Quantum Computation and Information Seminar 

07/12/2007, 15:00 — 16:00 — Room P4.35, Mathematics Building
Rémy Mosseri, U Pierre et Marie Curie

Geometry of Few Qubits Entangled States, Bloch Spheres and Hopf Fibrations

I will review some attempts to describe the two- and three-qubit Hilbert space geometries with the help of Hopf fibrations of the $S^7$ and $S^{15}$ high dimensional spheres. 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.