一类三量子比特 X 态的几何量子失协

数学物理学报 ›› 2024, Vol. 44 ›› Issue (5): 1144-1152.

一类三量子比特 X 态的几何量子失协

卫佳宁¹(),段周波^1,^*(),张钧^1,²()

¹太原理工大学数学学院太原 030024
²太原理工大学计算机科学与技术学院 (大数据学院) 太原 030024

收稿日期:2022-10-26 修回日期:2024-04-29 出版日期:2024-10-26 发布日期:2024-10-16
通讯作者: *段周波, E-mail: duanzhoubo@163.com
作者简介:卫佳宁, E-mail: weijianing21@163.com;|张钧, E-mail: zhang6347@163.com
基金资助:
国家自然科学基金(11771011);山西省自然科学基金(201801D221032);山西省自然科学基金(202303021211068);山西省回国留学人员科研资助项目(2023-081)

Geometric Discord for a Class of Three-Qubit X States

Wei Jianing¹(),Duan Zhoubo^1,^*(),Zhang Jun^1,²()

¹School of Mathematics, Taiyuan University of Technology, Taiyuan 030024
²College of Computer Science and Technology (College of Data Science), Taiyuan University of Technology, Taiyuan 030024

Received:2022-10-26 Revised:2024-04-29 Online:2024-10-26 Published:2024-10-16
Supported by:
National Natural Science Foundation of China(11771011);Natural Science Foundation of Shanxi Province(201801D221032);Natural Science Foundation of Shanxi Province(202303021211068);Shanxi Scholarship Council of China(2023-081)

摘要/Abstract

摘要：

基于 [Phys Rev Lett, 124, 110401 (2020)] 中提出的多体量子失协的定义, 该文通过测量诱导给出了依赖于四个实参数的一类三量子比特 X 态的几何量子失协解析表达式, 并给出了该类态几何量子失协的等高图. 作为应用, 该文研究了相位翻转信道下三量子比特 X 态几何量子失协的动力学行为.

关键词: 几何量子失协, 三量子比特 X 态, 相位翻转信道

Abstract:

Based on the definition of multipartite quantum discord proposed in [Phys Rev Lett, 124, 110401(2020)], we give the analytic expression for the multipartite geometric quantum discord of one type of three-qubit X states which depend on four real parameters by measurement induction. And we present the level surfaces of the class of three-qubit X states. As an application, we investigate the dynamic behavior of multipartite geometric quantum discord for the three-qubit X states under the phase flip channel.

Key words: Geometric quantum discord, Three-qubit X states, Phase flip channel

中图分类号:

O177

卫佳宁, 段周波, 张钧. 一类三量子比特 X 态的几何量子失协[J]. 数学物理学报, 2024, 44(5): 1144-1152.

Wei Jianing, Duan Zhoubo, Zhang Jun. Geometric Discord for a Class of Three-Qubit X States[J]. Acta mathematica scientia,Series A, 2024, 44(5): 1144-1152.

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