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Two and Three Qubits Geometry and Hopf Fibrations

2003/10/08 by Remy Mosseri, Mosseri, Remy
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0310053

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

arxiv created 2003/10/08 · arxiv updated 2009/12/01

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.

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