Interactive Proofs for Verifying Quantum Learning and Testing

Explore interactive proof protocols for quantum learning and testing problems through this 21-minute conference talk from QTML 2025. Examine how resource-constrained learners and testers can potentially overcome limitations like limited memory or weak data access by interacting with resource-unconstrained but untrusted parties. Discover the fundamental question of whether such interactions can improve efficiency in learning and testing scenarios beyond what would be possible independently. Learn about proven limitations showing that resource-constrained learners cannot gain advantages through classical interaction with untrusted provers across a wide variety of scenarios, including the specific case where memory-constrained quantum algorithms cannot overcome limitations via classical communication with memory-unconstrained quantum provers for most quantum testing and learning problems. Contrast these limitations with the potential of quantum communication, as the presentation demonstrates constructed interactive proof protocols for specific learning and testing problems that allow memory-constrained quantum verifiers to achieve significant advantages through delegation to untrusted provers. Understand the broader implications for delegating learning and testing problems to resource-rich but untrusted third parties, highlighting both the constraints and opportunities in this emerging area of quantum machine learning research.