Defining Quantum-Ready Primitives for Hybrid HPC-QC Supercomputing: A Case Study in Hamiltonian Simulation *

Andrea Delgado ^1* Prasanna Date ²

• ¹ Physics Division, Oak Ridge National Laboratory (DOE), Oak Ridge, United States
• ² Computer Science and Mathematics Division, Oak Ridge National Laboratory (DOE), Oak Ridge, Tennessee, United States

As the demands for computational resources in scientific applications grow, hybrid highperformance computing (HPC) systems integrating classical and quantum computers (HPC-QC) are becoming increasingly relevant. This paper investigates quantum-classical integration strategies tailored to enhance Hamiltonian simulation, particularly in the context of hybrid supercomputing environments. We present an analysis of computational primitives in high-performance computing allocations dedicated to these tasks, identifying components in Hamiltonian simulation workflows that stand to benefit from quantum acceleration. By dissecting the Hamiltonian simulation process into discrete computational phases, we highlight key primitives that could be effectively offloaded to quantum processors, enabling a more efficient use of hybrid resources. We discuss empirical findings on system integration, potential offloading techniques, and the challenges of achieving seamless quantum-classical interoperability. Our results contribute to the understanding of quantum-ready primitives within HPC workflows, paving the way for optimized hybrid solutions in fields such as quantum physics and large-scale data-driven research.