Unconditional no-hidden-variables theorem

Details Unconditional no-hidden-variables theorem Unconditional no-hidden-variables theorem

2008-01-13

arxiv.org/abs/0801.1945v5

Physics

Quantum Physics

Foundations of Physics, (2008), (accepted for publication)

Scientific paper

Recently, [{arXiv:0810.3134}] is accepted and published. We present ultimate version of no-hidden-variables theorem. We derive a proposition concerning the quantum theory under the existence of the Bloch sphere in a single spin-1/2 system. The existence of a single classical probability space for measurement outcome within the formalism of von Neumann's projective measurement does not coexist with the proposition concerning the quantum theory. We have to give up the existence of such a classical probability space for measurement outcome in the two-dimensional Hilbert space formalism of the quantum theory. The quantum theory does not accept a hidden-variable interpretation in the two-dimensional space.

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