Relevance between Information scrambling and quantum Darwinism

TL;DR

This paper explores how information scrambling in the environment affects the emergence of quantum Darwinism, revealing that non-scrambled information correlates with Darwinistic behavior in quantum systems.

Contribution

It establishes a general relation between information scrambling and quantum Darwinism, supported by a collision model analysis with one and two-qubit systems.

Findings

Non-scrambled environment information correlates with quantum Darwinism.

Different system sizes (single vs. two-qubit) show distinct behaviors, but the relevance remains.

Scrambling inhibits the emergence of quantum Darwinism.

Abstract

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.