Complete set of unitary irreps of Discrete Heisenberg Group $HW_{2^s}$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866916570045874176 |
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| author | Floratos, E. Tsohantjis, I. |
| author_facet | Floratos, E. Tsohantjis, I. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_04263 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Complete set of unitary irreps of Discrete Heisenberg Group $HW_{2^s}$ Floratos, E. Tsohantjis, I. Quantum Physics High Energy Physics - Theory Mathematical Physics 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. |
| title | Complete set of unitary irreps of Discrete Heisenberg Group $HW_{2^s}$ |
| topic | Quantum Physics High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2210.04263 |