Gdańsk Group for Mathematical Physics

Submitted by marm39 on Wed, 03/31/2021 - 16:21
Faculty of Mathematics, Physics, and Informatics
Size of the team
number of researchers number of supporting staff number of PhD students
PI name
Marcin Marciniak
Contact person and e-mail
Contact person
Marcin Marciniak
Contact person e-mail
Short description of research profile

The subject of our research is the application of methods of modern functional analysis, the theory of operator algebras and linear algebra to the description of physical phenomena. In particular, we study

  • the notion of quantum entanglement,
  • entanglement witnesses,
  • quantum correlations,
  • steering inequalities.

Our goal is also to describe the structure of positive mappings on matrix algebras. In particular we are focused on the problem of NPT bound entanglement.



Representative publications

Adam Rutkowski, Michal Banacki, Marcin Marciniak, Necessary and sufficient condition of separability for -symmetric diagonal states, Physical Review A 99(2), 022309, 2019,
Marcin Marciniak, Adam Rutkowski, Merging of positive maps: A construction of various classes of positive maps on matrix algebras, Linear Algebra and its Applications 529, 215-257, 2017,
Z Yin, AW Harrow, Michał Horodecki, Marcin Marciniak, Adam Rutkowski, Saturation of the Tsirelson bound for the Clauser-Horne-Shimony-Holt inequality with random and free observables, Physical Review A 95 (3), 032101, 2017,
Marcin Marciniak, Adam Rutkowski, Z Yin, Michał Horodecki, Ryszard Horodecki, Unbounded violation of quantum steering inequalities, Physical Review Letters 115, 170401, 2015,
Zhi Yin, Marcin Marciniak, Michał Horodecki, Operator space approach to steering inequality, Journal of Physics A: Mathematical and Theoretical 48, 135303, 2015,