Quantum Entanglement and Projective Ring Geometry

@article{Planat2006QuantumEA,
title={Quantum Entanglement and Projective Ring Geometry},
author={M. Planat and M. Saniga and M. Kibler},
journal={Symmetry Integrability and Geometry-methods and Applications},
year={2006},
volume={2},
pages={066}
}
• Published 2006
• Mathematics, Physics
• Symmetry Integrability and Geometry-methods and Applications
The paper explores the basic geometrical properties of the observables charac- terizing two-qubit systems by employing a novel projective ring geometric approach. After introducing the basic facts about quantum complementarity and maximal quantum en- tanglement in such systems, we demonstrate that the 15 ◊ 15 multiplication table of the associated four-dimensional matrices exhibits a so-far-unnoticed geometrical structure that can be regarded as three pencils of lines in the projective plane of… Expand
26 Citations

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