用Transformer从观测数据反推量子系统退相干速率,无需知道初始态或哈密顿量。
Unraveling Quantum Environments: Transformer-Assisted Learning in Lindblad Dynamics
- 基于可观测量时间序列,用Transformer学习随时间变化的退相干率。
- 在单/双量子比特及光-物质相互作用模型中准确重建固定与时变退相干率。
- 适用于未知环境下的量子系统建模,适合量子技术开发者和理论研究者。
理解开放量子系统中的耗散过程对发展鲁棒量子技术至关重要。本文提出一种基于Transformer的机器学习框架,用于推断由林德布拉德主方程描述的量子系统的时变耗散速率。该方法仅需单个泡利算符期望值等可观测量的时间序列作为输入,无需了解初始量子态甚至系统哈密顿量。我们在一系列复杂度递增的开放量子模型上验证了该方法的有效性,包括具有时不变或时变跃迁速率的单量子比特系统、两量子比特相互作用系统(如海森堡模型和横向伊辛模型),以及涉及光-物质相互作用和腔体损耗且退相干率随时间变化的杰恩斯-库姆斯模型。结果表明,该方法能准确重构固定与时变的衰减速率。我们进一步证明,在合理假设下,这些模型中的跃迁速率可由有限个可观测量(如量子比特和光子测量)唯一确定。实际应用中,我们将Transformer架构与轻量级特征提取技术结合,高效学习系统动力学。结果表明,现代机器学习工具可作为识别开放量子系统未知环境的可扩展、数据驱动替代方案。
原文摘要 · Abstract (English)
Understanding dissipation in open quantum systems is crucial for the development of robust quantum technologies. In this work, we introduce a Transformer-based machine learning framework to infer time-dependent dissipation rates in quantum systems governed by the Lindblad master equation. Our approach uses time series of observable quantities, such as expectation values of single Pauli operators, as input to learn dissipation profiles without requiring knowledge of the initial quantum state or even the system Hamiltonian. We demonstrate the effectiveness of our approach on a hierarchy of open quantum models of increasing complexity, including single-qubit systems with time-independent or time-dependent jump rates, two-qubit interacting systems (e.g., Heisenberg and transverse Ising models), and the Jaynes--Cummings model involving light--matter interaction and cavity loss with time-dependent decay rates. Our method accurately reconstructs both fixed and time-dependent decay rates from observable time series. To support this, we prove that under reasonable assumptions, the jump rates in all these models are uniquely determined by a finite set of observables, such as qubit and photon measurements. In practice, we combine Transformer-based architectures with lightweight feature extraction techniques to efficiently learn these dynamics. Our results suggest that modern machine learning tools can serve as scalable and data-driven alternatives for identifying unknown environments in open quantum systems.
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