Entanglement Witnesses Based on Symmetric Informationally Complete Measurements

被引：12
|
作者：
Li, Tao [1 ]
Lai, Le-Min [2 ]
Liang, Deng-Feng [1 ]
Fei, Shao-Ming [2 ,3 ]
Wang, Zhi-Xi [2 ]
机构：
[1] Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China
[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[3] Max Planck Inst Math Sci, D-04103 Leipzig, Germany
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2020年 / 59卷 / 11期
基金：
北京市自然科学基金;
关键词：
Entanglement witness; SIC-POVM; SEPARABILITY; CRITERION; STATES;
D O I：
10.1007/s10773-020-04615-w
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study entanglement witness and present a construction of entanglement witnesses in terms of the symmetric informationally complete measurements (SIC-POVM). The capability of our witness is shown by some examples and it can be found this witness detects more entanglement than previous separability method given also by SIC-POVM. What's more, comparing with the dimension dependence of SIC-POVM, we also give the entanglement witnesses can be always constructed from general symmetric informationally complete measurements (GSIC-POVM).
引用
收藏
页码：3549 / 3557
页数：9
相关论文
共 50 条
  • [1] Entanglement Witnesses Based on Symmetric Informationally Complete Measurements
    Tao Li
    Le-Min Lai
    Deng-Feng Liang
    Shao-Ming Fei
    Zhi-Xi Wang
    International Journal of Theoretical Physics, 2020, 59 : 3549 - 3557
  • [2] The entanglement criteria via a broad class of symmetric informationally complete measurements
    Tang, Liang
    QUANTUM INFORMATION PROCESSING, 2023, 22 (01)
  • [3] Enhanced entanglement criterion via symmetric informationally complete measurements
    Shang, Jiangwei
    Asadian, Ali
    Zhu, Huangjun
    Guehne, Otfried
    PHYSICAL REVIEW A, 2018, 98 (02)
  • [4] Indecomposability of entanglement witnesses constructed from symmetric measurements
    Siudzinska, Katarzyna
    SCIENTIFIC REPORTS, 2022, 12 (01)
  • [5] Entanglement properties of multipartite informationally complete quantum measurements
    Czartowski, Jakub
    Goyeneche, Dardo
    Zyczkowski, Karol
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (30)
  • [6] Construction of all general symmetric informationally complete measurements
    Gour, Gilad
    Kalev, Amir
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (33)
  • [7] Schmidt number criterion via general symmetric informationally complete measurements
    Wang, Zhen
    Sun, Bao-Zhi
    Fei, Shao-Ming
    Wang, Zhi-Xi
    QUANTUM INFORMATION PROCESSING, 2024, 23 (12)
  • [8] Mutually unbiased bases and symmetric informationally complete measurements in Bell experiments
    Tavakoli, Armin
    Farkas, Mate
    Rosset, Denis
    Bancal, Jean-Daniel
    Kaniewski, Jedrzej
    SCIENCE ADVANCES, 2021, 7 (07)
  • [9] Constructing exact symmetric informationally complete measurements from numerical solutions
    Appleby, Marcus
    Chien, Tuan-Yow
    Flammia, Steven
    Waldron, Shayne
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (16)
  • [10] Spectral properties of symmetric quantum states and symmetric entanglement witnesses
    Champagne, Gabriel
    Johnston, Nathaniel
    MacDonald, Mitchell
    Pipes, Logan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2022, 649 : 273 - 300
12345