International co-operation
Visits to foreign or national research or academic centres
- A visit on the invitation of Prof. Artur Ekert at the University of Cambridge, Cambridge, United Kingdom, 06–13.06.2005.
- A visit on the invitation of Prof. Artur Ekert at the University of Cambridge, Cambridge, United Kingdom, 29.05.2006–04.06.2006.
- A visit on the invitation of Prof. Artur Ekert at the National University of Singapore, Singapore, 10–29.09.2007
- A week-long visit on the invitation of Prof. Josef Gruska at the Masaryk University, Brno, 17–21.11.2008, the Czech Republic.
- Short visit on the invitation of Dr. Michael Mc Gettrick in Mathematics department, School of Mathematics, Statistics and Applied Mathematics; 29–30.04.2015, National University of Ireland, Galway, Ireland. Seminar: “Generalized open quantum walks on Apollonian networks”, 29.04.2015.
- A two week-long visit on the invitation of Dr. Michael Mc Gettrick in department of Mathematics, School of Mathematics, Statistics and Applied Mathematics; 15.05–29.05.2017, National University of Ireland, Galway, Ireland. Seminar: “Quantum Hidden Markov Models based on Transition Operation Matrices”, 18.05.2017.
- A week-long visit on the invitation of Dr. Nicholas Chancellor in Durham Quantum Light and Matter research section of Department of Physics University of Durham; 18-23.03.2019, Durham, United Kingdom. Seminar “Hyper-spectral image segmentation using adiabatic quantum computation”, 20.03.2019.
International cooperation
- In 2011 with Man-Duen Choi - Department of Mathematics, University of Toronto, Canada. Cooperation resulted in a paper Z. Puchała, P. Gawron, J.A. Miszczak, Ł. Skowronek, M.-D. Choi, K. Życzkowski, “Product numerical range in a space with tensor product structure”, Linear Algebra Appl., Vol. 434 (2011): 327-342.
- From 2011 with Charles Dunkl - Department of Mathematics, University of Virginia, USA and John Holbrook - Department of Mathematics and Statistics, University of Guelph, Canada. Cooperation resulted in four papers:
- C.F. Dunkl, P. Gawron, J.A. Holbrook, J.A. Miszczak, Z. Puchała, K. Życzkowski, “Numerical shadow and geometry of quantum states”, J. Phys. A: Math. Theor., Vol. 44 (2011): 335301;
- C.F. Dunkl, P. Gawron, J.A. Holbrook, Z. Puchała, K. Życzkowski, “Numerical shadows: measures and densities on the numerical range”, Linear Algebra Appl., Vol. 434 (2011): 2042-2080.
- Z. Puchała, J.A. Miszczak, P. Gawron, C.F. Dunkl, J.A. Holbrook, K. Życzkowski, “Restricted numerical shadow and geometry of quantum entanglement”, J. Phys. A: Math. Theor., Vol. 45 (2012): 415309. arXiv:1201.2524.
- Charles F. Dunkl, Piotr Gawron, Łukasz Pawela, Zbigniew Puchała, Karol Życzkowski , “Real numerical shadow and generalized B-splines”, Linear Algebra and its Applications. 479:12–51. (2015). arXiv:1409.4941 (under review).
- In 2014 with Benoît Collins - Departement de Mathematique et Statistique, Universite d’Ottawa, Canada and Alexander E. Litvak - WPI Advanced Institute for Materials Research Tohoku University, Mathematics Unit, Japan and CNRS, Institut Camille Jordan Universite Lyon 1, France. Cooperation resulted in publication of a paper: B. Collins, P. Gawron, A. E. Litvak, K. Życzkowski, “Numerical range for random matrices”, Journal of Mathematical Analysis and Applications, Vol. 418 (2014): 516.
- From 2005 with Daniel Burgarth - Department of Physics and Astronomy, Macquarie University, Sydney, Australia.