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arXiv · 1302.6278

On the completeness of quantum mechanics and the interpretation of the state vector

GianCarlo Ghirardi·Raffaele Romano
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Abstract

Recently, it has been argued that quantum mechanics is complete, and that quantum states vectors are necessarily in one-to-one correspondence with the elements of reality, under the assumptions that quantum theory is correct and that measurement settings can be freely chosen. In this work, we argue that the adopted form of the free choice assumption is stronger than needed. We unveil hidden assumptions underlying these results, which limit their range of validity. We support our argument by a model for the bipartite two-level system, reproducing quantum mechanics, in which the free will assumption is respected, and different quantum states can be connected to the same state of reality.

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GianCarlo Ghirardi, Raffaele Romano. 2013-02-25. On the completeness of quantum mechanics and the interpretation of the state vector. https://doi.org/10.1088/1742-6596/442/1/012002

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