Practical approach for detecting k-nonseparability of multipartite quantum states  

作　　者：Jie Guo Jinchuan Hou Xiaofei Qi Kan He 

机构地区：[1]College of Mathematics,Taiyuan University of Technology,Taiyuan 030006,China [2]School of Mathematics and Statistics,Shanxi University,Taiyuan 030006,China [3]Key Laboratory of Complex Systems and Data Science of Ministry of Education,Shanxi University,Taiyuan 030006,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2025年第1期28-44,共17页中国科学:物理学、力学、天文学(英文版)

基　　金：partially supported by the National Natural Science Foundation of China(Grant Nos.12071336,12271394,and 12171290)。

摘　　要：The instantaneous detection of entanglement in quantum states poses a significant challenge in the fields of quantum computation and quantum information,and there are no practical methods or tools to complete this task satisfactorily so far.We propose a sufficient and necessary criterion of k-nonseparability for any n-partite finite or infinite dimensional systems,2≤k≤n.This criterion serves as the foundation for a practical scheme designed to detect entanglement and k-nonseparability across multipar-tite finite-dimensional systems.To exemplify the application of our scheme,we have developed a software tool that facilitates swift and precise identification of entanglement,k-nonseparability,and genuine entanglement within n-qubit systems,specifically tailored for systems with 2≤n≤4.

关 键 词：multipartite systems entanglement states entanglement witnesses k-nonseparability 

分 类 号：O413[理学—理论物理]