Workshop Description
Full-day workshop on VQC architectures for probabilistic demand forecasting in logistics. Covers Born machine interpretation, SKU-level distribution generation, training via MMD loss, and honest assessment of barren plateaus and NISQ noise impact.
Point forecasts tell logistics planners a single number. Probabilistic forecasts tell them the full range of likely outcomes, enabling better safety stock decisions, service level guarantees, and capacity planning. Variational quantum circuits (VQCs) are parameterised quantum circuits that can be trained to generate probability distributions directly: measurement statistics from a VQC output naturally form a discrete probability distribution (the Born machine interpretation). This workshop teaches participants to design VQC architectures for logistics demand forecasting at SKU, channel, and daily granularity. The circuit design trade-off between expressibility and trainability (Sim et al. 2019) determines which distributions a given VQC can represent. Training uses maximum mean discrepancy (MMD) loss to match empirical demand distributions, benchmarked against quantile regression, DeepAR, and Gaussian processes using CRPS (continuous ranked probability score). The workshop is direct about current limitations. Barren plateaus (Cerezo et al. 2021) cause gradient vanishing in deep circuits, making training difficult beyond roughly 10-15 qubits with current optimisers. NISQ device noise corrupts output distributions in ways that standard error mitigation only partially addresses. Classical alternatives (normalising flows, variational autoencoders) produce equivalent probabilistic forecasts without quantum hardware. The workshop maps precisely where VQC forecasting may offer advantage as hardware scales.
What participants cover
- VQC architecture: data encoding, parameterised rotation gates, entangling layers, measurement output, and the Born machine interpretation for probability generation
- Expressibility versus trainability: circuit ansatz design trade-offs (Sim et al. 2019) and their impact on which demand distributions a VQC can represent
- Logistics forecasting applications: SKU-level demand distributions, channel-level cross-correlation modelling, and daily granularity for operational planning
- MMD training: maximum mean discrepancy loss for matching empirical demand distributions, with CRPS benchmarking against DeepAR and quantile regression
- Barren plateaus: Cerezo et al. (2021) gradient vanishing results, practical mitigation strategies, and qubit count limits for trainable circuits
- Classical alternatives: normalising flows and VAEs as equivalent probabilistic forecasting methods deployable on current hardware without quantum access