The three phases of quantum annealing: fast, slow, and very slow

• URL: http://arxiv.org/abs/2112.08490v2
• Date: Thu, 14 Apr 2022 22:39:09 GMT
• Title: The three phases of quantum annealing: fast, slow, and very slow
• Authors: Artur Soriani, Pierre Naz\'e, Marcus V. S. Bonan\c{c}a, Bart{\l}omiej Gardas and Sebastian Deffner
• Abstract summary: Existing quantum annealers have proven themselves as viable technology for the first practical applications in the noisy-intermediate-scale-quantum era. We develop a phase diagram for driven Ising chains, from which the scaling behavior of the excess work can be read off as a function of process duration and system size.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Currently, existing quantum annealers have proven themselves as viable technology for the first practical applications in the noisy-intermediate-scale-quantum era. However, to fully exploit their capabilities, a comprehensive characterization of their finite-time excitations is instrumental. To this end, we develop a phase diagram for driven Ising chains, from which the scaling behavior of the excess work can be read off as a function of process duration and system size. "Fast" processes are well described by the Kibble-Zurek mechanism; "slow" processes are governed by effective Landau-Zener dynamics; and "very slow" processes can be approximated with adiabatic perturbation theory.

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