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arXiv · 0905.2094

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

Joseph J. Hilling·Anthony Sudbery
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Abstract

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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Joseph J. Hilling, Anthony Sudbery. 2009-06-24. The geometric measure of multipartite entanglement and the singular values of a hypermatrix. https://doi.org/10.1063/1.3451264

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