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Molecular dynamics on quantum annealers.

Igor Gaidai1, Dmitri Babikov2, Alexander Teplukhin3

  • 1Department of Chemistry, Wehr Chemistry Building, Marquette University, Milwaukee, WI, 53201-1881, USA.

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Quantum annealers can simulate molecular dynamics using the Quantum Differential Equations (QDE) method. This approach accurately models hydrogen molecule vibrations, showing promise for complex simulations.

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Area of Science:

  • Quantum Computing
  • Computational Chemistry
  • Molecular Dynamics

Background:

  • Molecular dynamics simulations are crucial for understanding chemical reactions and material properties.
  • Classical computational methods can be limited by the complexity and scale of molecular systems.
  • Quantum computing offers a novel paradigm for tackling computationally intensive scientific problems.

Purpose of the Study:

  • To demonstrate the practical application of quantum annealers for molecular dynamics simulations.
  • To introduce and apply the Quantum Differential Equations (QDE) methodology for simulating classical trajectories.
  • To assess the performance of quantum annealing in modeling molecular vibrations across different regimes.

Main Methods:

  • Development and application of the Quantum Differential Equations (QDE) framework.
  • Utilizing the D-Wave 2000Q quantum annealer to propagate classical trajectories.
  • Simulating the vibrational motion of the hydrogen molecule in harmonic, anharmonic, and dissociative states.
  • Exploring and comparing alternative computational strategies, including classical post-processing.

Main Results:

  • The QDE methodology successfully simulated hydrogen molecule vibrations, yielding results consistent with analytical solutions.
  • Quantum annealing demonstrated rapid convergence to reference solutions across various vibrational regimes.
  • Combining quantum annealing with a greedy classical post-processing algorithm provided the most accurate and efficient results.
  • The QDE framework proved effective for simulating systems of first-order ordinary nonlinear differential equations.

Conclusions:

  • Quantum annealers present a viable tool for molecular dynamics simulations.
  • The QDE framework is a general and effective method for leveraging quantum annealers in computational science.
  • Hybrid quantum-classical approaches enhance the accuracy and efficiency of molecular dynamics simulations.