中国物理B ›› 2021, Vol. 30 ›› Issue (10): 100306-100306.doi: 10.1088/1674-1056/abfb5e

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Detection of the quantum states containingat most k-1 unentangled particles

Yan Hong(宏艳)1, Xianfei Qi(祁先飞)2, Ting Gao(高亭)3,†, and Fengli Yan(闫凤利)4,‡   

  1. 1 School of Mathematics and Science, Hebei GEO University, Shijiazhuang 050031, China;
    2 School of Mathematics and Statistics, Shangqiu Normal University, Shangqiu 476000, China;
    3 School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China;
    4 College of Physics, Hebei Normal University, Shijiazhuang 050024, China
  • 收稿日期:2021-01-31 修回日期:2021-04-05 接受日期:2021-04-26 出版日期:2021-09-17 发布日期:2021-09-26
  • 通讯作者: Ting Gao, Fengli Yan E-mail:gaoting@hebtu.edu.cn;flyan@hebtu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 12071110, 11701135 and 11947073), Hebei Natural Science Foundation of China (Grant Nos. A2020205014, A2018205125, and A2017403025), Science and Technology Project of Hebei Education Department, China (Grant Nos. ZD2020167 and ZD2021066), and the Foundation of Hebei GEO University (Grant No. BQ201615).

Detection of the quantum states containingat most k-1 unentangled particles

Yan Hong(宏艳)1, Xianfei Qi(祁先飞)2, Ting Gao(高亭)3,†, and Fengli Yan(闫凤利)4,‡   

  1. 1 School of Mathematics and Science, Hebei GEO University, Shijiazhuang 050031, China;
    2 School of Mathematics and Statistics, Shangqiu Normal University, Shangqiu 476000, China;
    3 School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China;
    4 College of Physics, Hebei Normal University, Shijiazhuang 050024, China
  • Received:2021-01-31 Revised:2021-04-05 Accepted:2021-04-26 Online:2021-09-17 Published:2021-09-26
  • Contact: Ting Gao, Fengli Yan E-mail:gaoting@hebtu.edu.cn;flyan@hebtu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 12071110, 11701135 and 11947073), Hebei Natural Science Foundation of China (Grant Nos. A2020205014, A2018205125, and A2017403025), Science and Technology Project of Hebei Education Department, China (Grant Nos. ZD2020167 and ZD2021066), and the Foundation of Hebei GEO University (Grant No. BQ201615).

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摘要： There are many different classifications of entanglement for multipartite quantum systems, one of which is based on the number of the unentangled particles. In this paper, we mainly study the quantum states containing at most k-1 unentangled particles and provide several entanglement criteria based on the different forms of inequalities, which can both identify quantum states containing at most k-1 unentangled particles. We show that these criteria are more effective for some states by concrete examples.

关键词: multipartite entanglement, k-1 unentangled particles, Cauchy-Schwarz inequality

Abstract: There are many different classifications of entanglement for multipartite quantum systems, one of which is based on the number of the unentangled particles. In this paper, we mainly study the quantum states containing at most k-1 unentangled particles and provide several entanglement criteria based on the different forms of inequalities, which can both identify quantum states containing at most k-1 unentangled particles. We show that these criteria are more effective for some states by concrete examples.

Key words: multipartite entanglement, k-1 unentangled particles, Cauchy-Schwarz inequality

中图分类号:  (Entanglement measures, witnesses, and other characterizations)

  • 03.67.Mn
03.65.Ud (Entanglement and quantum nonlocality)