Mutual information fluctuations and non-stabilizerness in random circuits

Understand

The emergence of quantum technologies has brought much attention to the characterization of quantum resources as well as the classical simulatability of quantum processes.

• Quantum resources, as quantified by non-stabilizerness, have in one theoretical approach been linked to a family of entropic, monotonic functions.
• In this work, we demonstrate both analytically and numerically a simple relationship between non-stabilizerness and information scrambling using the fluctuations of an entropy-based quantifier.
• Specifically, we find that the non-stabilizerness generated by a random quantum circuit is proportional to fluctuations of mutual information.