I am interested in better understanding the distinctive features of quantum information processing as compared to its classical analog and to harnessing the power offered by quantum mechanics. I am also interested in connections between quantum information processing and fundamental laws of quantum mechanics, as well as their geometrical manifestation.
My current research work focuses on the following topics:
Quantum state estimation.
Foundation of quantum physics.
Geometry of quantum states, with focus on symmetric informationally complete positive-operator-valued measures (SIC~POVMs) and mutually unbiased bases (MUBs).
Multipartite entanglement and its applications in quantum state estimation,
quantum computation, and condensed matter physics.