Tripartite entropic uncertainty in an open system under classical environmental noise

Abstract

The uncertainty principle is a remarkable and fundamental feature in quantum mechanics that suggests a significant lower bound to predict the results of arbitrary incompatible observables measured on a particle. In this work, we study the dynamics of a tripartite entropic uncertainty bound and quantum fidelity in a three non-interacting qubits model initially prepared in a maximally entangled pure Greenberger–Horne–Zeilinger state and then subjected to classical environmental noise in different and common environments. Interestingly, we find that the dynamics of the tripartite uncertainty bound and fidelity are strongly affected by the type of system–environment interaction, and the growth speed of the uncertainty bound is strongly influenced by the disorder of the environment. Explicitly, our results show that the uncertainty bound and fidelity can be improved when the qubits are coupled to the noise in a common environment.