Uncertainty, non-locality and Bell's inequality

Details Uncertainty, non-locality and Bell's inequality Uncertainty, non-locality and Bell's inequality

1998-02-11

arxiv.org/abs/quant-ph/9802026v1

Physics

Quantum Physics

12 pages, Latex, no figures, Talk presented in International Symposium on ``Uncertain Reality''held at New Delhi, 5-9th Jan. 1

Scientific paper

We derive a Bell-like inequality involving all correlations in local observables with uncertainty free states and show that the inequality is violated in quantum mechanics for EPR and GHZ states. If the uncertainties are allowed in local observables then the statistical predictions of hidden variable theory is well respected in quantum world. We argue that the uncertainties play a key role in understanding the non-locality issues in quantum world. Thus we can not rule out the possibility that a local, realistic hidden variable theory with statistical uncertainties in the observables might reproduce all the results of quantum theory.

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