HYPERSPIM – ERC Advanced Project

High-dimensional computing: algorithms and machines

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High-dimensional computing

We develop novel paradigms and algorithms to speed up classical and quantum computation. The algorithms are driven by dynamics in high-dimensional manifolds, which enlarge the feature space and push towards the optimal solution.

Examples of our methodology are hyperspins as detailed in the following publications

(Quantum Hyperspins) https://arxiv.org/abs/2411.05728

(Classical Hyperspins) https://www.nature.com/articles/s41467-022-34847-9

(Exponential speedup in optimization) https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.132.017301