Quantum algorithms for group convolution, cross-correlation, and equivariant transformations

Group convolutions and cross-correlations, which are equivariant to the actions of group elements, are commonly used to analyze or take advantage of symmetries inherent in a given problem setting. Here, we provide efficient quantum algorithms for performing linear group convolutions and cross-correl...

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Bibliographic Details
Main Authors: Castelazo, Grecia, Nguyen, Quynh T, De Palma, Giacomo, Englund, Dirk, Lloyd, Seth, Kiani, Bobak T
Format: Article
Language:English
Published: American Physical Society 2024
Online Access:https://hdl.handle.net/1721.1/153940