In our everyday lives the behaviour of observed objects does not depend on whether they are identical or not. However, the microscopic world is governed by laws of quantum physics that open up new possibilities for the collective behaviour of identical quantum particles. Research exploring this phenomenon has led to inventing lasers, superconductors and explaining stability of matter around us. Current studies of identical quantum particles are leading to new exciting developments in quantum information and condensed matter physics.

In my work, I aim to provide computationally efficient tools for approximately constructing the so-called generalised Pauli principles. The insights of this work will be subsequently applied to develop next-generation numerical methods of computing the electronic structure of chemical molecules.

The second branch of my work aims to improve our understanding of anyonic quasi-particles that play key roles in fault-tolerant quantum computing. I am focusing on recently discovered simple models of anyons for particles constrained to move on complex networks. The main goal is to provide new robust architectures for quantum computers and investigate long-standing problems concerning the behaviour of anyonic particles in complex quantum materials.