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Toward convergence of effective-field-theory simulations on digital quantum computers

TitleToward convergence of effective-field-theory simulations on digital quantum computers
Publication TypeJournal Article
Year of Publication2019
AuthorsO.. Shehab, K.. Landsman, Y.. Nam, D.. Zhu, N.. M. Linke, M.. Keesan, R.. C. Pooser, and C.. Monroe
JournalPhys. Rev. A
Volume100
Pagination062319
Date PublishedDEC 16
Type of ArticleArticle
ISSN2469-9926
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.

DOI10.1103/PhysRevA.100.062319