The geometric measure of multipartite entanglement and the singular values of a hypermatrix

Physics – Quantum Physics

Scientific paper

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18 pages. Significant correction made; our results now agree with those of Tamaryan et al

Scientific paper

10.1063/1.3451264

It is shown that the geometric measure of entanglement of a pure multipartite
state satisfies a polynomial equation, generalising the characteristic equation
of the matrix of coefficients of a bipartite state. The equation is solved for
a class of three-qubit states.

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