Bell inequalities and the separability criterion

Barbara M. Terhal*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

611 Citations (Scopus)


We analyze and compare the mathematical formulations of the criterion for separability for bipartite density matrices and the Bell inequalities. We show that a violation of a Bell inequality can formally be expressed as a witness for entanglement. We also show how the criterion for separability and the existence of a description of the state by a local hidden variable theory, become equivalent when we restrict the set of local hidden variable theories to the domain of quantum mechanics. This analysis sheds light on the essential difference between the two criteria. (C) 2000 Elsevier Science B.V.

Original languageEnglish
Pages (from-to)319-326
Number of pages8
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number5-6
Publication statusPublished - 2000
Externally publishedYes


  • Bell inequalities
  • Quantum entanglement
  • Quantum information theory


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