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PreprintCC BY 4.0arXiv

Atomic Transition Rates on a Quantum Annealer

  • Boni Paul
  • Subimal Deb
  • Per Jönsson
  • Jörgen Ekman
  • Bhanu Pratap Das
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Abstract

Electric-dipole (E1) transition rates underlie applications across many areas of physics and demand more accurate wavefunctions than ground-state energies do. We report the first calculation of E1 transition rates on a D-Wave quantum annealer, for neutral Li, Li-like Be, neutral Na, and Na-like Mg. We use a zooming-and-sigma-annealing scheme with floating-point encoding within the Quantum Annealer Eigensolver (QAE) algorithm, which yields ground-state eigenvectors accurate to the chosen three decimal places. Treating the lowest even-parity (2S1/2) and odd-parity (2P1/2, 2P3/2) states as separate angular-symmetry sectors gives QAE access to excited atomic configurations for transition-rate calculations. Our results reproduce relativistic configuration-interaction values obtained classically to within numerical precision, demonstrating that the QAE framework extends to a broader class of atomic properties on near-term quantum hardware.

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Cite

BibTeXRIS
BibTeX
@misc{paul2026atomic,
  title = {{Atomic Transition Rates on a Quantum Annealer}},
  author = {Boni Paul and Subimal Deb and Per Jönsson and Jörgen Ekman and Bhanu Pratap Das},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07835},
  eprint = {2611.07835},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07835},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Atomic Transition Rates on a Quantum Annealer
AU  - Boni Paul
AU  - Subimal Deb
AU  - Per Jönsson
AU  - Jörgen Ekman
AU  - Bhanu Pratap Das
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07835
UR  - https://arxiv.org/abs/2611.07835
AB  - Electric-dipole (E1) transition rates underlie applications across many areas of physics and demand more accurate wavefunctions than ground-state energies do. We report the first calculation of E1 transition rates on a D-Wave quantum annealer, for neutral Li, Li-like Be, neutral Na, and Na-like Mg. We use a zooming-and-sigma-annealing scheme with floating-point encoding within the Quantum Annealer Eigensolver (QAE) algorithm, which yields ground-state eigenvectors accurate to the chosen three decimal places. Treating the lowest even-parity (^2S_1/2) and odd-parity (^2P_1/2, ^2P_3/2) states as separate angular-symmetry sectors gives QAE access to excited atomic configurations for transition-rate calculations. Our results reproduce relativistic configuration-interaction values obtained classically to within numerical precision, demonstrating that the QAE framework extends to a broader class of atomic properties on near-term quantum hardware.
ER  -