Information-theoretic generalization bounds for learning from quantum data

MC Caro, T Gur, C Rouzé, DS Franca… - The Thirty Seventh …, 2024 - proceedings.mlr.press
Learning tasks play an increasingly prominent role in quantum information and computation.
They range from fundamental problems such as state discrimination and metrology over the …

Learning unitaries with quantum statistical queries

A Angrisani - arxiv preprint arxiv:2310.02254, 2023 - arxiv.org
We propose several algorithms for learning unitary operators from quantum statistical
queries (QSQs) with respect to their Choi-Jamiolkowski state. Quantum statistical queries …

Learning quantum processes with quantum statistical queries

C Wadhwa, M Doosti - arxiv preprint arxiv:2310.02075, 2023 - arxiv.org
Learning complex quantum processes is a central challenge in many areas of quantum
computing and quantum machine learning, with applications in quantum benchmarking …

Quantum local differential privacy and quantum statistical query model

A Angrisani, E Kashefi - arxiv preprint arxiv:2203.03591, 2022 - arxiv.org
Quantum statistical queries provide a theoretical framework for investigating the
computational power of a learner with limited quantum resources. This model is particularly …

PAC verification of statistical algorithms

S Mutreja, J Shafer - The Thirty Sixth Annual Conference on …, 2023 - proceedings.mlr.press
Abstract Goldwasser et al.(2021) recently proposed the setting of PAC verification, where a
hypothesis (machine learning model) that purportedly satisfies the agnostic PAC learning …

[PDF][PDF] On the Power of Interactive Proofs for Learning

T Gur, MM Jahanara, MM Khodabandeh… - Proceedings of the 56th …, 2024 - dl.acm.org
We continue the study of doubly-efficient proof systems for verifying agnostic PAC learning,
for which we obtain the following results. We construct an interactive protocol for learning the …

Classical Verification of Quantum Learning Advantages with Noises

Y Ma, J Su, DL Deng - arxiv preprint arxiv:2411.09210, 2024 - arxiv.org
Classical verification of quantum learning allows classical clients to reliably leverage
quantum computing advantages by interacting with untrusted quantum servers. Yet, current …

Interactive proofs for verifying (quantum) learning and testing

MC Caro, J Eisert, M Hinsche, M Ioannou… - arxiv preprint arxiv …, 2024 - arxiv.org
We consider the problem of testing and learning from data in the presence of resource
constraints, such as limited memory or weak data access, which place limitations on the …

Quantum delegated and federated learning via quantum homomorphic encryption

W Li, DL Deng - arxiv preprint arxiv:2409.19359, 2024 - arxiv.org
Quantum learning models hold the potential to bring computational advantages over the
classical realm. As powerful quantum servers become available on the cloud, ensuring the …

Agnostic process tomography

C Wadhwa, L Lewis, E Kashefi, M Doosti - arxiv preprint arxiv:2410.11957, 2024 - arxiv.org
Characterizing a quantum system by learning its state or evolution is a fundamental problem
in quantum physics and learning theory with a myriad of applications. Recently, as a new …