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

[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.

[发布机构] Department of Physics, University of Trieste, Abdus Salam ICTP, Trieste, Italy^1;Department of Mathematics, Iowa State University, Ames, IA, United States^2

[效力级别] 力学 [学科分类] 力学，机械学

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