Finite Geometry and the Radon Transform
Abstract
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 functionlike mapping onto the generalized phase space that lines and points of DAPG constitutes.
 Publication:

arXiv eprints
 Pub Date:
 November 2011
 arXiv:
 arXiv:1111.4628
 Bibcode:
 2011arXiv1111.4628R
 Keywords:

 Quantum Physics
 EPrint:
 17 pages