Full Breakdown
Classiq and Rolls-Royce Demonstrate Hybrid Quantum-Classical CFD Workflow
6/17/2026, 11:45:15 AM
Hybrid Quantum-Classical CFD Workflow Demonstrated by Classiq and Rolls-Royce
On June 16 2026, Classiq Technologies and Rolls-Royce plc released a technical blog describing a hybrid workflow that embeds a quantum linear solver into a computational fluid dynamics (CFD) simulation of steady, transonic flow through a one-dimensional nozzle. The classical CFD loop controls the overall simulation, while a quantum linear solver updates the linear system at each iteration. The study shows the workflow converges even when the quantum subroutine is approximate rather than exact.
Background & Context
CFD is essential for designing aircraft, jet engines, turbines and other complex systems, but solving the large linear systems it generates demands high-performance supercomputing. Quantum linear solvers—based on Quantum Singular Value Transformation (QSVT) or Chebyshev Linear Combination of Unitaries (Cheb-LCU)—promise exponential compression of solution vectors but typically require deep quantum circuits. Embedding such solvers within existing CFD pipelines tests whether near-term quantum hardware can deliver practical benefits without perfect subroutines.
Key Figures & Organizations
- Classiq Technologies – quantum-software synthesis provider that developed the quantum linear solver and placed it in an open library.
- Rolls-Royce plc – aerospace engineering firm supplying the CFD application and domain expertise.
- Nir Minerbi – co-founder and CEO of Classiq, who commented on the enterprise relevance of the work.
Data & Statistics
- The Cheb-LCU implementation achieved a more-than-10-fold reduction in quantum resource requirements compared with a QSVT-based solver.
- The test case simulated steady flow through a one-dimensional nozzle with transonic shocks, a standard benchmark for CFD convergence studies.
- Despite the approximate quantum solver, the overall CFD process retained convergence to a reliable solution.
Why It Matters for Enterprise Quantum Computing
The results suggest enterprises can begin integrating quantum algorithms into production-level engineering tools without waiting for fully fault-tolerant hardware. By tolerating controlled approximation, firms may lower gate counts and circuit depths, making early-stage quantum advantage feasible for high-value simulation workloads. The open-source release of the quantum linear solver enables other organizations to replicate and extend the approach.
Official Statements & Responses
Classiq emphasized that the study marks a shift from evaluating quantum algorithms in isolation to assessing them within complete engineering workflows. Rolls-Royce highlighted the potential to alleviate computational bottlenecks in jet-engine design by off-loading linear-system updates to quantum processors. Both parties noted that the current demonstration used a modest test case and that scaling to larger, industrial-scale CFD problems will be the focus of subsequent research.
Verbatim Quotes
- “Quantum computing matters to enterprises if it can fit into the workflows that engineers and researchers already use.” — Nir Minerbi, Co-founder and CEO, Classiq
- “This work is an important step in that direction.” — Nir Minerbi, Co-founder and CEO, Classiq
- “This work is an important step in that direction. It shows how teams can move beyond evaluating algorithms on their own and begin studying how quantum methods behave inside real scientific and engineering applications.” — Nir Minerbi, Co-founder and CEO, Classiq
- “In one test, an approximate Chebyshev linear combination of unitaries, or Cheb-LCU, approach reduced quantum resource requirements by more than an order of magnitude compared with a Quantum Singular Value Transformation-based solver, while preserving convergence in the full CFD process.” — study authors
- “The quantum linear solver implementation is available in Classiq’s open library, supporting repeatability and further research.” — study authors
- “Unlike the indirect phase-angle compilation of QSVT, the Cheb-LCU variant maps polynomial coefficients directly onto auxiliary qubits via state preparation routines, offering a flexible path to optimize gate depth.” — study authors
What’s Next
Future work will extend the hybrid workflow to larger CFD meshes and more complex geometries, evaluate performance on emerging fault-tolerant quantum processors, and refine approximation strategies to balance resource savings against solution accuracy. The open-source code and algorithmic library released by Classiq aim to facilitate broader community testing and accelerate the transition from prototype to production quantum-enhanced simulation.
