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arXiv · 2307.00791

Proof of avoidability of the quantum first-order transition in transverse magnetization in quantum annealing of finite-dimensional spin glasses

Mizuki Sanatani·Naoto Shiraishi·Koji Hukushima
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Abstract

It is rigorously shown that an appropriate quantum annealing for any finite-dimensional spin system has no quantum first-order transition in transverse magnetization. This result can be applied to finite-dimensional spin-glass systems, where the ground state search problem is known to be hard to solve. Consequently, it is strongly suggested that the quantum first-order transition in transverse magnetization is not fatal to the difficulty of combinatorial optimization problems in quantum annealing.

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Mizuki Sanatani, Naoto Shiraishi, Koji Hukushima. 2023-07-03. Proof of avoidability of the quantum first-order transition in transverse magnetization in quantum annealing of finite-dimensional spin glasses. https://doi.org/10.1007/s10955-023-03223-2

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