Violating Bell's inequality beyond Cirel'son's bound

Details Violating Bell's inequality beyond Cirel'son's bound Violating Bell's inequality beyond Cirel'son's bound

2001-08-17

arxiv.org/abs/quant-ph/0108084v2

Phys. Rev. Lett. 88 (2002) 060403

Physics

Quantum Physics

REVTeX4, 4 pages

Scientific paper

10.1103/PhysRevLett.88.060403

Cirel'son inequality states that the absolute value of the combination of quantum correlations appearing in the Clauser-Horne-Shimony-Holt (CHSH) inequality is bound by $2 \sqrt 2$. It is shown that the correlations of two qubits belonging to a three-qubit system can violate the CHSH inequality beyond $2 \sqrt 2$. Such a violation is not in conflict with Cirel'son's inequality because it is based on postselected systems. The maximum allowed violation of the CHSH inequality, 4, can be achieved using a Greenberger-Horne-Zeilinger state.

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