Dephasing-Enhanced Response and Phase Transitions in Quantum Boltzmann Samplers
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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BibTeX
@misc{zhang2026dephasingenhanced,
title = {{Dephasing-Enhanced Response and Phase Transitions in Quantum Boltzmann Samplers}},
author = {Yu-Xuan Zhang and Jing-Ling Chen and Leong-Chuan Kwek and Peng Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.19591},
eprint = {2609.19591},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.19591},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Dephasing-Enhanced Response and Phase Transitions in Quantum Boltzmann Samplers
AU - Yu-Xuan Zhang
AU - Jing-Ling Chen
AU - Leong-Chuan Kwek
AU - Peng Wang
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.19591
UR - https://arxiv.org/abs/2609.19591
AB - 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.
ER -