Quantum Computing
for Partial
Differential Equations
An international workshop series uniting researchers across algorithms, software, hardware, and domain sciences to chart a realistic path toward scalable quantum-PDE solvers.
Why this workshop
Solving partial differential equations is among the most computationally demanding tasks in science and engineering — underpinning everything from turbulent-flow simulation and structural design to climate modeling and drug discovery.
Recent years have seen rapid progress in quantum algorithms tailored to PDEs: quantum linear solvers, Hamiltonian-encoding methods, tensor-network approaches, and quantum stochastic PDE solvers. While encouraging, significant challenges remain in achieving practical quantum advantage — state preparation, readout overhead, circuit depth, and the transition from NISQ devices to fault-tolerant approaches.
QC4PDE brings together experts spanning applications, algorithms, software, and hardware to surface open challenges, forge new collaborations, and build a lasting community dedicated to advancing quantum-PDE solvers toward real-world utility.
Applications
- Fluid & solid mechanics
- Structural engineering
- Biological systems
- Climate & weather modeling
- Nuclear energy & physics
- Quantitative finance
Algorithms
- Quantum linear solvers
- Hamiltonian simulation
- Tensor networks
- Variational methods
- Quantum stochastic PDE solvers
- Quantum singular value transformation
Software & workflows
- Hybrid quantum-classical frameworks
- State preparation & readout
- Error mitigation
- Benchmarking pipelines
- Resource estimation
- HPC integration
Workshops & gatherings
QC4PDE convenes annually at IEEE Quantum Week and at other venues throughout the year.
Current event: QC4PDE @ IEEE QCE 2026 — September 13–18, 2026, Toronto.
Steering committee
QC4PDE is organized by a coalition of researchers from national laboratories, industry, and academia.
Beyond the workshop
QC4PDE is more than an annual meeting. We are building a sustained working group around quantum-PDE algorithms and applications.
What we’re building
A draft community roadmap identifying the algorithmic, hardware, and software milestones required for practical quantum utility in PDE solving. Shared benchmark problems at engineering-relevant scales to enable reproducible cross-group comparisons. New collaborations between domain-science groups and quantum-algorithm developers — joint publications, open-source tools, and grant proposals.
Join the working group. Subscribe to the QC4PDE announcement list for workshop updates and working group activities: groups.google.com/g/qc4pde-announce. To send to the list, email qc4pde-announce@googlegroups.com.
Particularly encouraged: students, early-career researchers, and contributors from underrepresented groups in quantum computing and computational science.