Neural Operator Quantum State: A Foundation Model for Quantum Dynamics

• URL: http://arxiv.org/abs/2603.25066v1
• Date: Thu, 26 Mar 2026 06:10:14 GMT
• Title: Neural Operator Quantum State: A Foundation Model for Quantum Dynamics
• Abstract summary: We introduce the Neural Operator Quantum State (NOQS) as a foundation model for quantum dynamics.<n>Our approach aims to emphlearn the solution operator that maps entire driving protocols to time-evolved quantum states.<n>We validate NOQS on the two-dimensional Ising model with time-dependent longitudinal and transverse fields.
• Score: 8.415180820101964
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Capturing the dynamics of quantum many-body systems under time-dependent driving protocols is a central challenge for numerical simulations. Existing methods such as tensor networks and time-dependent neural quantum states, however, must be re-run for every protocol. In this work, we introduce the Neural Operator Quantum State (NOQS) as a foundation model for quantum dynamics. Rather than solving the Schrödinger equation for individual trajectories, our approach aims to \emph{learn the solution operator} that maps entire driving protocols to time-evolved quantum states. Once trained, the NOQS predicts time evolution under unseen protocols in a single forward pass, requiring no additional optimization. We validate NOQS on the two-dimensional Ising model with time-dependent longitudinal and transverse fields, demonstrating accurate prediction not only for unseen in-distribution protocols, but also for qualitatively different, out-of-distribution functional forms of driving. Further, a single NOQS model can be transferred between different temporal resolutions, and can be efficiently fine-tuned with sparse experimental measurements to improve predictions across all observables at negligible cost. Our work introduces a new paradigm for quantum dynamics simulation and provides a practical computational-experimental interface for driven quantum systems.

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