Is quantum advantage the right goal for quantum machine learning?
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 …
computing. This is in fact a curious choice: the machine-learning algorithms of today are …
Topological data analysis and machine learning
Topological data analysis refers to approaches for systematically and reliably computing
abstract 'shapes' of complex data sets. There are various applications of topological data …
abstract 'shapes' of complex data sets. There are various applications of topological data …
[PDF][PDF] Quantum vision transformers
Jonas Landman: jonas. landman@ qcware. com we trained on these small-scale datasets
require fewer parameters compared to standard classical benchmarks. While this …
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
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 …
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
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 …
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 …
advantage over the best classical approach while remaining immune to dequantization …
A streamlined quantum algorithm for topological data analysis with exponentially fewer qubits
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 …
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
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 …
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 …
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 …
fault tolerant. Our methods and results can be applied to arbitrary dimensional basis gates …