Nonlinear entanglement witnesses for four qubits in mutually unbiased bases

被引：3

作者：

Aghayar, K. ^{[1
]}

Heshmati, A. ^{[2
]}

Jafarizadeh, M. A. ^{[3
]}

机构：

[1] Urmia Univ, Dept Phys, 11 Km Sero Rd, Orumiyeh, Iran

[2] Islamic Azad Univ, Shabestar Branch, Dept Phys, Shabestar, Iran

[3] Univ Tabriz, Dept Theoret Phys & Astrophys, Tabriz, Iran

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2020年 / 2020卷 / 06期

关键词：

entanglement in extended quantum systems; quantum information; QUANTUM COMMUNICATION; STATES; SEPARABILITY; TELEPORTATION; CONCURRENCE; SYSTEMS;

D O I：

10.1088/1742-5468/ab900e

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Entanglement witness is a Hermitian operator that is useful for detecting the genuine multipartite entanglement of mixed states. Nonlinear entanglement witnesses have the advantage of a wider detection range in the entangled region. We construct genuine entanglement witnesses for four qubits density matrices in the mutually unbiased basis. First, we find the convex feasible region with positive partial transpose states. Then, to reveal the entangled regions, we present some appropriate linear entanglement witnesses and, we find the envelope of this family of linear witnesses as a nonlinear witness. Finally, we study thermal entanglement and we show for some Hamiltonians the witnesses can detect the entanglement at all temperatures.

引用

页数：27

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