On the possibility of local hidden-variable theories

Flavien Hirsch, Marco Túlio Quintino, Tamás Vértesi +2 more

Constructing local hidden variable (LHV) models for entangled quantum states is a fundamental problem, with implications for the foundations of quantum theory and for quantum information processing. It is, however, a challenging problem, as the model should reproduce quantum predictions for all possible local measurements. Here we present a simple method for building LHV models, applicable to any entangled state and considering continuous sets of measurements. This leads to a sequence of tests which, in the limit, fully captures the set of quantum states admitting a LHV model. Similar methods are developed for local hidden state models. We illustrate the practical relevance of these methods with several examples.

Abner Shimony

Ronald F. Fox, B. Rosner

It is shown that by making a plausible assumption concerning the behavior of linear polarizers, it is possible to relax the experimental condition of Clauser, Horne, Shimony, and Holt for testing local hidden-variable theories.

Peter J. Lewis

Junli Li, Cong‐Feng Qiao

It is commonly believed that the local hidden variable theories (LHVTs) can be tested through measuring the Bell inequalities. This scheme, for the massive particle system, was originally set up for the entangled ${K}^{0}{\overline{K}}^{0}$ pair system from the $\ensuremath{\phi}$ factory. In this paper we show that the $J/\ensuremath{\Psi}\ensuremath{\rightarrow}{K}^{0}{\overline{K}}^{0}$ process is even more realistic for this goal. We analyze the unique properties of $J/\ensuremath{\Psi}$ in the detection of basic quantum effects, and find that it is possible to use $J/\ensuremath{\Psi}$ decay as a test of LHVTs in the future $\ensuremath{\tau}$-charm factory. Our analyses and conclusions are generally also true for other heavy onium decays.