Classicality without local discriminability: Decoupling entanglement and complementarity

@article{DAriano2020ClassicalityWL,
  title={Classicality without local discriminability: Decoupling entanglement and complementarity},
  author={Giacomo Mauro D’Ariano and Marco Erba and Paolo Perinotti},
  journal={Physical Review A},
  year={2020}
}
An operational probabilistic theory where all systems are classical, and all pure states of composite systems are entangled, is constructed. The theory is endowed with a rule for composing an arbitrary number of systems, and with a nontrivial set of transformations. Hence, we demonstrate that the presence of entanglement is independent of the existence of incompatible measurements. We then study a variety of phenomena occurring in the theory---some of them contradicting both Classical and… 

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