Spectra of phase point operators in odd prime dimensions and the extended Clifford group

Details Spectra of phase point operators in odd prime dimensions and the extended Clifford group Spectra of phase point operators in odd prime dimensions and the extended Clifford group

2007-10-16

arxiv.org/abs/0710.3013v1

Physics

Quantum Physics

Latex, 19pages

Scientific paper

10.1063/1.2824479

We analyse the role of the Extended Clifford group in classifying the spectra of phase point operators within the framework laid out by Gibbons et al for setting up Wigner distributions on discrete phase spaces based on finite fields. To do so we regard the set of all the discrete phase spaces as a symplectic vector space over the finite field. Auxiliary results include a derivation of the conjugacy classes of ${\rm ESL}(2, \mathbb{F}_N)$.

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