Quantum mechanical probabilities and general probabilistic constraints for Einstein–Podolsky–Rosen–Bohm experiments
نویسنده
چکیده
Relativistic causality, namely, the impossibility of signaling at superluminal speeds, restricts the kinds of correlations which can occur between different parts of a composite physical system. Here we establish the basic restrictions which relativistic causality imposes on the joint probabilities involved in an experiment of the Einstein-PodolskyRosen-Bohm type. Quantum mechanics, on the other hand, places further restrictions beyond those required by general considerations like causality and consistency. We illustrate this fact by considering the conceptually important case in which three of the involved probabilities are set to zero. This case is relevant because it allows a formulation of Hardy’s nonlocality theorem. Finally, we derive a simple inequality which can be used to test quantum mechanics against general probabilistic theories. ∗Electronic mail: [email protected]
منابع مشابه
Probabilistic analysis of three-player symmetric quantum games played using the Einstein–Podolsky–Rosen–Bohm setting
Article history: Received 23 May 2008 Received in revised form 5 September 2008 Accepted 9 September 2008 Available online 20 September 2008 Communicated by C.R. Doering This Letter extends our probabilistic framework for two-player quantum games to the multiplayer case, while giving a unified perspective for both classical and quantum games. Considering joint probabilities in the Einstein–Podo...
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