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

Phillip Weinberg*, Marek Tylutki, Jami M. Ronkko, Jan Westerholm, Jan A. Astrom, Pekka Manninen, Paivi Torma, Anders W. Sandvik

*Corresponding author for this work

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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 languageEnglish
Article number090502
Pages (from-to)1-6
Number of pages6
JournalPhysical Review Letters
Volume124
Issue number9
DOIs
Publication statusPublished - 5 Mar 2020
MoE publication typeA1 Journal article-refereed

Keywords

  • PHASE-TRANSITION
  • DYNAMICS
  • SIMULATIONS
  • COLLOQUIUM
  • ATOMS

Cite this

Weinberg, P., Tylutki, M., Ronkko, J. M., Westerholm, J., Astrom, J. A., Manninen, P., ... Sandvik, A. W. (2020). Scaling and Diabatic Effects in Quantum Annealing with a D-Wave Device. Physical Review Letters, 124(9), 1-6. [090502]. https://doi.org/10.1103/PhysRevLett.124.090502