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This is a theoretical result on how quickly quantum spin systems reach thermal equilibrium, with mixing times that scale logarithmically with system size and error tolerance for arbitrary interaction graphs, including fully connected ones. For quantum computing readers, the practical relevance is Gibbs state preparation, a primitive used in quantum simulation and algorithms. The bounds apply to high-temperature regimes, and the work extends prior Bakshi et al. results, so its impact depends on how well these estimates hold up in other settings.
Researchers Bound Spin-System Thermalisation Time Logarithmically
Can complex spin systems with every particle interacting reach thermal equilibrium at speeds independent of their network structure? Mixing times are now shown to scale logarithmically with system size and desired accuracy, a feat previously unattainable without restricting interactions to specific geometries. This work unlocks efficient Gibbs state preparation for both sparse *and* dense quantum networks using insights from classical statistical physics.
Local quantum Hamiltonians on arbitrary interaction graphs, including fully connected systems, are investigated via Lindblad dynamics that satisfies Kubo, Martin, Schwinger (KMS) detailed balance. The approach builds upon a quantum analogue of the classical Dobrushin condition, which controls the influence of local perturbations on the rest of the system. Using the quantum Wasserstein distance of order 1,…
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