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Quantum theory: kinematics, linearity and no-signaling condition

Mario Ziman·Peter Stelmachovic
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Abstract

We show that the linearity of an evolution of Quantum Mechanics follows from the definition of kinematics. The same result is obtained for an arbitrary theory with the state space that includes mixtures of different preparations. Next, we formulate the non-signaling theorem and show that the theorem poses no additional restriction on Quantum Mechanics provided the kinematics is given. We also discuss validity of the postulate for the case of more general theories.

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Mario Ziman, Peter Stelmachovic. 2002-11-22. Quantum theory: kinematics, linearity and no-signaling condition. https://arxiv.org/abs/quant-ph/0211149

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