Robustness of entanglement for W and Greenberger–Horne–Zeilinger mixed states

被引：0
作者：
Zhen Zhu [1 ]
Guo-Lin Lv [2 ]
Maoke Miao [2 ]
Xiao-Yu Chen [3 ]
机构：
[1] Collage of Information Engineering, Zhejiang University of Technology, Zhejiang, Hangzhou
[2] School of Information and Electrical Engineering, Hangzhou City University, Zhejiang, Hangzhou
[3] Collage of Information Science and Electronic Engineering, Zhejiang University, Zhejiang, Hangzhou
[4] Foundation Science Education Center, Hangzhou City University, Zhejiang, Hangzhou
来源：
Quantum Information Processing | / 24卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Greenberger–Horne–zeilinger states; Mixed states; Robustness of entanglement; W states;
D O I：
10.1007/s11128-024-04620-6
中图分类号：
学科分类号：
摘要：
Quantum entanglement is one of the most crucial resources in quantum information. Its robustness, in a certain sense, quantifies the tolerance of entanglement against noise and interference. By studying the robustness of entanglement for mixed states composed of entangled pure states, it’s helpful to understand the robustness of entanglement in more general states. In this work, we present an analytical method for evaluating the robustness of entanglement for W and GHZ mixed states involving three and four qubits. By employing the definition of the robustness of entanglement and analyzing the entanglement witness, we establish tight upper and lower bounds for the robustness of these mixed states. The calculated results demonstrate the accuracy of our approach, offering insights for studying the robustness of entanglement for general quantum states. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.
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