Konkurs na stanowisko post-doca w projekcie NCN Weave-Unisono

Realizacja zadań badawczych w ramach projektu NCN Weave-Unisono (we współpracy z Instytutem Matematyki Uniwersytetu Karola w Pradze) pt. „Kwantowa geometryczna teoria reprezentacji i rozwłóknienia nieprzemienne”.

Brak aktualnych wydarzeń.Minione wydarzenia...

Seminaria w jednostkach

• Quantum circuit complexity for linearly polarised light
  Jean-Pierre Gazeau, Université Paris Cité
  2024-12-13 godz. 9:45 - 11:15
  I present a form of quantum circuit complexity that extends to open systems. To illustrate the methodology, I focus on a basic model where the projective Hilbert space of states is depicted by the set of orientations in the Euclidean plane. Specifically, I investigate the dynamics of mixed quantum states as they undergo interactions with a sequence of gates. This approach involves the analysis of sequences of real 2X2 density matrices. Such a mathematical model is physically exemplified by the Stokes density matrices, which delineate the linear polarisation of a quasi-monochromatic light beam, and the gates, which are viewed as quantum polarisers, whose states are also real 2X2 density matrices. The interaction between polariser-linearly polarised light is construed à la Von Neumann within the context of this quantum formalism. Each density matrix for the light evolves in a way analogous to a Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) process during the time interval between consecutive gates. Notably, when considering an upper limit for accuracy, it is shown that the optimal number of gates follows a power-law relationship. From a submitted article co-authored by E. Curado A. Maioli, D. Noguera (CBPF, Rio), S. Faci (UFF, Rio), T. Koide (UFRJ, Rio).
• Generalized Ridge Theorem
  mgr Krzysztof Bardadyn
  2024-12-13 godz. 13:15
• TBA
  dr Marta Nowakowska, Uniwersytet Śląski w Katowicach
  2025-01-15 godz. 11:30 - 13:00

Ostatnio wydane publikacje

1. M. Pankov, K. Petelczyc, M. Żynel
   Point-line geometries related to binary equidistant codes
   J. Combin. Theory Ser. A 210 (2025), 1-30.
   DOI: 10.1016/j.jcta.2024.105962
2. T. Goliński, A. B. Tumpach
   Geometry of Integrable Systems Related to the Restricted Grassmannian
   Symmetry Integrability Geom. Methods Appl. 20 (2024), 1-18.
   DOI: 10.3842/SIGMA.2024.104
3. T. Brzeziński, M. Hryniewicka
   Translation Hopf algebras and Hopf heaps
   Algebr. Representat. Theor. 27 (2024), 1805-1819.
   DOI: 10.1007/s10468-024-10283-9
4. M. Woronowicz
   O grupach addytywnych pierścieni Hamiltona
   Perspektywy rozwoju w naukach inżynieryjno-technicznych – trendy, innowacje i wyzwania (P. Pomajda, M. Świtalski Ed(s).), vol. 1, Wydawnictwo Naukowe TYGIEL sp. z o.o., Lublin, Polska, 2024, pp. 277-302.
5. T. Brzeziński
   Special Normalised Affine Matrices: An Example of a Lie Affgebra
   Geometric Methods in Physics XL, Workshop, Białowieża, Poland, 2023, (P. Kielanowski, D. Beltita, A. Dobrogowska, T. Goliński et al. Ed(s).), Trends in Mathematics , (publ. by) Birkhauser Verlag, 2024, pp. 115-125.
   DOI: 10.1007/978-3-031-62407-0_9