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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Abstract

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
Volume50
Issue number12
Early online date28 Dec 2009
DOIs
Publication statusPublished - 2009

Keywords

  • hilbert spaces
  • measurement theory
  • quantum entanglement

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