Jiri Tolar (Czech Technical University in Prague, Czech Republic)

Symmetries of the finite Heisenberg group for composite systems

Abstract:
   Symmetries of the finite Heisenberg group represent an important tool for the study of deeper structure of finite-dimensional quantum mechanics. As is well known, these symmetries are properly expressed in terms of certain normalizer. This contribution extends previous studies to composite quantum systems consisting of two subsystems with arbitrary dimensions as well as for the general case of multipartite systems. Detailed descriptions are given of the normalizer of the Abelian subgroup generated by tensor products of generalized Pauli matrices. The symmetry group is then given by the quotient group of the normalizer. The contribution is based on common work with M. Korbelar.