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Quantum Simulation

Effective Kinetic Monte Carlo for a Quantum Epidemic Process

arXiv
Authors: Alexander Sturges, Hugo Smith, Matteo Marcuzzi

Year

2025

Paper ID

36153

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

Inspired by previous works on epidemic-like processes in open quantum systems, we derive an elementary quantum epidemic model that is simple enough to be studied via Quantum Jump Monte Carlo simulations at reasonably large system sizes. We show how some weak symmetries of the Lindblad equation allow us to map the dynamics onto a classical Kinetic Monte Carlo; this simplified, effective dynamics can be described via local stochastic jumps coupled with a local deterministic component. Simulations are then used to reconstruct a phase diagram which displays stationary features completely equivalent to those of completely classical epidemic processes, but richer dynamics with multiple, recurrent waves of infection.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Inspired by previous works on epidemic-like processes in open quantum systems, we derive an elementary quantum epidemic model that is simple enough to be studied via Quantum...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.22950 [2] arXiv https://arxiv.org/abs/2512.22950 [3] Publisher https://arxiv.org/abs/2512.22950

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