Researchers are increasingly investigating whether quantum computers can enhance machine learning capabilities, yet the extent to which quantum resources are truly necessary remains unclear. Vasily Bokov (Leiden University and Honda Research Institute Europe GmbH), Lisa Kohl (CWI Amsterdam), Sebastian Schmitt, and Vedran Dunjko (Leiden University) demonstrate that even limited use of a quantum computer as a feature extractor , operating independently on data without access to labels and only during training , can yield provable exponential advantages over classical machine learning. By adapting the classical Learning Under Privileged Information (LUPI) framework to create a new model called Learning Under Quantum Privileged Information (LUQPI), the team reveals that this minimal quantum involvement can significantly improve performance for specific problem types, and importantly, can be leveraged using existing classical algorithms like SVM+. This work offers a crucial step towards identifying practical near-term applications of quantum technology in machine learning by showing that substantial gains are possible without requiring fully quantum algorithms or access to quantum computation at deployment.
Quantum feature extraction for Machine learning gains traction
Scientists have demonstrated a pathway to provable quantum advantages in machine learning with a surprisingly minimal role for quantum computers. Crucially, the quantum computer only operates during training, generating features that augment the training dataset for a fully classical learner. Training and deployment are therefore carried out by classical learners on a dataset enhanced with these quantum-generated features, meaning the quantum computer is unavailable during the deployment phase. This approach mirrors concepts from quantum topological data analysis, where complex procedures extract features from data before standard learning methods are applied, but with a focus on minimising the quantum computational burden.
The research establishes that even this minimal quantum contribution can unlock significant learning advantages. Experiments show consistent performance gains in a physically motivated many-body setting, where the quantum-generated features represent expectation values of observables on ground states. These results demonstrate that LUQPI-style models outperform strong classical baselines, even when the quantum features are not available during testing. The team situated LUQPI within a broader taxonomy of quantum and classical learning settings, highlighting how standard classical algorithms, such as the SVM+ algorithm, can effectively leverage the quantum-augmented data.
This work opens avenues for exploring practical quantum machine learning applications where quantum resources are limited, focusing on scenarios where quantum computers can act as specialised feature providers rather than complete learning engines. This breakthrough reveals that substantial quantum advantages are possible even when the quantum computer’s role is limited to offline feature extraction, a significant departure from many existing quantum machine learning paradigms. The research proves that, under certain conditions, this approach can yield exponential speed-ups over classical learning algorithms, even against those with access to additional advice. The research team engineered a system where a quantum computer functions solely as a feature extractor, processing individual data points independently without label access or global dataset information. This quantum component operates exclusively during training, augmenting the dataset with generated features before classical learners perform training and deployment. The study pioneered a method to demonstrate exponential quantum-classical separations for specific concept classes and data distributions, assuming reasonable computational constraints. Scientists showed that even minimal quantum involvement, feature extraction limited to training data, can yield significant advantages. The team then situated LUQPI within a broader taxonomy of quantum and classical learning settings, revealing its relationship to existing methodologies.
Furthermore, the work demonstrates how standard classical algorithms, notably the SVM+ algorithm, can effectively exploit the quantum-augmented data. Numerical experiments were conducted to validate the LUQPI model’s performance, consistently showing gains over strong classical baselines. The approach enables a deeper understanding of the minimal requirements for quantum advantage in machine learning, focusing on scenarios where the quantum computer’s role is strictly limited to feature extraction. This research highlights that quantum computers need not perform full training or inference to achieve demonstrable learning benefits, offering a pathway towards practical quantum-enhanced machine learning applications. The system delivers a framework for analysing the potential of quantum feature extraction in scenarios where quantum resources are constrained.
Quantum feature extraction yields learning speedup in certain
Scientists have demonstrated that even minimal involvement of a quantum computer in machine learning can yield provable advantages over classical methods. Experiments revealed that this minimally involved quantum feature extraction, available only during training, can produce exponential separations from classical learning approaches for specific concept classes and data distributions. The team measured performance gains in a physically motivated many-body setting, utilising expectation values of observables on ground states as privileged quantum features.
Results demonstrate that LUQPI-style models consistently outperform strong classical baselines, even though the quantum device is unavailable during deployment. Data shows that the quantum computer’s role is restricted to augmenting the training set with these extracted features, leaving training and deployment to fully classical learners. Scientists proved that, under reasonable complexity-theoretic assumptions, LUQPI can construct concept classes where quantum feature extraction enables exponential advantages over any efficient classical learner.
The breakthrough delivers advantages even against non-uniform learners, which receive additional polynomially-sized advice dependent on the learning task. Measurements confirm that the quantum device cannot directly uncover input-output correlations or perform supervised learning, yet still enhances classical learning capabilities. Further experiments in the many-body setting consistently showed performance improvements with LUQPI models. The team observed that providing privileged features during training enhances the performance of classical learners, even when those features are inaccessible during the test phase. Tests prove that this offline LUQPI model represents a significant restriction compared to previous quantum-enhanced learning approaches, which often allow quantum access to labels or joint processing of data points. The work establishes a formal definition of advantageous learning scenarios with quantum feature extraction, introducing both online and offline versions, with the latter forming the core of the LUQPI model.
👉 More information
🗞 Machine learning with minimal use of quantum computers: Provable advantages in Learning Under Quantum Privileged Information (LUQPI)
🧠 ArXiv: https://arxiv.org/abs/2601.22006
