A Validation Framework for Quantum Simulation of Spin Dynamics against Inelastic Neutron Scattering and Classical Simulation
quant-ph
Submitted: 2026-07-02
Updated: 2026-10-12
Code: https://github.com/unitaryfoundation/metriq-gym
License: http://creativecommons.org/licenses/by/4.0/
The gist: Establishing quantum simulations as reliable tools for materials research requires quantitative validation against experiments and, where available, classical many-body calculations.
Terminology
Abstract
Establishing quantum simulations as reliable tools for materials research requires quantitative validation against experiments and, where available, classical many-body calculations. For dynamical spin response, such validation remains challenging because experiment, classical simulation, and quantum simulation do not produce the same native observables. This challenge is increasingly relevant as quantum simulation protocols for dynamical response progress from theory to hardware-level benchmarking against neutron scattering data. The longer-term goal is to extend validation to classically intractable regimes accessible through future fault-tolerant implementations. Here, we develop a cross-pipeline validation framework for quantum simulation of dynamical spin response, using inelastic neutron scattering and classical many-body simulation as complementary experimental and computational anchors. The framework brings these pipelines to common momentum- and energy-resolved comparison levels through explicit forward and inverse observable maps, propagates uncertainty via covariance matrices or resampling, tests robustness to structured distortion, and evaluates agreement using a hierarchy of complementary metric families. It distinguishes stochastic uncertainty from robustness-induced distortion, carries both through the comparison chain, and uses the resulting metric-level uncertainty and distortion information to support layered validation at the pipeline, solver, and model levels. We also introduce actuator-aware feedback logic to improve agreement without obscuring the physical origin of any remaining mismatch. We close by outlining future extensions of this methodology, including upstream uncertainty and distortion modeling, adaptive feedback, asymmetric validation beyond full classical benchmarking, fault-tolerant workflows, and community infrastructure for reproducible validation.
Sources
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- Simulating X-ray absorption spectroscopy of battery materials on a quantum computer
- Fast simulations of X-ray absorption spectroscopy for battery materials on a quantum computer
- Robust Chiral Edge Dynamics of a Kitaev Honeycomb on a Trapped Ion Processor
- Nonlinear light cone spreading of correlations in a triangular quantum magnet: a hard quantum simulation target
- Quasiparticle Breakdown and Spin Hamiltonian of the Frustrated Quantum Pyrochlore Yb$_2$Ti$_2$O$_7$ in Magnetic Field
- Magnetic order, magnons, and crystal fields in van der Waals CeSiI
- Semiclassical Routes to the $\alpha$-RuCl$_3$ Scattering Continuum via Model Meta$-$Analysis
- Structure-Aware Transformers for Learning Near-Optimal Trotter Orderings with System-Size Generalization in 1D Heisenberg Hamiltonians
- An Analysis of Commutation-Based Trotter Ordering Strategies on Heisenberg-Style Hamiltonians
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