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Abstract Interactions between electrons and phonons play a crucial role in quantum materials. Yet, there is no universal method that would simultaneously accurately account for strong electron-phonon interactions and electronic correlations. By combining methods of the variational quantum eigensolver and the variational non-Gaussian solver, we develop a hybrid quantum-classical algorithm suitable for this type of correlated systems. This hybrid method tackles systems with arbitrarily strong electron-phonon coupling without increasing the number of required qubits and quantum gates, as compared to purely electronic models. We benchmark our method by applying it to the paradigmatic Hubbard-Holstein model at half filling, and show that it correctly captures the competition between charge density wave and antiferromagnetic phases, quantitatively consistent with exact diagonalization.more » « less
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Yin, Jia-Xin; Jiang, Yu-Xiao; Teng, Xiaokun; Hossain, Md. Shafayat; Mardanya, Sougata; Chang, Tay-Rong; Ye, Zijin; Xu, Gang; Denner, M. Michael; Neupert, Titus; et al (, Physical Review Letters)
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