English

Complete proof of Gisin's theorem for three qubits

Quantum Physics 2013-05-29 v2

Abstract

Gisin's theorem assures that for any pure bipartite entangled state, there is violation of Bell-CHSH inequality revealing its contradiction with local realistic model. Whether, similar result holds for three-qubit pure entangled states, remained unresolved. We show analytically that all three-qubit pure entangled states violate a Bell-type inequality, derived on the basis of local realism, by exploiting the Hardy's non-locality argument.

Keywords

Cite

@article{arxiv.0901.1669,
  title  = {Complete proof of Gisin's theorem for three qubits},
  author = {Sujit K. Choudhary and Sibasish Ghosh and Guruprasad Kar and Ramij Rahaman},
  journal= {arXiv preprint arXiv:0901.1669},
  year   = {2013}
}

Comments

Revised version with minor corrections in typos, written in double column format, 4 pages, Latex

R2 v1 2026-06-21T11:59:59.148Z