Počet záznamů: 1  

Best-Practice Aspects of Quantum-Computer Calculations: A Case Study of the Hydrogen Molecule

  1. 1.
    0555110 - ÚFM 2023 RIV CH eng J - Článek v odborném periodiku
    Miháliková, Ivana - Friák, Martin - Pivoluska, M. - Plesch, M. - Saip, M. - Šob, Mojmír
    Best-Practice Aspects of Quantum-Computer Calculations: A Case Study of the Hydrogen Molecule.
    Molecules. Roč. 27, č. 3 (2022), č. článku 597. E-ISSN 1420-3049
    Institucionální podpora: RVO:68081723
    Klíčová slova: chemistry * optimization * quantum computers * hydrogen molecule * variational quantum eigensolver * circuit architecture * quantum computing * quantum chemistry * cobyla * spsa
    Obor OECD: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
    Impakt faktor: 4.6, rok: 2022
    Způsob publikování: Open access
    https://www.mdpi.com/1420-3049/27/3/597

    Quantum computers are reaching one crucial milestone after another. Motivated by their progress in quantum chemistry, we performed an extensive series of simulations of quantum-computer runs that were aimed at inspecting the best-practice aspects of these calculations. In order to compare the performance of different setups, the ground-state energy of the hydrogen molecule was chosen as a benchmark for which the exact solution exists in the literature. Applying the variational quantum eigensolver (VQE) to a qubit Hamiltonian obtained by the Bravyi-Kitaev transformation, we analyzed the impact of various computational technicalities. These included (i) the choice of the optimization methods, (ii) the architecture of the quantum circuits, as well as (iii) the different types of noise when simulating real quantum processors. On these, we eventually performed a series of experimental runs as a complement to our simulations. The simultaneous perturbation stochastic approximation (SPSA) and constrained optimization by linear approximation (COBYLA) optimization methods clearly outperformed the Nelder-Mead and Powell methods. The results obtained when using the Ry variational form were better than those obtained when the RyRz form was used. The choice of an optimum entangling layer was sensitively interlinked with the choice of the optimization method. The circular entangling layer was found to worsen the performance of the COBYLA method, while the full-entangling layer improved it. All four optimization methods sometimes led to an energy that corresponded to an excited state rather than the ground state. We also show that a similarity analysis of measured probabilities can provide a useful insight.
    Trvalý link: http://hdl.handle.net/11104/0330846

     
     
Počet záznamů: 1  

  Tyto stránky využívají soubory cookies, které usnadňují jejich prohlížení. Další informace o tom jak používáme cookies.