We have previously shown that the use of the fair sampling assumption in EPR experiments could be questioned on the basis of experimental data. We continue our analysis of the data from the optical EPR experimental performed by Weihs et al. in Innsbruck 1997-1998, and we discuss whether a non-rotationally invariant source can account for the experimental results.

We present some recent results of a new statistical analysis of the optical EPR experiment performed by Weihs et al in Innsbruck 1997-1998. Under the commonly used assumption of fair sampling, we show that the coincidence counts exhibit a small and anomalous non-signalling component, which seems impossible to explain by using the conventional quantum mechanics, and we discuss some possible interpretations of this phenomenon.

3. Foundations of probability and Physics - 4

Adenier, Guillaume

et al.

Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.

Khrennikov, AndreiVäxjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.

We analyse optical EPR experimental data performed by Weihs et al in Innsbruck 1997–1998. We show that for some linear combinations of the raw coincidence rates, the experimental results display some anomalous behaviour that a more general source state (like non-maximally entangled state) cannot straightforwardly account for. We attempt to explain these anomalies by taking account of the relative efficiencies of the four channels. For this purpose, we use the fair sampling assumption, and assume explicitly that the detection efficiencies for the pairs of entangled photons can be written as a product of the two corresponding detection efficiencies for the single photons. We show that this explicit use of fair sampling cannot be maintained to be a reasonable assumption as it leads to an apparent violation of the no-signalling principle.

Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. Matematik.

Adenier, GuillaumeVäxjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. Matematik.Lahti, PekkaMan'ko, VladimirNeuhuizen, Theo

Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. Matematik.

Adenier, Gulliaume

Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. Matematik.

Anomalies in EPR-Bell experiments.2006In: Quantum theory: reconsideration of foundations---3, American Institute of Physics , 2006, p. 283-Conference paper (Refereed)