Name
Abstract | ||
|---|---|---|
This paper reviews recent attempts to describe the two-and three-qubit Hilbert space geometries. In the first part, this is done with the help of Hopf fibrations of hyperspheres. It is shown that the associated Hopf map is strongly sensitive to states’ entanglement content. In the two-qubit case, a generalisation of the celebrated one-qubit Bloch sphere representation is described. In the second part, we present Hilbert space discrete versions, which are comparable to polyhedral approximations of spheres in standard geometry. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1017/S0960129507006329 | Mathematical Structures in Computer Science |
Keywords | Field | DocType |
hopf fibrations,hilbert space,discrete version,bloch sphere representation,hopf map,hilbert space geometry,standard geometry,entanglement content,two-and three-qubit hilbert space,recent attempt,celebrated one-qubit | Hilbert space,Projective Hilbert space,Hopf fibration,Hilbert scheme,Hilbert manifold,Bloch sphere,Geometry,Rigged Hilbert space,Mathematics,Reproducing kernel Hilbert space | Journal |
Volume | Issue | ISSN |
17 | 6 | 0960-1295 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Remy Mosseri | 1 | 0 | 0.34 |
| Pedro Ribeiro | 2 | 18 | 4.74 |