Estimation of deuteron binding energy with renormalization group-based effective interactions using the variational quantum eigensolver
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Abstract
We have obtained the binding energy of the deuteron on a quantum simulator using the variational quantum eigensolver for renormalization group (RG)-based low-momentum effective interactions. The binding energy (BE) has been calculated in the truncated harmonic oscillator (HO) basis, using the Qiskit-Aer simulator in both noise-free and noisy cases. The noise models have been taken from the actual IBM quantum hardware, and the results obtained have been extrapolated to the zero noise limit. The number of HO basis states (hence qubits) needed for computing the BE to within 1 percent of the experimental value in the quantum simulator, decreases with decreasing RG parameter $\lambda$. The $\lambda$-dependence of the extent of entanglement between the oscillator modes has been analysed.