Finite Geometry and the Radon Transform

Details Finite Geometry and the Radon Transform Finite Geometry and the Radon Transform

2011-11-20

arxiv.org/abs/1111.4628v1

Physics

Quantum Physics

17 pages

Scientific paper

Finite Geometry is used to underpin operators acting in finite, d, dimensional Hilbert space. Quasi distribution and Radon transform underpinned with finite dual affine plane geometry (DAPG) are defined in analogy with the continuous ($d \rightarrow \infty$) Hilbert space case. An essntial role in these definitions play the projectors of states of mutual unbiased bases (MUB) and their Wigner function-like mapping onto the generalized phase space that lines and points of DAPG constitutes.

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