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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.
Differential Analysis on Complex Manifolds
R. O. Wells · 1980
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Discriminants, resultants and higher-dimensional determinants
I. M. Gelfand, M. M. Kapranov, and A. V. Zelevinsky · 1994
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Multipartite generalisation of the Schmidt decomposition
H. A. Carteret, A. Higuchi, and A. Sudbery · 2000
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Distributed entanglement
V. Coffman, J. Kundu, and W. K. Wootters · 2000
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An entanglement monotone derived from Grover’s algorithm
O. Biham, M. A. Nielsen, and T. J. Osborne · 2002
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Multipartite entanglement and hyper-determinants
A. Miyake and M. Wadati · 2002
Cited alongside, same era.
Classification of multipartite entangled states by multidimensional determinants
A. Miyake · 2003
Cited alongside, same era.
Geometric measure of entanglement and applications to bipartite and multipartite quantum states
T.-C. Wei and P. M. Goldbart · 2003
Cited alongside, same era.
Connections between relative entropy of entanglement and geometric measure of entanglement
T.-C. Wei, M. Ericsson, P. M. Goldbart, and W. J. Munro · 2004
Cited alongside, same era.
Characterization of pure quantum states of multiple qubits using the groverian entanglement measure
O. Biham, Y. Shimoni and D. Shapira · 2004
Cited alongside, same era.
An introduction to entanglement measures
M. B. Plenio and S. Virmani · 2007
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E. Jung, M.-R. Hwang, D. Park, L. Tamaryan, and S. Tamaryan · 2008
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Universal geometric entanglement close to quantum phase transitions
R. Orus, · 2008
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Geometric measure of entanglement and shared quantum states
L. Tamaryan, D. Park, J.-W. Son, and S. Tamaryan · 2008
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