Mutual information fluctuations and non-stabilizerness in random circuits

• URL: http://arxiv.org/abs/2408.03831v2
• Date: Mon, 12 Aug 2024 12:21:21 GMT
• Title: Mutual information fluctuations and non-stabilizerness in random circuits
• Authors: Arash Ahmadi, Jonas Helsen, Cagan Karaca, Eliska Greplova,
• Abstract summary: We show a simple relationship between non-stabilizerness and information scrambling. We explore the role of non-stabilizerness in measurement-induced entanglement phase transitions.
• Score: 0.48212500317840945
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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. Furthermore, we explore the role of non-stabilizerness in measurement-induced entanglement phase transitions. We find that the fluctuations of mutual information decrease with increasing non-stabilizerness yielding potentially easier identification of the transition point. Our work establishes a key connection between quantum resource theory, information scrambling and measurement-induced entanglement phase transitions.

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