Two and Three Qubits Geometry and Hopf Fibrations
Quantum Physics
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0310053,
title = {Two and Three Qubits Geometry and Hopf Fibrations},
author = {Remy Mosseri},
journal= {arXiv preprint arXiv:quant-ph/0310053},
year = {2007}
}
Comments
14 pages, 3 figures. The main content of this paper was presented at the Dresde (Germany) "Topology in Condensed Matter Physics" colloquium in june 2002. To appear in a book