Permutation-equivariant quantum convolutional neural networks

arXiv:2404.18198v1 Announce Type: cross
Abstract: The Symmetric group $S_{n}$ manifests itself in large classes of quantum systems as the invariance of certain characteristics of a quantum state with respect to permuting the qubits. The subgroups of $S_{n}$ arise, among many other contexts, to describe label symmetry of classical images with respect to spatial transformations, e.g. reflection or rotation. Equipped with the formalism of geometric quantum machine learning, in this work we propose the architectures of equivariant quantum convolutional neural networks …

abstract arxiv convolutional convolutional neural networks cs.ai cs.cv cs.lg images networks neural networks quant-ph quantum qubits spatial state subgroups symmetry systems type