Title | Toward convergence of effective-field-theory simulations on digital quantum computers |
Publication Type | Journal Article |
Year of Publication | 2019 |
Authors | O.. Shehab, K.. Landsman, Y.. Nam, D.. Zhu, N.. M. Linke, M.. Keesan, R.. C. Pooser, and C.. Monroe |
Journal | Phys. Rev. A |
Volume | 100 |
Pagination | 062319 |
Date Published | DEC 16 |
Type of Article | Article |
ISSN | 2469-9926 |
Abstract | 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 ansatze 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 E-4 = - 2.220 +/- 0.179 MeV may be compared with the exact deuteron ground-state energy -2.224 MeV. We also demonstrate an error mitigation technique using Richardson extrapolation on ion traps. The error mitigation circuit represents a record for deepest quantum circuit on a trapped-ion quantum computer. |
DOI | 10.1103/PhysRevA.100.062319 |