Dynamics of measurement-induced non-locality and geometric discord with initial system—environment correlations

Abstract

We analyze the dynamics of geometric measure of discord (GMOD) and measurement-induced non-locality (MIN) in the presence of initial system—reservoir correlations without Born and Markov approximation. Although the initial system—environment states have the same reduced density matrices for both the system and environment, the effects of different initial system—environment correlations have been shown to fundamentally alter the time evolution of GMOD and MIN between two quantum systems in both Markovian and non-Markovian regimes. In general, both GMOD and MIN experience a sudden increase for initially quantum-correlated states, and a sudden decrease for classical-correlated states before they reach the same stationary values with initially factorized states.