Geometry of entangled states, Bloch spheres and Hopf fibrations

@article{Mosseri2001GeometryOE,
  title={Geometry of entangled states, Bloch spheres and Hopf fibrations},
  author={R. Mosseri and R. Dandoloff},
  journal={Journal of Physics A},
  year={2001},
  volume={34},
  pages={10243-10252}
}
We discuss a generalization of the standard Bloch sphere representation for a single qubit to two qubits, in the framework of Hopf fibrations of highdimensional spheres by lower dimensional spheres. The single-qubit Hilbert space is the three-dimensional sphere S 3 .T heS 2 base space of a suitably oriented S 3 Hopf fibration is nothing but the Bloch sphere, while the circular fibres represent the overall qubit phase degree of freedom. For the two-qubits case, the Hilbert space is a seven… Expand
Bloch sphere model for two-qubit pure states
  • C. Wie
  • Mathematics, Physics
  • 2014
Entanglement and Hilbert space geometry for systems with a few qubits
Two-Qubit Bloch Sphere
Geometry of quantum systems: Density states and entanglement
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The Physics of Quantum Information