Geometrical Underpinning of Finite Dimensional Hilbert space

Details Geometrical Underpinning of Finite Dimensional Hilbert space Geometrical Underpinning of Finite Dimensional Hilbert space

2011-11-28

arxiv.org/abs/1111.6446v4

Physics

Quantum Physics

10

Scientific paper

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.

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