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

A1 Originalartikel i en vetenskaplig tidskrift (referentgranskad)

Interna författare/redaktörer

Publikationens författare: Weinberg Phillip, Tylutki Marek, Rönkkö Jami M., Westerholm Jan, Åström Jan A, Manninen Pekka, Törmä Päivi, Sandvik Anders W.
Förläggare: American Physical Society
Publiceringsår: 2020
Tidskrift: Physical Review Letters
Tidskriftsakronym: PRL
Volym: 124
Artikelns första sida, sidnummer: 090502
Artikelns sista sida, sidnummer: 090507


We discuss quantum annealing of the two-dimensional transverse-fi eld 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 fi nal 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-fi eld 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.


quantum annealing

Senast uppdaterad 2020-27-05 vid 03:42