ICTQT researchers publish in Reports on Progress in Physics, advancing mathematical foundations of quantum information
Researchers from the International Centre for Theory of Quantum Technologies (ICTQT), University of Gdańsk – including Michał Horodecki and Michał Studziński, together with Marek Mozrzymas from University of Wrocław – have published a new paper in Reports on Progress in Physics, one of the most prestigious journals in physics. What is more, the work will also be featured in Physics World, extending its reach to a broader audience.
Their article, “Iterative construction of group-adapted irreducible matrix units for the walled Brauer algebra” (Rep. Prog. Phys. 89 027601 2026, https://iopscience.iop.org/article/10.1088/1361-6633/ae3eb2), introduces a powerful new mathematical framework for analyzing complex quantum systems.
The work focuses on the development of an algorithmic method for constructing symmetry-adapted structures within operator algebras that naturally arise in quantum theory. While mathematically sophisticated, these tools are directly relevant to quantum information science, particularly in the study of quantum entanglement and multipartite quantum systems.
A central result of the paper is a systematic procedure for building so-called group-adapted irreducible matrix units, enabling a decomposition of complex quantum structures into symmetry-consistent components. This type of decomposition is essential for understanding how information is distributed and processed across many-body quantum systems.
Such advances are not only of theoretical importance. They provide new tools for tackling key challenges in quantum computing and quantum communication, where controlling and exploiting entanglement is fundamental. By making these constructions explicit and algorithmic, the authors pave the way for practical applications in both analytical and computational settings.
The publication highlights the growing impact of ICTQT in advancing the mathematical and conceptual foundations of quantum technologies.
