Towards a formulation of quantum theory as a causally neutral theory of Bayesian inference

@article{Leifer2013TowardsAF,
  title={Towards a formulation of quantum theory as a causally neutral theory of Bayesian inference},
  author={Matthew Leifer and Robert W. Spekkens},
  journal={Physical Review A},
  year={2013},
  volume={88},
  pages={052130}
}
Quantum theory can be viewed as a generalization of classical probability theory, but the analogy as it has been developed so far is not complete. Whereas the manner in which inferences are made in classical probability theory is independent of the causal relation that holds between the conditioned variable and the conditioning variable, in the conventional quantum formalism, there is a significant difference between how one treats experiments involving two systems at a single time and those… 
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