ON POSITIVE AND POSITIVE PARTIAL TRANSPOSE MATRICES

被引：0
|
作者：
Gumus, Ibrahim Halil [1 ]
Moradi, Hamid Reza [2 ]
Sababheh, Mohammad [3 ]
机构：
[1] Adiyaman Univ, Fac Arts & Sci, Dept Math, Adiyaman, Turkey
[2] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad, Razavi Khorasan, Iran
[3] Princess Sumaya Univ Technol, Amman 11941, Jordan
来源：
ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2022年 / 38卷
关键词：
Positive partial transpose; block matrix; inequality; geometric mean; NUMERICAL RADIUS INEQUALITIES; BLOCK; SEPARABILITY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A block matrix [GRAPHICS] is positive partial transpose (PPT) if both [GRAPHICS] are positive semi-X* B X B definite. This class is significant in studying the separability criterion for density matrices. The current paper presents new relations for such matrices. This includes some equivalent forms and new related inequalities that extend some results from the literature. In the end of the paper, we present some related results for positive semi-definite block matrices, which have similar forms as those presented for PPT matrices, with applications that include significant improvement of numerical radius inequalities.
引用
收藏
页码：792 / 802
页数：11
相关论文
共 50 条
  • [1] ON POSITIVE PARTIAL TRANSPOSE MATRICES
    Gumus, Mehmet
    Liu, Jianzhen
    Raouafi, Samir
    Tam, Tin-Yau
    [J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2020, 36 : 256 - 264
  • [2] Inertia of partial transpose of positive semidefinite matrices
    Liang, Yixuan
    Yan, Jiahao
    Si, Dongran
    Chen, Lin
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2024, 57 (12)
  • [3] Partial trace inequalities for partial transpose of positive semidefinite block matrices
    Yang, Junjian
    Xu, Huan
    [J]. POSITIVITY, 2024, 28 (02)
  • [4] Partial trace inequalities for partial transpose of positive semidefinite block matrices
    Junjian Yang
    Huan Xu
    [J]. Positivity, 2024, 28
  • [5] Extreme points of the set of density matrices with positive partial transpose
    Leinaas, J. M.
    Myrheim, J.
    Ovrum, E.
    [J]. PHYSICAL REVIEW A, 2007, 76 (03):
  • [6] LINEAR MAPS OF POSITIVE PARTIAL TRANSPOSE MATRICES AND SINGULAR VALUE INEQUALITIES
    Fu, Xiaohui
    Lau, Pan-Shun
    Tam, Tin-Yau
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (04): : 1459 - 1468
  • [7] Unextendible product bases and extremal density matrices with positive partial transpose
    Sollid, Per Oyvind
    Leinaas, Jon Magne
    Myrheim, Jan
    [J]. PHYSICAL REVIEW A, 2011, 84 (04):
  • [8] A note on positive partial transpose blocks
    Alakhrass, Moh.
    [J]. AIMS MATHEMATICS, 2023, 8 (10): : 23747 - 23755
  • [9] Positive partial transpose from spectra
    Hildebrand, Roland
    [J]. PHYSICAL REVIEW A, 2007, 76 (05):
  • [10] Circulant states with positive partial transpose
    Chruscinski, Dariusz
    Kossakowski, Andrzej
    [J]. PHYSICAL REVIEW A, 2007, 76 (03):
12345