其形成纠缠度的下限。并计算了mn量子系统(2≤m≤n)该类态的负值度,得到了解析表达式。研究表明参量θ=π/4时,该类量子态的纠缠达到最大值,并归结为已有文献研究的一类二参量量子态。对于2n量子系统三参量量子态,其concurrence等于负值度,所有的PPT态都是可分离的,所有的NPT态都是纠缠的。对于高维情形,三参量态就没有类似的结论。Entanglement for a three-pa The concurrence for these states in 2 rameter class of states in bipartite 2 n quantum system is calculated uantum system is and their lower investigated. bound of the entanglement of formation is discussed. The negativity for these states in m n （2 ≤ m ≤ n） quantum system is calculated and the analytic expressions are obtained. Investigation reveals that for 0 = π/4, entanglement of the states reaches its maximum, and the states come down to the two-parameter class of states researched by some authors. For these three-parameter states in 2 n quantum system, all PPT states are separable, and all NPT states are entangled. But for higher dimensional three-parameter states, the similar conclusion does not exist.

关 键 词：量子纠缠 CONCURRENCE 负值度 三参量态 

分 类 号：O431[机械工程—光学工程]