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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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An atom comprises protons and neutrons, which are contained inside the dense, central core called the nucleus, with electrons present around the nucleus. Taking into account the wave–particle duality of electrons and the uncertainty in position around the nucleus, quantum mechanics provides a more accurate model for the atomic structure. It describes atomic orbitals as the regions around the nucleus where electrons of discrete energy exist, characterized by four quantum...
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Area of Science:

  • Quantum computing
  • Computational chemistry
  • Molecular dynamics

Background:

  • Simulating quantum dynamics is computationally expensive.
  • Existing quantum algorithms often require fault-tolerant devices or the Born-Oppenheimer approximation.
  • The Born-Oppenheimer approximation separates electronic and nuclear motion, limiting accuracy.

Purpose of the Study:

  • To present the first quantum simulation approach for molecular vibronic dynamics in a pre-Born-Oppenheimer framework.
  • To enable exact treatment of electron-nuclear dynamics on near-term quantum devices.
  • To achieve exponential savings in computational cost compared to classical methods.

Main Methods:

  • Developed a quantum simulation approach using an analog mapping of nuclear degrees of freedom.
  • Mapped the molecular Hamiltonian to coupled qubits and bosonic modes.
  • Performed proof-of-principle emulation using a single-mode model system.

Main Results:

  • Demonstrated exponential savings in resource and computational costs compared to classical algorithms.
  • Showcased significantly smaller resource and implementation scaling than existing pre-Born-Oppenheimer quantum algorithms.
  • Validated the approach through emulation of vibronic dynamics, including nonadiabatic charge transfer.

Conclusions:

  • The proposed quantum approach enables accurate simulation of electron-nuclear dynamics without the Born-Oppenheimer approximation.
  • This method is suitable for near-term quantum devices due to its low cost and efficient scaling.
  • Offers a pathway to exact quantum dynamics simulations in chemistry and materials science.