The geometric measure of multipartite entanglement and the singular values of a hypermatrix
classification
🪐 quant-ph
keywords
equationentanglementgeometricmeasuremultipartitestatebipartitecharacteristic
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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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