TY - JOUR T1 - Toward convergence of effective field theory simulations on digital quantum computers Y1 - 2019 A1 - Omar Shehab A1 - Kevin A. Landsman A1 - Yunseong Nam A1 - Daiwei Zhu A1 - Norbert M. Linke A1 - Matthew J. Keesan A1 - Raphael C. Pooser A1 - Christopher R. Monroe AB -

We report results for simulating an effective field theory to compute the binding energy of the deuteron nucleus using a hybrid algorithm on a trapped-ion quantum computer. Two increasingly complex unitary coupled-cluster ansaetze have been used to compute the binding energy to within a few percent for successively more complex Hamiltonians. By increasing the complexity of the Hamiltonian, allowing more terms in the effective field theory expansion and calculating their expectation values, we present a benchmark for quantum computers based on their ability to scalably calculate the effective field theory with increasing accuracy. Our result of E4=−2.220±0.179MeV may be compared with the exact Deuteron ground-state energy −2.224MeV. We also demonstrate an error mitigation technique using Richardson extrapolation on ion traps for the first time. The error mitigation circuit represents a record for deepest quantum circuit on a trapped-ion quantum computer. 

UR - https://arxiv.org/abs/1904.04338 ER -