Growth and spreading of quantum resources under random circuit dynamics

• URL: http://arxiv.org/abs/2512.14827v1
• Date: Tue, 16 Dec 2025 19:00:04 GMT
• Title: Growth and spreading of quantum resources under random circuit dynamics
• Authors: Sreemayee Aditya, Xhek Turkeshi, Piotr Sierant,
• Abstract summary: Quantum magic resources capture deviation from classically simulable stabilizer states.<n>Coherence and fermionic non-Gaussianity measure departure from the computational basis.<n>We track these resources in a subsystem of a one-bit chain evolved by random brickwalls.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum many-body dynamics generate nonclassical correlations naturally described by quantum resource theories. Quantum magic resources (or nonstabilizerness) capture deviation from classically simulable stabilizer states, while coherence and fermionic non-Gaussianity measure departure from the computational basis and from fermionic Gaussian states, respectively. We track these resources in a subsystem of a one-dimensional qubit chain evolved by random brickwall circuits. For resource-generating gates, evolution from low-resource states exhibits a universal rise-peak-fall behavior, with the peak time scaling logarithmically with subsystem size and the resource eventually decaying as the subsystem approaches a maximally mixed state. Circuits whose gates do not create the resource but entangle neighboring qubits, give rise to a ballistic spreading of quantum resource initially confined to a region of the initial state. Our results give a unified picture of spatiotemporal resource dynamics in local circuits and a baseline for more structured quantum many-body systems.

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