We numerically emulate noisy intermediate-scale quantum (NISQ) devices and determine the minimal hardware requirements for two-site hybrid quantum-classical dynamical mean-field theory (DMFT). We develop a circuit recompilation algorithm which significantly reduces the number of quantum gates of the DMFT algorithm and find that the quantum-classical algorithm converges if the two-qubit gate fidelities are larger than 99%. The converged results agree with the exact solution within 10%, and perfect agreement within noise-induced error margins can be obtained for two-qubit gate fidelities exceeding 99.9%. By comparison, the quantum-classical algorithm without circuit recompilation requires a two-qubit gate fidelity of at least 99.999% to achieve perfect agreement with the exact solution. We thus find quantum-classical DMFT calculations can be run on the next generation of NISQ devices if combined with the recompilation techniques developed in this work.
@article{arxiv.2002.04612,
title = {Minimum Hardware Requirements for Hybrid Quantum-Classical DMFT},
author = {Ben Jaderberg and Abhishek Agarwal and Karsten Leonhardt and Martin Kiffner and Dieter Jaksch},
journal= {arXiv preprint arXiv:2002.04612},
year = {2020}
}
Comments
10 pages, 9 figures, 1 table. Updated with minor corrections for publication