Abstract
This paper is devoted to a study of some of the basic conditions which have to be satisfied by a hidden variable theory in order that it can reproduce the quantum mechanical probabilities. Of course one such condition, which emerges from the important theorem of Bell, is that a hidden variable theory has to be non-local. It is shown that a hidden variable theory is also incompatible with the conventional interpretation of mixed states and the mixing operation in quantum theory. It is therefore concluded that, apart from being non-local, a hidden variable theory would also necessarily violate the usual assumption of quantum theory that the density operator provides an adequate characterization of any ensemble of systems, pure or mixed.
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Srinivas, M.D. When is a hidden variable theory compatible with quantum mechanics?. Pramana - J. Phys 19, 159–173 (1982). https://doi.org/10.1007/BF02847001
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DOI: https://doi.org/10.1007/BF02847001