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Quantum Simulation Entanglement Theory Quantum Correlations

Geometrical Underpinning of Finite Dimensional Hilbert space

arXiv
Authors: M. Revzen

Year

2011

Paper ID

29511

Status

Preprint

Abstract Read

~2 min

Abstract Words

57

Citations

N/A

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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2011 reference point for readers tracking recent quantum research.
  • Finite geometry is employed to underpin operators in finite, d, dimensional Hilbert space.

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