I am a professor of mathematical physics specializing (among others) in quantum information theory. I work at the Center for Theoretical Physics, Polish Academy of Sciences (Warsaw).
The main topics I’m interested in are:
- description of quantum entanglement in many body systems and quantum marginal problem
- classification of quantum statistics (anyons) on quantum graphs and quantum networks
- characterisation of isospectral/isoscattering quantum graphs using representation theory of finite groups
- universality criteria for quantum gates
- t-designs and ε-nets
- efficiency of quantum gates and random walks on compact groups
- membership problem for quantum gate-sets