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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

Two and Three Qubits Geometry and Hopf Fibrations

Authors	Remy Mosseri
Categories	quant-ph
ArXiv ID	quant-ph/0310053
URL	https://arxiv.org/abs/quant-ph/0310053

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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    "abstract": "This paper reviews recent attempts to describe the two- and three-qubit\nHilbert space geometries with the help of Hopf fibrations. In both cases, it is\nshown that the associated Hopf map is strongly sensitive to states entanglement\ncontent. In the two-qubit case, a generalization of the one-qubit celebrated\nBloch sphere representation is described.",
    "arxiv_id": "quant-ph/0310053",
    "authors": [
      "Remy Mosseri"
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    "title": "Two and Three Qubits Geometry and Hopf Fibrations",
    "url": "https://arxiv.org/abs/quant-ph/0310053"
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