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

6th International Workshop DICE2012 Spacetime – Matter – Quantum Mechanics: From the Planck Scale to Emergent Phenomena

物理学;力学

Ghirardi, Gian Carlo^1 ; Romano, Raffaele^2

Department of Physics, University of Trieste, Abdus Salam ICTP, Trieste, Italy^1

Department of Mathematics, Iowa State University, Ames, IA, United States^2

关键词: Free Will;    Quantum state;    State vector;    Two-level system;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/442/1/012002/pdf
DOI  :  10.1088/1742-6596/442/1/012002

学科分类：力学，机械学

来源: IOP

【 摘 要 】

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. In our perspective, there are 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.