• When is a hidden variable theory compatible with quantum mechanics?

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    • Keywords


      Hidden variable theories; complete specification of the state of a system; compatibility with quantum mechanics; local causality; density operators; mixed ensembles; quantum mechanics

    • 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.

    • Author Affiliations


      M D Srinivas1

      1. Department of Theoretical Physics, University of Madras, Madras - 600 025, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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