A generalization of Schmidt number for multipartite states

被引：6
作者：
Guo, Yu [1 ]
Fan, Heng [2 ]
机构：
[1] Shanxi Datong Univ, Sch Math & Comp Sci, Datong 037009, Peoples R China
[2] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China
来源：
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2015年 / 13卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Schmidt number; Schmidt coefficients; multipartite system; entanglement measure; QUANTUM CORRELATION; ENTANGLEMENT;
D O I：
10.1142/S0219749915500252
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The Schmidt number is of crucial importance in characterizing the bipartite pure states. We explore and propose here a generalization of Schmidt number for states in multipartite systems. It is shown to be entanglement monotonic and valid for both pure and mixed states. In addition, the corresponding generalization of multipartite Schmidt coefficients is introduced. Our approach is applicable for systems with arbitrary number of parties and for arbitrary dimensions.
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页数：10
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