ENTANGLEMENT OF CONVEX LINEAR COMBINATION AND CONSTRUCTION OF PPT ENTANGLED STATES

被引：1

作者：

Cheng, Wei ^{[1
]}

Xu, Fang ^{[2
]}

Li, Hua ^{[3
]}

Wang, Gang ^{[4
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Comp Sci & Engn, Chengdu 611731, Peoples R China

[2] Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R China

[3] Univ Elect Sci & Technol China, Sch Phys Elect, Chengdu 611731, Peoples R China

[4] Univ Elect Sci & Technol China, Sch Elect Engn, Chengdu 611731, Peoples R China

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2013年 / 11卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Quantum entanglement; PPT entangled states; convex linear combination; BOUND ENTANGLEMENT; QUANTUM; SEPARABILITY; DYNAMICS; CRITERION; EVOLUTION;

D O I：

10.1142/S0219749913500020

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Given two bipartite quantum states and the convex linear combination of them, we discuss the relation between the entanglement of the convex linear combination state and the entanglement of states being combined. This is achieved by characterizing quantum states quantitatively via the positive partial transpose (PPT) criterion and the computable cross-norm or realignment (CCNR) criterion. Inspired by the Horodecki's 3 circle times 3 quantum states, we also give explicit examples to illustrate all possible cases of convex linear combination. Finally, as an application of this method, we show how to construct new bipartite PPT entangled states from known PPT entangled states by convex linear combination.

引用

页数：21

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