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Pramana

, Volume 19, Issue 2, pp 159–173 | Cite as

When is a hidden variable theory compatible with quantum mechanics?

  • M D Srinivas
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.

Keywords

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

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Copyright information

© the Indian Academy of Sciences 1982

Authors and Affiliations

  • M D Srinivas
    • 1
  1. 1.Department of Theoretical PhysicsUniversity of MadrasMadrasIndia

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