Geometrical Underpinning of Finite Dimensional Hilbert space
Quantum Physics
2011-12-21 v4
Abstract
Finite geometry is employed to underpin operators in finite, d, dimensional Hilbert space. The central role of mutual unbiased bases (MUB) states projectors is exhibited. Interrelation among operators in Hilbert space, revealed through their (finite) dual affine plane geometry (DAPG) underpinning is studied. Transcription to (finite) affine plane geometry (APG) is given and utilized for their interpretation.
Keywords
Cite
@article{arxiv.1111.6446,
title = {Geometrical Underpinning of Finite Dimensional Hilbert space},
author = {M. Revzen},
journal= {arXiv preprint arXiv:1111.6446},
year = {2011}
}
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