Transferable Lindblad Variational Ansatz for Accelerated Steady-State Preparation
Abstract
Open quantum systems naturally relax toward steady states that underpin diverse nonequilibrium phenomena and quantum technologies. We independently control the coherent and dissipative constituents of a Lindblad generator to construct a variational product formula, termed the Lindblad variational ansatz (LVA), that accelerates steady-state preparation over natural relaxation through an optimized preparation path. The protocol consists of small-system learning, continuation to greater depth, and transfer to larger systems, followed when needed by reference-free post-training on quantum simulators. We demonstrate LVA in a bulk-dissipative Ising chain and a boundary-driven Heisenberg chain, where transferred protocols achieve matched preparation accuracies with fewer generator blocks than time-optimized first- and second-order Trotter formulas. The acceleration arises from coordinated endpoint preparation: earlier controls shape the dissipative-mode amplitudes so that the final dissipative step brings multiple components simultaneously close to their target values. Our results suggest a route to open-system quantum simulation that combines classical training on small systems with deployment and optional refinement on larger quantum devices.
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BibTeX
@misc{fan2026transferable,
title = {{Transferable Lindblad Variational Ansatz for Accelerated Steady-State Preparation}},
author = {Yun-Zhuo Fan and Dan-Bo Zhang},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04919},
eprint = {2611.04919},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04919},
}
RIS
TY - UNPB
TI - Transferable Lindblad Variational Ansatz for Accelerated Steady-State Preparation
AU - Yun-Zhuo Fan
AU - Dan-Bo Zhang
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04919
UR - https://arxiv.org/abs/2611.04919
AB - Open quantum systems naturally relax toward steady states that underpin diverse nonequilibrium phenomena and quantum technologies. We independently control the coherent and dissipative constituents of a Lindblad generator to construct a variational product formula, termed the Lindblad variational ansatz (LVA), that accelerates steady-state preparation over natural relaxation through an optimized preparation path. The protocol consists of small-system learning, continuation to greater depth, and transfer to larger systems, followed when needed by reference-free post-training on quantum simulators. We demonstrate LVA in a bulk-dissipative Ising chain and a boundary-driven Heisenberg chain, where transferred protocols achieve matched preparation accuracies with fewer generator blocks than time-optimized first- and second-order Trotter formulas. The acceleration arises from coordinated endpoint preparation: earlier controls shape the dissipative-mode amplitudes so that the final dissipative step brings multiple components simultaneously close to their target values. Our results suggest a route to open-system quantum simulation that combines classical training on small systems with deployment and optional refinement on larger quantum devices.
ER -