Proper vs Improper Quantum PAC Learning

Explore a 20-minute conference talk from TQC 2024 that delves into the comparison between proper and improper quantum PAC learning. Learn about the fundamental question in PAC model learning regarding the relative difficulty of proper versus improper learning, with specific focus on sample complexity. Discover how the classical case's answer depends on concept classes, examining examples where both learning modes have identical complexity, as well as cases where concept classes with VC dimension d show varying complexities. Examine the Quantum Coupon Collector problem, introduced by Arunachalam et al., which reveals intriguing differences from its classical counterpart in learning size k subsets. Understand the development of a new variant called Quantum Padded Coupon Collector, demonstrating how it achieves the same asymptotic separation between proper and improper quantum learning as seen in classical cases. Gain insights into how padding techniques can potentially extend classical learning behaviors to quantum settings, presented at the 19th Conference on the Theory of Quantum Computation, Communication and Cryptography at OIST, Japan.