Determinism without causality

Giacomo M. D'Ariano, Franco Manessi, Paolo Perinotti

Published 2013-01-31, updated 2013-05-16Version 2

Causality has been often confused with the notion of determinism. It is mandatory to separate the two notions in view of the debate about quantum foundations. 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.