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Peer-reviewedCC BYPhysical Review Research

Growth and spreading of quantum resources under random circuit dynamics

  • Sreemayee Aditya1,2
  • Xhek Turkeshi1,2
  • Piotr Sierant3
  1. 1Institut für Theoretische Physik
  2. 2Universität zu Köln
  3. 3Barcelona Supercomputing Center
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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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Cite

BibTeXRIS
BibTeX
@article{aditya2026growth,
  title = {{Growth and spreading of quantum resources under random circuit dynamics}},
  author = {Sreemayee Aditya and Xhek Turkeshi and Piotr Sierant},
  journal = {Physical Review Research},
  year = {2026},
  month = jun,
  doi = {10.1103/79vj-nx6r},
  url = {https://doi.org/10.1103/79vj-nx6r},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Growth and spreading of quantum resources under random circuit dynamics
AU  - Sreemayee Aditya
AU  - Xhek Turkeshi
AU  - Piotr Sierant
PY  - 2026
DA  - 2026/06/18
JO  - Physical Review Research
DO  - 10.1103/79vj-nx6r
UR  - https://doi.org/10.1103/79vj-nx6r
AB  - 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.
SN  - 2643-1564
ER  -