Department of Mathematics
- Oussama Amir , Undergraduate senior project, Fall 2020, Title: Algebraic aspects of symmetric informationally complete measurements
- Daniel Sheinbaum, Ph.D. February 2020, Title: Applications and Connections between Twisted Equivariant K-theory, Quantum Mechanics and Condensed Matter, co-supervised by Alejandro Adem
My main motivation is to expand the scope of the long-standing interaction between topology and physics to the relatively young field of quantum information theory. My work in algebraic topology has intersections with group cohomology, topological K-theory and simplicial homotopy theory. These structures find applications in quantum foundations such as contextuality of quantum mechanics which in turn give fundamental insight for basic reasons behind quantum advantage in information processing tasks. In this direction I am also interested in classical simulation algorithms for quantum computation.