Separability of three qubit Greenberger-Horne-Zeilinger diagonal states

被引：11

作者：

Han, Kyung Hoon ^{[1
]}

Kye, Seung-Hyeok ^{[2
,3
]}

机构：

[1] Univ Suwon, Dept Math, Gyeonggi Do 445743, South Korea

[2] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea

[3] Seoul Natl Univ, Inst Math, Seoul 151742, South Korea

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2017年 / 50卷 / 14期

关键词：

Greenberger-Horne-Zeilinger states; separable states; entanglement witnesses; POSITIVE LINEAR-MAPS; QUANTUM ENTANGLEMENT; CRITERION; INEQUALITIES;

D O I：

10.1088/1751-8121/aa616b

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We characterize the separability of three qubit GHZ diagonal states in terms of entries. This enables us to check separability of GHZ diagonal states without decomposition into the sum of pure product states. In the course of discussion, we show that the necessary criterion of Guhne (2011 Entanglement criteria and full separability of multi-qubit quantum states Phys. Lett. A 375 406-10) for (full) separability of three qubit GHZ diagonal states is sufficient with a simpler formula. The main tool is to use entanglement witnesses which are tri-partite Choi matrices of positive bi-linear maps.

引用

页数：17

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