A Correction to this paper has been published: https://doi.org/10.1038/s41567-021-01261-9.

We investigate the system-environment information flow from point of view ofcomplete complementarity relations. consider some commonly used noisy quantum channels:Amplitude damping, phase bit flip, bit-phase depolarizing, and correlatedamplitude damping. By starting with an entangled bipartite pure state, linearentropy being quantifier entanglement, we study how entanglement is redistributed tu...