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arXiv · 2310.10442

A Set of Annealing Protocols for Optimized System Dynamics and Classification of Fully Connected Spin Glass Problems

Abstract

We perform exact diagonalization and time evolution of the Lechner-Hauke-Zoller (LHZ) annealing architecture [Science Advances 1(9), e1500838 (2015)] for ten physical qubits. Thereby, on a training set consisting of $2400$ problem instances, we perform the optimization task of tuning the local fields with the goal to identify a set of fixed optimal annealing protocols, that outperforms linear protocols on a large class of arbitrary LHZ problem instances. We show that average ground state fidelities of $0.9$ can be achieved by applying optimized protocols onto groups of problem instances with similar energy landscapes. Particularly, the set of optimized annealing protocols reduces annealing time required to reach a predefined threshold ground state fidelity by an average of $\sim72\%$, corresponding to a speed-up of factor $\sim3.5$. Moreover, as these protocols are meant to be readily applicable in experimental setups, they can be used as a starting point for problem-specific protocol optimization. In reverse, we discuss how previously optimized protocols can potentially be used to gauge the instantaneous energy landscape of a spin glass problem. Albeit simulations were performed on the LHZ architecture, identification of optimized protocols is not limited to either simulations or local connectivity only.

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Gino Bishop, Simone Montangero, Frank K. Wilhelm. 2023-10-16. A Set of Annealing Protocols for Optimized System Dynamics and Classification of Fully Connected Spin Glass Problems. https://arxiv.org/abs/2310.10442

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