Scaling and Diabatic Effects in Quantum Annealing with a D-Wave Device

Weinberg Phillip, Tylutki Marek, Rönkkö Jami M., Jan Westerholm, Åström Jan A, Manninen Pekka, Törmä Päivi, Sandvik Anders W.

Research output: Contribution to journalArticleScientificpeer-review

43 Citations (Scopus)


We discuss quantum annealing of the two-dimensional transverse-field Ising model on a D-Wave device, encoded on L×L lattices with L≤32. Analyzing the residual energy and deviation from maximal magnetization in the final classical state, we find an optimal L dependent annealing rate v for which the two quantities are minimized. The results are well described by a phenomenological model with two powers of v and L-dependent prefactors to describe the competing effects of reduced quantum fluctuations (for which we see evidence of the Kibble-Zurek mechanism) and increasing noise impact when v is lowered. The same scaling form also describes results of numerical solutions of a transverse-field Ising model with the spins coupled to noise sources. We explain why the optimal annealing time is much longer than the coherence time of the individual qubits.

Original languageEnglish
Article number090502
Pages (from-to)090502-1–090502-6
JournalPhysical Review Letters
Issue number9
Publication statusPublished - 6 Mar 2020
MoE publication typeA1 Journal article-refereed


  • quantum annealing


Dive into the research topics of 'Scaling and Diabatic Effects in Quantum Annealing with a D-Wave Device'. Together they form a unique fingerprint.

Cite this