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

Hayashi, Masahito and Markham, Damian and Murao, Mio and Owari, Masaki and Virmani, Shashank (2009) The geometric measure of entanglement for a symmetric pure state with non-negative amplitudes. Journal of Mathematical Physics, 50 (12). 122104. ISSN 0022-2488 (https://doi.org/10.1063/1.3271041)

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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.

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• Item metadata

  Item type:	Article
  ID code:	16838
  Dates:	Date Event 2009 Published 28 December 2009 Published Online
  Subjects:	Science > Physics > Optics. Light
  Department:	Faculty of Science > Physics
  Depositing user:	Mr Timothy Briggs
  Date deposited:	18 Mar 2010 10:19
  Last modified:	11 Nov 2024 09:23
  URI:	https://strathprints.strath.ac.uk/id/eprint/16838