Theoretical guarantees for permutation-equivariant quantum neural networks

Louis Schatzki; Martín Larocca; Quynh T. Nguyen; Frédéric Sauvage; M. Cerezo

doi:10.1038/s41534-024-00804-1

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Theoretical guarantees for permutation-equivariant quantum neural networks

Louis Schatzki Martín Larocca Quynh T. Nguyen Frédéric Sauvage M. Cerezo

Year: 2024 Journal: npj Quantum Information Vol: 10 (1) Publisher: Nature Portfolio

DOI: 10.1038/s41534-024-00804-1

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Keywords:

Equivariant map Maxima and minima Computer science Quantum Homogeneous space Permutation (music) Permutation group Symmetry (geometry) Theoretical computer science Artificial neural network Topology (electrical circuits) Artificial intelligence Mathematics Pure mathematics Combinatorics Quantum mechanics Physics Geometry

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Quantum Computing Algorithms and Architecture

Physical Sciences → Computer Science → Artificial Intelligence

Machine Learning in Materials Science

Physical Sciences → Materials Science → Materials Chemistry

Quantum many-body systems

Physical Sciences → Physics and Astronomy → Atomic and Molecular Physics, and Optics

Theoretical guarantees for permutation-equivariant quantum neural networks

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