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Growth and spreading of quantum resources under random circuit dynamics

Sreemayee Aditya1,*, Xhek Turkeshi1,†, and Piotr Sierant2,‡

  • *Contact author: asreemay@uni-koeln.de
  • †Contact author: xturkesh@uni-koeln.de
  • ‡Contact author: piotr.sierant@bsc.es
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Phys. Rev. Research 8, 033062 – Published 15 July, 2026

DOI: https://doi.org/10.1103/79vj-nx6r

Abstract

Quantum many-body dynamics generate nonclassical correlations naturally described by quantum resource theories. Quantum magic resources (or nonstabilizerness) capture the 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 resources initially confined to a region of the chain. Our results provide a unified picture of spatiotemporal resource dynamics in local circuits and a baseline for more structured quantum many-body systems.

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Phys. Rev. Research 8, 033062– Published 15 July, 2026
  • Received 18 December 2025
  • Revised 16 April 2026
  • Accepted 18 June 2026
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