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

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.

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PHASE-TRANSITION, DYNAMICS, SIMULATIONS, COLLOQUIUM, ATOMS

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10.1103/PhysRevLett.124.090502

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Weinberg, P, Tylutki, M, Ronkko, J M, Westerholm, J, Astrom, J A, Manninen, P, Torma, P & Sandvik, A W 2020, ' Scaling and Diabatic Effects in Quantum Annealing with a D-Wave Device ', Physical Review Letters, vol. 124, no. 9, 090502, pp. 1-6 . https://doi.org/10.1103/PhysRevLett.124.090502

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https://urn.fi/URN:NBN:fi:aalto-202004032686

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[article-cris] Perustieteiden korkeakoulu / SCI

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

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