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20212023
most citedTheory for Equivariant Quantum Neural Networks

99 citations · 170 across the 5 of their papers we have counts for

collaborators

5 papers

quant-ph2023★ 14 cited

Improving the speed of variational quantum algorithms for quantum error correction

Fabio Zoratti, Giacomo De Palma, Bobak Kiani +4

We consider the problem of devising a suitable Quantum Error Correction (QEC) procedures for a generic quantum noise acting on a quantum circuit. In general, there is no analytic u…

quant-ph2022★ 99 cited

Theory for Equivariant Quantum Neural Networks

Quynh T. Nguyen, Louis Schatzki, Paolo Braccia +5

Quantum neural network architectures that have little-to-no inductive biases are known to face trainability and generalization issues. Inspired by a similar problem, recent breakth…

quant-ph2022★ 32 cited

Representation Theory for Geometric Quantum Machine Learning

Michael Ragone, Paolo Braccia, Quynh T. Nguyen +5

Recent advances in classical machine learning have shown that creating models with inductive biases encoding the symmetries of a problem can greatly improve performance. Importatio…

quant-ph2022★ 17 cited

Block-encoding dense and full-rank kernels using hierarchical matrices: applications in quantum numerical linear algebra

Quynh T. Nguyen, Bobak T. Kiani, Seth Lloyd

Many quantum algorithms for numerical linear algebra assume black-box access to a block-encoding of the matrix of interest, which is a strong assumption when the matrix is not spar…

quant-ph2021★ 8 cited

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

Grecia Castelazo, Quynh T. Nguyen, Giacomo De Palma +3

Group convolutions and cross-correlations, which are equivariant to the actions of group elements, are commonly used in mathematics to analyze or take advantage of symmetries inher…