Hopf Fibration and Quantum Entanglement in Qubit Systems

Details Hopf Fibration and Quantum Entanglement in Qubit Systems Hopf Fibration and Quantum Entanglement in Qubit Systems

2009-04-30

arxiv.org/abs/0904.4925v1

Physics

Quantum Physics

6 pages

Scientific paper

Based 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.

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