ArticleNature communications2016
Zero-temperature quantum annealing bottlenecks in the spin-glass phase.
Article in Nature communications, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Universal energy-space localization and stable quantum phases against time-dependent perturbations.Nature communications · 2026Article
- Single replica spin-glass phase detection using field variation and machine learning.PloS one · 2025Article
- Article
- Many-body localization enables iterative quantum optimization.Nature communications · 2022Article
- A coherent quantum annealer with Rydberg atoms.Nature communications · 2017Article
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1 author.
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Abstract
A promising approach to solving hard binary optimization problems is quantum adiabatic annealing in a transverse magnetic field. An instantaneous ground state-initially a symmetric superposition of all possible assignments of N qubits-is closely tracked as it becomes more and more localized near the global minimum of the classical energy. Regions where the energy gap to excited states is small (for instance at the phase transition) are the algorithm's bottlenecks. Here I show how for large problems the complexity becomes dominated by O(log N) bottlenecks inside the spin-glass phase, where the gap scales as a stretched exponential. For smaller N, only the gap at the critical point is relevant, where it scales polynomially, as long as the phase transition is second order. This phenomenon is demonstrated rigorously for the two-pattern Gaussian Hopfield model. Qualitative comparison with the Sherrington-Kirkpatrick model leads to similar conclusions.
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