论文标题
完整的离散Heisenberg Group $ HW_ {2^s} $的单一统一核
Complete set of unitary irreps of Discrete Heisenberg Group $HW_{2^s}$
论文作者
论文摘要
遵循Wigner-mackay的诱导小组表示的方法，在离散相位空间lattice $ z_ {2^s} $ z_ {2^s} $ $ $ $ $ $ $ $ $ $ $ z_} 2^s} $ pressed的离散阶段空间lattice $ z_ {2^s} $ z_ {2^s} $上的所有单位不可约合表示的明确构建。我们明确确定他们的角色和融合规则。我们讨论有限量子力学和量子计算的物理应用。
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.
