Invited A: Hakan E Türeci
End-to-End Optimization of Single-Shot Quantum Machine Learning for Bayesian Inference -- I will discuss the end-to-end optimization strategy for quantum machine learning introduced in Ref. [1] that directly targets performance under finite measurement resources, where learning objectives are defined directly at the level of task performance. The method is applied on a Bayesian quantum metrology task since it provides a natural testbed with known fundamental limits and scaling with system size. The sampling-aware hybrid algorithm achieves a single-shot risk within 1 dB of the -20 dB Bayesian limit using 32 qubits. I will then discuss the extension of the Bayesian framework from parameter estimation to global function inference, where the task is to infer a target function of the sensor input drawn from an arbitrary prior, and we demonstrate a clear computational-sensing advantage for direct functional inference over indirect reconstruction. We relate the corresponding Bayesian risk to the Capacity metric and argue that the Resolvable Expressive Capacity [2] provides a natural measure of the space of functions accessible in a single shot. The resulting eigentask analysis [2] identifies noise-robust feature combinations that yield compact estimators with improved accuracy and reduced optimization cost in resource-limited or real-time on-device settings. [1] T. Ilias et al., arxiv:2512.20492 [2] F. Hu et al., Phys. Rev. X 13, 041020 (2023).