Is quantum advantage the right goal for quantum machine learning?

M Schuld, N Killoran - Prx Quantum, 2022 - APS
Machine learning is frequently listed among the most promising applications for quantum
computing. This is in fact a curious choice: the machine-learning algorithms of today are …

Topological data analysis and machine learning

D Leykam, DG Angelakis - Advances in Physics: X, 2023 - Taylor & Francis
Topological data analysis refers to approaches for systematically and reliably computing
abstract 'shapes' of complex data sets. There are various applications of topological data …

[PDF][PDF] Quantum vision transformers

EA Cherrat, I Kerenidis, N Mathur, J Landman… - Quantum, 2024 - quantum-journal.org
Jonas Landman: jonas. landman@ qcware. com we trained on these small-scale datasets
require fewer parameters compared to standard classical benchmarks. While this …

[HTML][HTML] Quantum Machine Learning: Exploring the Role of Data Encoding Techniques, Challenges, and Future Directions

D Ranga, A Rana, S Prajapat, P Kumar, K Kumar… - Mathematics, 2024 - mdpi.com
Quantum computing and machine learning (ML) have received significant developments
which have set the stage for the next frontier of creative work and usefulness. This paper …

Trainability and expressivity of hamming-weight preserving quantum circuits for machine learning

L Monbroussou, EZ Mamon, J Landman… - arxiv preprint arxiv …, 2023 - arxiv.org
Quantum machine learning (QML) has become a promising area for real world applications
of quantum computers, but near-term methods and their scalability are still important …

Complexity-theoretic limitations on quantum algorithms for topological data analysis

A Schmidhuber, S Lloyd - PRX Quantum, 2023 - APS
Quantum algorithms for topological data analysis (TDA) seem to provide an exponential
advantage over the best classical approach while remaining immune to dequantization …

A streamlined quantum algorithm for topological data analysis with exponentially fewer qubits

S McArdle, A Gilyén, M Berta - arxiv preprint arxiv:2209.12887, 2022 - arxiv.org
Topological invariants of a dataset, such as the number of holes that survive from one length
scale to another (persistent Betti numbers) can be used to analyse and classify data in …

An improved classical singular value transformation for quantum machine learning

A Bakshi, E Tang - Proceedings of the 2024 Annual ACM-SIAM …, 2024 - SIAM
The field of quantum machine learning (QML) produces many proposals for attaining
quantum speedups for tasks in machine learning and data analysis. Such speedups can …

Synthesizing Toffoli-optimal quantum circuits for arbitrary multi-qubit unitaries

P Mukhopadhyay - arxiv preprint arxiv:2401.08950, 2024 - arxiv.org
In this paper we study the Clifford+ Toffoli universal fault-tolerant gate set. We introduce a
generating set in order to represent any unitary implementable by this gate set and with this …

Synthesis of V-count-optimal quantum circuits for multiqubit unitaries

P Mukhopadhyay - Physical Review A, 2024 - APS
In this paper we study the universal V-basis gate sets, which have also been shown to be
fault tolerant. Our methods and results can be applied to arbitrary dimensional basis gates …