https://doi.org/10.1140/epjd/e2014-40549-1
Regular Article
A different way to verify the violation of the WWŻB inequality
1 Department of Physics and Astronomy, University of Sheffield, S3 7RH, UK
2 Department of Physics, University of Aveiro, 3810-193 Aveiro, Portugal
3 Instituto de Telecomunicações, University of Aveiro, 3810-193 Aveiro, Portugal
4 Department of Electronics, Telecommunications and Informatics, University of Aveiro, 3810-193 Aveiro, Portugal
a
e-mail: luismppmartins@hotmail.com
Received: 2 September 2013
Received in final form: 2 December 2013
Published online: 12 August 2014
The solution to Bell theorem for N-qubits was widely studied in [M. Żukowski, Č. Brukner, Phys. Rev. Lett. 88, 210401 (2002)]. Here we present a different way to obtain the solution of that theorem for the dichotomic experiment. In order to obtain a solution for the Werner-Wolf-Żukowski-Brukner WWŻB inequality a new correlation function is proposed. This new correlation function expresses directly the constraints imposed by local theories. We use the general Greenberger-Horne-Zeilinger (GHZ) state, whereof, as it is well known, emerges a family of entangled states that do not violate the WWŻB inequality [M. Żukowski, Č. Brukner, W. Laskowski, M. Wieśniak, Phys. Rev. Lett. 88, 210402 (2002)], i.e. it can be described by a local realistic theory, to illustrate our results.
Key words: Quantum Information
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014
