Hopf Fibration and Quantum Entanglement in Qubit Systems

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dc.creatorPinilla, P. A.
dc.creatorLuthra, J. R.
dc.date2009-04-30
dc.date.accessioned2026-07-07T13:10:38Z
dc.date.available2026-07-07T13:10:38Z
dc.descriptionBased on the geometry of entangled three and two qubit states, we present the connection between the entanglement measure of the three-qubit state defined using the last Hopf fibration and the entanglement measures known as two- and three-tangle. Moreover, the generalization of the geometric representation of four qubit state and a potential entanglement measure is studied using sedenions for the simplification of the Hilbert space S^31 of the four qubit system. An entanglement measure is proposed and the degree of entanglement is calculated for specific states. The difficulties of a possible generalization are discussed.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0904.4925
dc.identifierhttp://arxiv.org/abs/0904.4925
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229061
dc.subjectQuantum Physics
dc.titleHopf Fibration and Quantum Entanglement in Qubit Systems
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