On von Neumann and Bell theorems applied to quantumness tests

摘要

The issues, raised in arXiv:0809.011, concerning the relevance of the vonNeumann theorem for the single-system's quantumness test proposed inarXiv:0704.1962 and performed for the case of single photon polarization inarXiv:0804.1646, and the usefulness of Bell's inequality for testing the ideaof macroscopic quantum systems are discussed in some details. Finally, theproper quantum mechanical description of the experiment with polarized photonbeams is presented.