Giacomo M. D'Ariano, Franco Manessi, Paolo Perinotti
A precise definition of causality in physics has been missing so far, only supplemented by ad hoc assumptions based on empirical evidence. Causality has then been often confused with the notion of determinism. In view of the debate about quantum foundations, it is mandatory to separate the two notions with clear-cut definitions. Quantum theory provides an example of causal not-deterministic theory. Here we introduce a toy operational theory that is deterministic and non-causal, thus proving that the two notions of causality and determinism are totally independent.
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http://arxiv.org/abs/1301.7578
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