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Topology in Condensed Matter pp 187–203Cite as

Two-Qubit and Three-Qubit Geometry and Hopf Fibrations

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 150))

Summary

This chapter reviews recent attempts to describe the two-qubit 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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Author information

Authors and Affiliations

  1. Groupe de Physique des Solides, CNRS UMR 7588, Université Pierre et Marie Curie, Paris 6 et Denis Diderot Paris 7, 2 place Jussieu, 75251, Paris cedex 05, France

    R. Mosseri

Authors
  1. R. Mosseri
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Editor information

Editors and Affiliations

  1. Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117259, Moscow, Russia

    Michail Ilych Monastyrsky

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© 2006 Springer-Verlag Berlin Heidelberg

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Mosseri, R. (2006). Two-Qubit and Three-Qubit Geometry and Hopf Fibrations. In: Monastyrsky, M.I. (eds) Topology in Condensed Matter. Springer Series in Solid-State Sciences, vol 150. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31264-1_9

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