A Comprehensive Cross-Model Framework for Benchmarking the Performance of Quantum Hamiltonian Simulations

Chatterjee, Avimita; Rappaport, Sonny; Giri, Anish; Johri, Sonika; Proctor, Timothy; Neira, David E. Bernal; Sathe, Pratik Sunil; Lubinski, Thomas

doi:10.1109/TQE.2025.3558090

A Comprehensive Cross-Model Framework for Benchmarking the Performance of Quantum Hamiltonian Simulations

Journal Article · Fri Apr 04 00:00:00 EDT 2025 · IEEE Transactions on Quantum Engineering

DOI:https://doi.org/10.1109/TQE.2025.3558090· OSTI ID:2563618

^[1]; Rappaport, Sonny ^[2]; Giri, Anish ^[2]; Johri, Sonika ^[3]; ^[4]; ^[5]; ^[6]; ^[7]

Pennsylvania State Univ., University Park, PA (United States); SRI International, Menlo Park, CA (United States)
SRI International, Menlo Park, CA (United States)
Coherent Computing Inc., Cupertino, CA (United States)
Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Universities Space Research Association, Mountain View, CA (United States); Purdue Univ., West Lafayette, IN (United States)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Quantum Circuits Inc., New Haven, CT (United States); Quantum Economic Development Consortium Technical Advisory Committee on Standards and Performance Metrics, Arlington, VA (United States)

Quantum Hamiltonian simulation is one of the most promising applications of quantum computing and forms the basis for many quantum algorithms. Benchmarking them is an important gauge of progress in quantum computing technology. We present a methodology and software framework to evaluate various facets of the performance of gate-based quantum computers on Trotterized quantum Hamiltonian evolution. We propose three distinct modes for benchmarking: 1) comparing simulation on a real device to that on a noiseless classical simulator; 2) comparing simulation on a real device with exact diagonalization results; and 3) using scalable mirror circuit techniques to assess hardware performance in scenarios beyond classical simulation methods. We demonstrate this framework on five Hamiltonian models from the HamLib library: the Fermi–Hubbard and Bose–Hubbard models, the transverse-field Ising model, the Heisenberg model, and the Max3SAT problem. Experiments were conducted using Qiskit's Aer simulator, BlueQubit's CPU cluster and GPU simulators, and IBM's quantum hardware. Our framework, extendable to other Hamiltonians, provides comprehensive performance profiles that reveal hardware and algorithmic limitations and measure both fidelity and execution times, identifying crossover points where quantum hardware outperforms CPU/GPU simulators.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC)

Grant/Contract Number:: 89233218CNA000001; AC52-06NA25396

OSTI ID:: 2563618

Alternate ID(s):: OSTI ID: 2563619
OSTI ID: 2568699

Report Number(s):: LA-UR--24-29412; 10.1109/TQE.2025.3558090; 2689-1808

Journal Information:: IEEE Transactions on Quantum Engineering, Journal Name: IEEE Transactions on Quantum Engineering Vol. 6; ISSN 2689-1808

Publisher:: IEEECopyright Statement

Country of Publication:: United States

Language:: English

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A Comprehensive Cross-Model Framework for Benchmarking the Performance of Quantum Hamiltonian Simulations

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