Construction of Metaplectic Representations of $S{L}_2({\mathbb{Z}}_{2^n})$ and Twisted Magnetic Translations

Emmanuel Floratos, Kimon Manolas, Ioannis Tsohantjis

Unitary metaplectic representations of the group $S{L}_2({\mathbb{Z}}_{2^n})$ are necessary to describe the evolution of $2^n$-dimensional quantum systems, such as systems involving $n…