On the Probabilistic Nature of Quantum Mechanics and the Notion of Closed Systems

@article{Faupin2014OnTP,
  title={On the Probabilistic Nature of Quantum Mechanics and the Notion of Closed Systems},
  author={J'er'emy Faupin and J{\"u}rg Fr{\"o}hlich and Baptiste Schubnel},
  journal={Annales Henri Poincar{\'e}},
  year={2014},
  volume={17},
  pages={689-731}
}
The notion of “closed systems” in Quantum Mechanics is discussed. For this purpose, we study two models of a quantum mechanical system P spatially far separated from the “rest of the universe” Q. Under reasonable assumptions on the interaction between P and Q, we show that the system P behaves as a closed system if the initial state of P ∨ Q belongs to a large class of states, including ones exhibiting entanglement between P and Q. We use our results to illustrate the non-deterministic nature… 

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