Detection of Multipartite Entanglement Based on Heisenberg-Weyl Representation of Density Matrices

被引：0
|
作者：
Hui Zhao
Yu Yang
Naihuan Jing
Zhi-Xi Wang
Shao-Ming Fei
机构：
[1] Faculty of Science,Department of Mathematics
[2] Beijing University of Technology,Department of Mathematics
[3] North Carolina State University,School of Mathematical Sciences
[4] Capital Normal University,undefined
[5] Max-Planck-Institute for Mathematics in the Sciences,undefined
来源：
International Journal of Theoretical Physics | / 61卷
关键词：
Heisenberg-Weyl representation; Genuine entanglement; Correlation tensor;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study entanglement and genuine entanglement of tripartite and four-partite quantum states by using Heisenberg-Weyl (HW) representation of density matrices. Based on the correlation tensors in HW representation, we present criteria to detect entanglement and genuine tripartite and four-partite entanglement. Detailed examples show that our method can detect more entangled states than previous criteria.
引用
收藏
相关论文
共 40 条
  • [31] Optimal multipartite entanglement concentration of electron-spin states based on charge detection and projection measurements
    Ren, Bao-Cang
    Wei, Hai-Rui
    Li, Tao
    Hua, Ming
    Deng, Fu-Guo
    QUANTUM INFORMATION PROCESSING, 2014, 13 (04) : 825 - 838
  • [32] Optimal multipartite entanglement concentration of electron-spin states based on charge detection and projection measurements
    Bao-Cang Ren
    Hai-Rui Wei
    Tao Li
    Ming Hua
    Fu-Guo Deng
    Quantum Information Processing, 2014, 13 : 825 - 838
  • [33] Multipartite entanglement detection based on the generalized state-dependent entropic uncertainty relation for multiple measurements
    Ren, Li -Hang
    Shi, Yun-Hao
    Chen, Jin-Jun
    Fan, Heng
    PHYSICAL REVIEW A, 2023, 107 (05)
  • [34] Improved Density Peaking Algorithm for Community Detection Based on Graph Representation Learning
    Wang, Jiaming
    Xie, Xiaolan
    Cheng, Xiaochun
    Wang, Yuhan
    COMPUTER SYSTEMS SCIENCE AND ENGINEERING, 2022, 43 (03): : 997 - 1008
  • [35] Overlapping Community Detection Method Based on Network Representation Learning and Density Peaks
    Liu, Hongtao
    Li, Gege
    IEEE ACCESS, 2020, 8 : 226506 - 226514
  • [36] RDF: A density-based Outlier detection method using vertical data representation
    Ren, DM
    Wang, BY
    Perrizo, W
    FOURTH IEEE INTERNATIONAL CONFERENCE ON DATA MINING, PROCEEDINGS, 2004, : 503 - 506
  • [37] Gait Recognition Using Density-Based Outlier Detection and Location Fusion by Sparse Representation
    Tu, Bin-bin
    Xu, Hui
    Xie, Xie
    2019 INTERNATIONAL CONFERENCE ON ENERGY, POWER, ENVIRONMENT AND COMPUTER APPLICATION (ICEPECA 2019), 2019, 334 : 346 - 350
  • [38] Local density based potential dictionary construction for low rank representation in hyperspectral anomaly detection
    Yu, Shaoqi
    Li, Xiaorun
    Zhao, Liaoying
    Qiu, Qunhui
    ALGORITHMS, TECHNOLOGIES, AND APPLICATIONS FOR MULTISPECTRAL AND HYPERSPECTRAL IMAGERY XXVI, 2020, 11392
  • [39] Quantitative and qualitative comparison of density-based purification methods for detection of Cryptosporidium oocysts in turbid environmental matrices
    Chesnot, T
    Schwartzbrod, J
    JOURNAL OF MICROBIOLOGICAL METHODS, 2004, 58 (03) : 375 - 386
  • [40] A Hyperspectral Anomaly Detection Method Based on Low-Rank and Sparse Decomposition With Density Peak Guided Collaborative Representation
    Feng, Shou
    Tang, Shulu
    Zhao, Chunhui
    Cui, Ying
    IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 2022, 60
1234