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Simulations of quantum chemistry and quantum materials are believed to beamong the most important potential applications of quantum informationprocessors, but realizing practical quantum advantage for such problems ischallenging. Here, we introduce a simulation framework for strongly correlatedquantum systems that can be represented by model spin Hamiltonians. Ourapproach leverages reconfigurable qubit architectures to programmably simulatereal-time dynamics and introduces an algorithm for extracting chemicallyrelevant spectral properties via classical co-processing of quantum measurementresults. We develop a digital-analog simulation toolbox for efficientHamiltonian time evolution utilizing digital Floquet engineering andhardware-optimized multi-qubit operations to accurately realize complexspin-spin interactions, and as an example present an implementation proposalbased on Rydberg atom arrays. Then, we show how detailed spectral informationcan be extracted from these dynamics through snapshot measurements andsingle-ancilla control, enabling the evaluation of excitation energies andfinite-temperature susceptibilities from a single-dataset. To illustrate theapproach, we show how this method can be used to compute key properties of apolynuclear transition-metal catalyst and 2D magnetic materials.

Programmable Simulations of Molecules and Materials with Reconfigurable Quantum Processors