ua nt - p h / 02 06 12 7 v 2 2 0 Ju n 20 02 On the average fidelity criterion for the non - classicality of the continuous variable quantum teleportation
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چکیده
We show that the existing argument on the non-classicality of the continuous variable quantum teleportation (CVQT) experiment by the average fidelity criterion is incomplete therefore so far it is still unclear whether the CVQT experiment(Furusawa et al, Science,282, 706(1998)) is really non-classical. The main argument on why the continuous variable quantum teleportation experiment [1] is non-classical is that it can teleport the coherent states with an average fidelity larger than 1 2. As it is shown in Ref. [2], given an ensemble of coherent states {|β} which distribute uniformly in the whole complex plane for β, if one takes a measurement on each states and obtain an outcome |α, in principle the average fidelity |α|β| 2 never exceeds 1 2. Therefore, if certain scheme can teleport the coherent states which are uniformly distributed in the whole complex plane and the average fidelity between the outcome state and the original state is larger than 1 2 , it must be non-classical. Unfortunately, this conclusion is not applicable to the experimental results in Ref. [1]. In principle, in any experiment, no one is able to prepare an ensemble of coherent states which distribute uniformly in the whole complex plane, because doing so requires an infinite large energy. In the experiment [1], the ensemble of states used is a uniform distribution over a finite area around the original point. This violates the condition
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تاریخ انتشار 2002