Entanglement polygon inequality in qubit systems

Xiao Feng Qian, Miguel A. Alonso, J. H. Eberly

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

We prove a set of tight entanglement inequalities for arbitrary N-qubit pure states. By focusing on all bi-partite marginal entanglements between each single qubit and its remaining partners, we show that the inequalities provide an upper bound for each marginal entanglement, while the known monogamy relation establishes the lower bound. The restrictions and sharing properties associated with the inequalities are further analyzed with a geometric polytope approach, and examples of three-qubit GHZ-class and W-class entangled states are presented to illustrate the results.

Original languageEnglish
Article number063012
JournalNew Journal of Physics
Volume20
Issue number6
DOIs
StatePublished - Jun 2018

Keywords

  • entanglement restriction
  • entanglement sharing
  • multiparty entanglement

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