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

Masahito Hayashi, Damian Markham, Mio Murao, Masaki Owari, Shashank Virmani

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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.
Original languageEnglish
Article number122104
Number of pages6
JournalJournal of Mathematical Physics
Issue number12
Early online date28 Dec 2009
Publication statusPublished - 2009


  • hilbert spaces
  • measurement theory
  • quantum entanglement

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