Kavli Affiliate: Eliska Greplova
| First 5 Authors: Arash Ahmadi, Jonas Helsen, Cagan Karaca, Eliska Greplova,
| Summary:
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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