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It is a well-known fact that all the statistical predictions of quantummechanics on the state of any physical system represented by a two-dimensionalHilbert space can always be duplicated by a noncontextual hidden-variablesmodel. In this paper, I show that, in some cases, when we consider anadditional independent (unentangled) two-dimensional system, the quantumdescription of the resulting composite system cannot be reproduced usingnoncontextual hidden variables. In particular, a no-hidden-variables proof ispresented for two individual spin-1/2 particles preselected in an uncorrelatedstate AB and postselected in another uncorrelated state aB, B being the samestate for the second particle in both preselection and postselection.Comment: LaTeX, 8 page

No-hidden-variables proof for two spin- particles preselected and postselected in unentangled states