Workshops Logistics Variational Quantum Circuits for Probabilistic Forecasting
Logistics Full Day Workshop

Variational Quantum Circuits for Probabilistic Forecasting

VQC architectures that produce full demand probability distributions instead of point forecasts. Born machine interpretation, MMD training, and barren plateau mitigation at SKU/channel/day granularity.

Full day (6 hours + Q&A)
In person or online
Max 30 delegates

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Qrypto Cyber
Eclypses
Arqit
QuantBond
Krown
Applied Quantum
Quantum Bitcoin
Venari Security
QuStream
BHO Legal
Census
QSP
IDQ
Patero
Entopya
Belden
Atlant3D
Zenith Studio
Qudef
Aries Partners
GQI
Upperside Conferences
Austrade
Arrise Innovations
CyberRST
Triarii Research
QSysteme
WizzWang
DeepTech DAO
Xyberteq
Viavi
Entrust
Qsentinel
Nokia
Gopher Security
Quside

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

Preliminary Agenda

Full Day Workshop structure with scheduled breaks. Content is configurable to your organisation's forecasting maturity, SKU granularity, and ML infrastructure.

# Session Topics
1 Point Forecasts Are Not Enough Why logistics needs probabilistic demand distributions, not single numbers
2 Variational Quantum Circuit Architecture Parameterised circuits as probabilistic distribution generators
  • VQC structure: data encoding layers, parameterised rotation gates, entangling layers, and measurement-based output
  • Born machine interpretation: VQC measurement statistics as probability distributions over demand outcomes
  • Expressibility versus trainability: how circuit ansatz design affects the distributions a VQC can represent (Sim et al. 2019)
Break, after 60 min
3 Logistics Applications of VQC Forecasting SKU-level, channel-level, and daily granularity probabilistic models
  • SKU-level demand distributions: generating full probability distributions for safety stock and service level calculations
  • Channel-level forecasting: capturing online versus offline demand patterns and their cross-channel correlations
  • Daily granularity: modelling intra-week and intra-month demand variation for workforce and delivery planning
4 Interactive Demonstration Training a VQC for probabilistic demand forecasting
  • Building a 10-qubit VQC using PennyLane with hardware-efficient ansatz for a 50-SKU demand dataset
  • Training via MMD (maximum mean discrepancy) loss to match empirical demand distributions
  • Comparing output quality against quantile regression, DeepAR, and Gaussian process baselines on CRPS metric
Break, after 90 min
5 Training Challenges and NISQ Constraints Barren plateaus, noise, and what limits VQC forecasting today
  • Barren plateau problem: Cerezo et al. (2021) results showing gradient vanishing in deep parameterised circuits and practical mitigation strategies
  • Noise impact on output distributions: how NISQ device errors corrupt probability estimates and when error mitigation helps
  • Classical alternatives with equivalent expressibility: normalising flows and VAEs that produce probabilistic forecasts without quantum hardware
6 Integration and Adoption Framework Connecting VQC research to production forecasting pipelines
7 Q&A and Action Planning

Designed and Delivered By

Workshops are designed and delivered by QSECDEF in collaboration with sector specialists. All facilitators have direct experience in both quantum technologies and logistics systems.

QD

Quantum Security Defence

Workshop design and delivery

QSECDEF brings world-leading expertise in post-quantum cryptography, quantum computing strategy, and defence-grade security assessment. Our advisory membership spans 600+ organisations and 1,200+ professionals working at the intersection of quantum technologies and critical infrastructure security.

LO

Logistics Sector Partners

Domain expertise and operational validation

Logistics workshops are co-delivered with sector specialists who bring direct operational experience in logistics organisations. This ensures workshop content is grounded in regulatory, operational, and technical realities specific to the sector.

Commission This Workshop

Sessions are configured around your forecasting granularity, product portfolio complexity, ML infrastructure, and probabilistic modelling maturity. Get in touch to discuss requirements and schedule a date.

Contact Us

Quantum technologies are evolving quickly and new developments emerge regularly. This page was last updated on 15/03/2026. For the most current information about course content and suitability for your organisation, we recommend contacting us directly.