Abstract
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 language | English |
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Article number | 090502 |
Pages (from-to) | 090502-1–090502-6 |
Journal | Physical Review Letters |
Volume | 124 |
Issue number | 9 |
DOIs | |
Publication status | Published - 6 Mar 2020 |
MoE publication type | A1 Journal article-refereed |
Keywords
- quantum annealing