Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Positive maps in mathematical physics

2015/19/B/ST1/03095

Keywords:

positive maps operator algebras quantum entanglement,

Descriptors:

  • ST1_12: Mathematical methods of physics
  • ST1_9: Operator algebras and functional analysis

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Mikołaja Kopernika, Wydział Fizyki, Astronomii i Informatyki Stosowanej

woj. kujawsko-pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Dariusz Chruściński 

Number of co-investigators in the project: 4

Call: OPUS 10 - announced on 2015-09-15

Amount awarded: 277 200 PLN

Project start date (Y-m-d): 2016-07-20

Project end date (Y-m-d): 2020-02-19

Project duration:: 43 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (13)
  1. Application of Shemesh theorem to analysis of spectral properties of quantum channels
    Authors:
    M. Białończyk, A. Jamiołkowski, K. Życzkowski
    Academic press:
    J. Math. Phys. (rok: 2018, tom: 59, strony: 102204), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1063/1.5027616 - link to the publication
  2. Enhanced realignment criterion vs linear entanglement witnesses
    Authors:
    G. Sarbicki, G, Scala, D. Chruściński
    Academic press:
    J. Phys. A: Math. Theor. (rok: 2020, tom: 53, strony: 455302), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1751-8121/abba46 - link to the publication
  3. Entanglement witnesses from mutually unbiased bases
    Authors:
    D. Chruściński, G. Sarbicki, F. Wudarski
    Academic press:
    Phys. Rev. A (rok: 2018, tom: 97, strony: 32318), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevA.97.032318 - link to the publication
  4. Quantum channels irreducibly covariant with respect to the finite group generated by the Weyl operators
    Authors:
    K. Siudzińska, D. Chruściński
    Academic press:
    J. Math. Phys. (rok: 2018, tom: 59, strony: 33508), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1063/1.5013604 - link to the publication
  5. On bipartite operators defined by sets of completely different permutations
    Authors:
    M. Mozrzymas, D. Chruściński, G. Sarbicki
    Academic press:
    Journal Mathematical Physics (rok: 2019, tom: 60, strony: 91702), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1063/1.5019225 - link to the publication
  6. Stratified manifold of quantum states, actions of the complex special linear group
    Authors:
    D. Chruściński, F.M. Ciaglia, A. Ibort, G. Marmo, F. Ventriglia
    Academic press:
    Annals of Physics (rok: 2019, tom: 400, strony: 221-245), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aop.2018.11.015 - link to the publication
  7. On some properties of differences of completely positive maps
    Authors:
    A. Jamiołkowski
    Academic press:
    Open Sys. Inf. Dyn. , Wydawca: World Scientific
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Bounds on the entanglement of two-qutrit systems from fixed marginals
    Authors:
    B. Baio, D. Chruściński, P. Horodecki, A.Mesina, G. Sarbicki
    Academic press:
    Phys. Rev. A (rok: 2019, tom: 99, strony: 62312), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevA.99.062312 - link to the publication
  9. Family of multipartite separability criteria based on a correlation tensor
    Authors:
    G. Sarbicki, G. Scala, D. Chruściński
    Academic press:
    Phys. Rev. A (rok: 2020, tom: 101, strony: 12341), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevA.101.012341 - link to the publication
  10. Generalized Chi-like maps
    Authors:
    D. Chruściński, M. Marciniak. A. Rutkowski
    Academic press:
    Acta Mathematica Vietnamica (rok: 2018, tom: 43, strony: 661–674), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40306-018-0272-1 - link to the publication
  11. Mirrored entanglement witnesses
    Authors:
    J.Bae, D. Chruściński, B. Hiesmayr
    Academic press:
    npj Quantum Information (rok: 2020, tom: 6, strony: 15), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1038/s41534-020-0242-z - link to the publication
  12. Symmetry witnesses
    Authors:
    P. Aniello, D. Chruściński
    Academic press:
    J. Phys. A: Theor. Math. (rok: 2017, tom: 50, strony: 285302), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1751-8121/aa7636 - link to the publication
  13. Optimal entanglement witnesses from limited local measurements
    Authors:
    A. Riccardi, D. Chruściński, C. Macchiavello
    Academic press:
    Phys. Rev. A (rok: 2020, tom: 101, strony: 62319), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    brak - link to the publication

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