Representation theory for geometric quantum machine learning

M Ragone, P Braccia, QT Nguyen, L Schatzki… - arxiv preprint arxiv …, 2022 - arxiv.org
Recent advances in classical machine learning have shown that creating models with
inductive biases encoding the symmetries of a problem can greatly improve performance …

Quantum data compression by principal component analysis

CH Yu, F Gao, S Lin, J Wang - Quantum Information Processing, 2019 - Springer
Data compression can be achieved by reducing the dimensionality of high-dimensional but
approximately low-rank datasets, which may in fact be described by the variation of a much …

Realization of a quantum autoencoder for lossless compression of quantum data

CJ Huang, H Ma, Q Yin, JF Tang, D Dong, C Chen… - Physical Review A, 2020 - APS
As a ubiquitous aspect of modern information technology, data compression has a wide
range of applications. Therefore, a quantum autoencoder which can compress quantum …

Optimal universal programming of unitary gates

Y Yang, R Renner, G Chiribella - Physical review letters, 2020 - APS
A universal quantum processor is a device that takes as input a (quantum) program,
containing an encoding of an arbitrary unitary gate, and a (quantum) data register, on which …

Efficient algorithms for quantum information bottleneck

M Hayashi, Y Yang - Quantum, 2023 - quantum-journal.org
The ability to extract relevant information is critical to learning. An ingenious approach as
such is the information bottleneck, an optimisation problem whose solution corresponds to a …

Efficient multi‐qubit quantum data compression

CR Fan, B Lu, XT Feng, WC Gao… - Quantum …, 2021 - Wiley Online Library
Quantum data compression is of great significance to both quantum computation and
quantum communication due to the limited resources for quantum storage. Here in this …

Implementation of quantum compression on IBM quantum computers

M Pivoluska, M Plesch - Scientific Reports, 2022 - nature.com
Advances in development of quantum computing processors brought ample opportunities to
test the performance of various quantum algorithms with practical implementations. In this …

Optimal universal quantum error correction via bounded reference frames

Y Yang, Y Mo, JM Renes, G Chiribella, MP Woods - Physical Review Research, 2022 - APS
Error correcting codes with a universal set of transversal gates are a desideratum for
quantum computing. Such codes, however, are ruled out by the Eastin-Knill theorem …

Optimal compression for identically prepared qubit states

Y Yang, G Chiribella, M Hayashi - Physical Review Letters, 2016 - APS
We establish the ultimate limits to the compression of sequences of identically prepared
qubits. The limits are determined by Holevo's information quantity and are attained through …

Classical and quantum compression for edge computing: the ubiquitous data dimensionality reduction

M Bagherian, S Chehade, B Whitney, A Passian - Computing, 2023 - Springer
Edge computing aims to address the challenges associated with communicating and
transferring large amounts of data generated remotely to a data center in a timely and …