On maximal entanglement between two pairs in four-qubit pure states
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We show that the state with the highest known average two-particle von Neumann entanglement entropy proposed by Sudbery and one of the authors gives a local maximum of this entropy. We also show that this is not the case for an alternative highly entangled state proposed by Brown et al.
Additional paragraph added referring to the proposed state in relation to bipartite entanglement and the concurrence. References added
Additional paragraph added referring to the proposed state in relation to bipartite entanglement and the concurrence. References added