Complete set of unitary irreps of Discrete Heisenberg Group $HW_{2^s}$

E. Floratos; I. Tsohantjis

doi:10.1007/s10773-025-05888-9

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arXiv · 2210.04263

Complete set of unitary irreps of Discrete Heisenberg Group $HW_{2^s}$

E. Floratos·I. Tsohantjis

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Abstract

Following the method of induced group representations of Wigner-Mackay, the explicit construction of all the unitary irreducible representations of the discrete finite Heisenberg-Weyl group $HW_{2^s}$ over the discrete phase space lattice $Z_{2^s}$ $\otimes$ $Z_{2^s}$ is presented. We explicitly determine their characters and their fusion rules. We discuss possible physical applications for finite quantum mechanics and quantum computation.

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E. Floratos, I. Tsohantjis. 2022-10-09. Complete set of unitary irreps of Discrete Heisenberg Group $HW_{2^s}$. https://doi.org/10.1007/s10773-025-05888-9

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