Entanglement types for two-qubit states with real amplitudes

@article{Perdomo2021EntanglementTF,
  title={Entanglement types for two-qubit states with real amplitudes},
  author={Oscar Perdomo and Vicente Leyton-Ortega and Alejandro Perdomo-Ortiz},
  journal={Quantum Inf. Process.},
  year={2021},
  volume={20},
  pages={89}
}
We study the set of two-qubit pure states with real amplitudes and their geometrical representation in the three-dimensional sphere. In this representation, we show that the maximally entangled states --those locally equivalent to the Bell States --form two disjoint circles perpendicular to each other. We also show that taking the natural Riemannian metric on the sphere, the set of states connected by local gates are equidistant to this pair of circles. Moreover, the unentangled, or so-called… 
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