Two and Three Qubits Geometry and Hopf Fibrations

Details Two and Three Qubits Geometry and Hopf Fibrations Two and Three Qubits Geometry and Hopf Fibrations

2003-10-08

arxiv.org/abs/quant-ph/0310053v1

Physics

Quantum Physics

14 pages, 3 figures. The main content of this paper was presented at the Dresde (Germany) "Topology in Condensed Matter Physic

Scientific paper

This paper reviews recent attempts to describe the two- and three-qubit
Hilbert space geometries with the help of Hopf fibrations. In both cases, it is
shown that the associated Hopf map is strongly sensitive to states entanglement
content. In the two-qubit case, a generalization of the one-qubit celebrated
Bloch sphere representation is described.

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