Universal scaling and protocol-dependent amplitude in hybrid quantum walks

Abstract:Quantum walks spread ballistically but become diffusive with classical admixture. We compare two hybrid walks using identical quantum and classical steps at the same classical-step rate but ordered differently in time. Any nonzero admixture yields diffusion. Near the quantum limit, both diffusion coefficients have first-order poles, but their amplitudes differ by about a factor of two. The coherence timescale sets the pole order, while temporal organization sets the amplitude. We expect our analytical framework to apply broadly to quantum--classical hybrid systems.

Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech)

arXiv:2609.01951 [quant-ph]

(or arXiv:2609.01951v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.01951 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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