Spectral conditions for positive maps and entanglement witnesses

被引:4
|
作者
Chruscinski, Dariusz [1 ]
Kossakowski, Andrzej [1 ]
机构
[1] Nicholas Copernicus Univ, Inst Phys, PL-87100 Torun, Poland
关键词
LINEAR-MAPS; MATRIX ALGEBRAS; SEPARABILITY CRITERION; QUANTUM STATES; SPIN FACTORS; AUTOMORPHISMS;
D O I
10.1088/1742-6596/284/1/012017
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We provide partial classification of entanglement witnesses and positive maps which is based on a family of spectral conditions. Interestingly many well known examples of positive maps (e.g. transposition, reduction map, the family of Choi maps) belong to the class constructed via spectral conditions.
引用
收藏
页数:9
相关论文
共 50 条
  • [31] Extremal entanglement witnesses
    Hansen, Leif Ove
    Hauge, Andreas
    Myrheim, Jan
    Sollid, Per Oyvind
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2015, 13 (08)
  • [32] Quantitative entanglement witnesses
    Eisert, J.
    Brandao, F. G. S. L.
    Audenaert, K. M. R.
    NEW JOURNAL OF PHYSICS, 2007, 9
  • [33] Mirrored entanglement witnesses
    Joonwoo Bae
    Dariusz Chruściński
    Beatrix C. Hiesmayr
    npj Quantum Information, 6
  • [34] Quantumness and entanglement witnesses
    Facchi, Paolo
    Pascazio, Saverio
    Vedral, Vlatko
    Yuasa, Kazuya
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (10)
  • [35] Optimization of entanglement witnesses
    Lewenstein, M
    Kraus, B
    Cirac, JI
    Horodecki, P
    PHYSICAL REVIEW A, 2000, 62 (05): : 052310 - 052311
  • [36] Inertias of entanglement witnesses
    Shen, Yi
    Chen, Lin
    Zhao, Li-Jun
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 53 (48)
  • [37] Mirrored entanglement witnesses
    Bae, Joonwoo
    Chruscinski, Dariusz
    Hiesmayr, Beatrix C.
    NPJ QUANTUM INFORMATION, 2020, 6 (01)
  • [38] Multipartite Entanglement Witnesses
    Sperling, J.
    Vogel, W.
    PHYSICAL REVIEW LETTERS, 2013, 111 (11)
  • [39] Random and Free Positive Maps with Applications to Entanglement Detection
    Collins, Benoit
    Hayden, Patrick
    Nechita, Ion
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2017, 2017 (03) : 869 - 894
  • [40] Positive maps, majorization, entropic inequalities and detection of entanglement
    Augusiak, R.
    Stasinska, J.
    NEW JOURNAL OF PHYSICS, 2009, 11