Berlin 2024 – scientific programme
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QI: Fachverband Quanteninformation
QI 7: Quantum Error Correction
QI 7.10: Talk
Monday, March 18, 2024, 17:30–17:45, HFT-TA 441
Fermionic Tetrahedron: Test-Bed for Error Analysis on NISQ — •Daniel F. Urban1,2, Jannis Ehrlich1, and Christian Elsässer1,2 — 1Fraunhofer-Institut für Werkstoffmechanik IWM, Freiburg, Germany — 2Freiburger Materialforschungszentrum, Universität Freiburg, Germany
Current noisy intermediate-scale quantum computers (NISQ) are error-prone, such that the results are not reliable. We employ small Fermionic clusters as test models to investigate the influence of different kinds of hardware errors on the calculation of the electronic energy spectrum. For the Fermionic tetrahedron, four pair-wise coupled electronic orbitals, we analyze the measured expectation values and the quality of states obtained by variational optimization algorithms. We identify the challenges of ad-hoc QC calculations starting from a basis of atomic orbitals opposed to those that make use of a better preconditioned basis, e.g. orbitals of a self-consistent Hartree-Fock solution. We observe significant errors in the computed expectation values on real hardware, while the optimization itself gives states that have high fidelities when compared to the exact solution. We trace back the origin of the high errors in energies to the way the expectation value is calculated on the QC hardware, and we demonstrate to which extent Zero Noise Extrapolation (ZNE) can improve the results.
Keywords: VQE