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arXiv · 2609.19591

Dephasing-Enhanced Response and Phase Transitions in Quantum Boltzmann Samplers

Yu-Xuan Zhang·Jing-Ling Chen·Leong-Chuan Kwek·Peng Wang
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Abstract

Dephasing can drive a quantum Boltzmann sampler into an ordered phase while its programmed probability distribution remains disordered. We trace this transition to an enhanced conditional response: coherence loss changes how each spin responds to its neighbors, and interactions amplify the change. For all-to-all coupling, we establish the stationary transition at finite dephasing. Near criticality, the magnetization distribution depends on the ratio of dephasing strength to the square root of system size, retaining a finite imprint of coherence even as the local coherent correction vanishes. In the strong-dephasing limit on a square lattice, the dynamics generates effective multispin interactions and probability currents, with Ising-like critical statistics. Adjusting the local dissipative update restores the target probability process on arbitrary graphs.

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Yu-Xuan Zhang, Jing-Ling Chen, Leong-Chuan Kwek, Peng Wang. 2026-09-17. Dephasing-Enhanced Response and Phase Transitions in Quantum Boltzmann Samplers. https://arxiv.org/abs/2609.19591

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