A general theorem on local parts of hidden variable models

Abstract

We extend to any maximally entangled state of a bipartite system whose constituents are arbitrarily (but finite) dimensional the result, recently derived for two-dimensional constituents, that hidden variable theories cannot have local parts, i.e., that their local averages cannot differ from the quantum mechanical ones.

5 pages, submitted for publication

References in corpus (4)

• An experimental test of non-local realism
• No extension of quantum theory can have improved predictive power
• Testing quantum correlations versus single-particle properties within Leggett's model and beyond
• Hidden variable models for quantum theory cannot have any local part

Cited by in corpus (3)

• Onthological models predictively inequivalent to quantum theory
• An impossibility theorem for Parameter Independent hidden variable theories
• On the completeness of quantum mechanics and the interpretation of the state vector