Appleby, D. M. ; Bengtsson, Ingemar ; Chaturvedi, S. (2008) Spectra of phase point operators in odd prime dimensions and the extended Clifford group Journal of Mathematical Physics, 49 . 012102_1-012102_20. ISSN 0022-2488
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Official URL: http://jmp.aip.org/resource/1/jmapaq/v49/i1/p01210...
Related URL: http://dx.doi.org/10.1063/1.2824479
Abstract
We analyze the role of the extended Clifford group in classifying the spectra of phase point operators within the framework laid out by [ Gibbons et al., Phys. Rev. A 70, 062101 (2004) ] 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 ESL(2,FN).
Item Type: | Article |
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Source: | Copyright of this article belongs to American Institute of Physics. |
Keywords: | Mathematical Operators; Quantum Theory; Vectors; Wigner Distribution |
ID Code: | 89821 |
Deposited On: | 02 May 2012 13:12 |
Last Modified: | 19 May 2016 04:15 |
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