Classical-hidden-variable description for entanglement dynamics of two-qubit pure states

L. S. Silveira, R. M. Angelo

Published 2017-04-06Version 1

A hidden-variable model is explicitly constructed, by use of a Liouvillian description, for the dynamics of two coupled spin-1/2 particles. In this model, the underlying Hamiltonian trajectories play the role of deterministic hidden variables, whereas the shape of the initial probability distribution figures as a hidden variable that regulates the capacity of the model in producing correlations. We show that even though the model can very well describe the short-time entanglement dynamics of initially separated pure states, it is incapable of violating the CHSH inequality. Our work suggests that, if one takes the reluctance of a given quantum resource in being emulated by a local-hidden-variable model as signature of its nonclassicality degree, then one can conclude that entanglement and nonlocality are nonequivalent even in the context of two-qubit pure states.