Ground-State Energy Estimation on Current Quantum Hardware through the Variational Quantum Eigensolver: A Practical Study.

ABSTRACT: We investigate the variational quantum eigensolver (VQE) for estimating the ground-state energy of the BeH₂ molecule, emphasizing practical implementation and performance on current quantum hardware. Our research presents a comparative study of HEA and UCCSD ansätze on noiseless and noisy simulations and implements VQE on recent IBM quantum computer noise models and a real quantum computer, IBM Fez, providing a fully functional code employing Qiskit 1.2. Our experiments confirm UCCSD's reliability in ideal conditions, while the HEA demonstrates greater robustness to hardware noise, achieving chemical accuracy on state-vector simulation (SVS). The results reveal that achieving ground-state energy within chemical accuracy is feasible without error mitigation during VQE convergence

SUBMITTER: Belaloui NE 

PROVIDER: S-EPMC12288014 | biostudies-literature | 2025 Jul

REPOSITORIES: biostudies-literature