  Quantum system interacting with environment can induce redundant encoding of
the information of system into a multipartite environment, which is the essence
of quantum Darwinism. At the same time, environment may scramble the initially
localized information about the system. We mainly investigate the relevance
between information scrambling in environment and the emergence of quantum
Darwinism. First, we generally identify that when the system shows a
Darwinistic behavior system information that is initially localized in the
environment is not scrambled, while when Darwinism disappears scrambling
occurs.We then verify our result through a collision model where the system,
consisting of one or two qubits, interacts with an ensemble of environmental
ancillas.Moreover, dependent on the nature of system-environment interactions,
our results also shows that the single qubit and two-qubit systems behave
differently for the emergence of QD and the scrambling, but the above relevance
between them remains valid.
