How entangled can a multi-party system possibly be?

Liqun Qi, Guofeng Zhang, Guyan Ni

Research output: Journal article publicationJournal articleAcademic researchpeer-review

17 Citations (Scopus)


The geometric measure of entanglement of a pure quantum state is defined to be its distance to the space of pure product (separable) states. Given an n-partite system composed of subsystems of dimensions d1,…,dn, an upper bound for maximally allowable entanglement is derived in terms of geometric measure of entanglement. This upper bound is characterized exclusively by the dimensions d1,…,dn of composite subsystems. Numerous examples demonstrate that the upper bound appears to be reasonably tight.

Original languageEnglish
Pages (from-to)1465-1471
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number22
Publication statusPublished - 5 Jun 2018


  • Entanglement
  • Geometric measure of entanglement
  • Tensor

ASJC Scopus subject areas

  • General Physics and Astronomy


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