Hilbert Space Quantum Mechanics Is Noncontextual
Quantum Physics
2013-02-21 v2
Abstract
It is shown that quantum mechanics is noncontextual if quantum properties are represented by subspaces of the quantum Hilbert space (as proposed by von Neumann) rather than by hidden variables. In particular, a measurement using an appropriately constructed apparatus can be shown to reveal the value of an observable A possessed by the measured system before the measurement took place, whatever other compatible ([B,A]=0) observable B may be measured at the same time.
Cite
@article{arxiv.1201.1510,
title = {Hilbert Space Quantum Mechanics Is Noncontextual},
author = {Robert B. Griffiths},
journal= {arXiv preprint arXiv:1201.1510},
year = {2013}
}
Comments
Minor revisions to clarify some points in previus versions