The geometric measure of entanglement for a symmetric pure state with non-negative amplitudes

In this paper for a class of symmetric multiparty pure states, we consider a conjecture related to the geometric measure of entanglement: “for a symmetric pure state, the closest product state in terms of the fidelity can be chosen as a symmetric product state.” We show that this conjecture is true...

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Veröffentlicht in:Journal of mathematical physics 2009-12, Vol.50 (12), p.122104-122104-6
Hauptverfasser: Hayashi, Masahito, Markham, Damian, Murao, Mio, Owari, Masaki, Virmani, Shashank
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Sprache:eng
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Zusammenfassung:In this paper for a class of symmetric multiparty pure states, we consider a conjecture related to the geometric measure of entanglement: “for a symmetric pure state, the closest product state in terms of the fidelity can be chosen as a symmetric product state.” We show that this conjecture is true for symmetric pure states whose amplitudes are all non-negative in a computational basis. The more general conjecture is still open.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.3271041