Publications (link to arXiv), (Link to Google Scholar)
For my PhD project I worked on Quantum Groups, a topic which I liked very much for its pure and beautiful mathematics, and its many interconnections to various fields of theoretical physics of the time (the 90’s). When I left quantum groups for no reason, I had a sense of nostalgia for many years, and actually I never had that kind of internal satisfaction with any other field. After graduation I continued to work in this area for a number of years with sporadic interests in other fields of mathematical physics, mainly integrable models, and non-equilibrium many body systems in one dimensions. I also worked a little bit with one of my PhD students, on small world networks but quickly left it, since it was far from my interests. It is now a few years that I have settled down in quantum computation and quantum information.
I am interested in various aspects in quantum information theory and its relation with other fields of physics, especially statistical physics, exactly solved models, mathematical physics and field theory. Notably I am interested in
1- the abstract properties of quantum channels as completely positive maps,
2- matrix product states,
3- the Kitaev model and its various ramifications,
4- topological quantum computation, and
5- quantum state transfer, and entanglement generation.
- For list of publications click here.