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

Joseph J. Hilling, Anthony Sudbery

Published 2009-05-13, updated 2009-06-24Version 3

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.