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Accurate Computation of Relativistic Excitation Energies Using Quantum Annealing

Vikrant Kumar, Nishanth Baskaran, V. S. Prasannaa, K. Sugisaki, D. Mukherjee, K. Dyall, B. Das·December 4, 2022
Physics

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Abstract

We report the first results for the computation of relativistic effects in quantum many-body systems using quantum annealers. An average accuracy of 98.9% in the fine structure splitting of boron-like ions with respect to experiments has been achieved using the Quantum Annealer Eigensolver (QAE) algorithm on the D-Wave Advantage hardware. We obtain these results in the framework of the many-electron Dirac theory. We implement QAE through our quantum annealing workflow that includes a novel qubit encoding scheme and a perturbation theory-based decomposition strategy.

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