We establish relations between conifold, Segre variety, Hopf fibration, and separablesets of pure two-qubit states. Moreover, we investigate the geometry and topology ofseparable sets of pure multi-qubit states based on the complex multi-projective Segrevariety and higher order Hopf fibration. We show that the Segre variety and Hopffibration give a unified geometrical and topological picture of multi-qubit states. Wealso construct entanglement monotones for multi-qubit states.
['Hoshang Heydari']
The geometry and topology of entanglement: conifold, segre variety, and hopf fibration