Classiq and Rolls-Royce Embed Quantum Linear Solvers into Iterative CFD Workflows

Classiq Technologies and Rolls-Royce have successfully demonstrated a hybrid quantum-classical computing framework that integrates a Quantum Linear Solver (QLS) into an industrial Computational Fluid Dynamics (CFD) pipeline. This research, aimed at optimizing the simulation of aerodynamic flows in jet engine components, marks a shift in quantum fluid dynamics from theoretical complexity bounds to practical, operational performance.

To address the computational limitations of classical systems in processing complex fluid equations, the engineering team utilized a hybrid architecture where the quantum processor handles linear corrections within a classical fixed-point iteration loop. The study benchmarked polynomial-approximation-based quantum algorithms, specifically introducing an approximate variant of the Chebyshev Linear Combination of Unitaries (Cheb-LCU). This technique successfully reduced the required single-qubit gate count by over an order of magnitude while maintaining numerical stability, demonstrating that industrial pipelines can leverage relaxed algorithmic precision to achieve resource efficiency.

The collaboration highlights how structural error management can bring practical quantum utility closer to reality, even before the availability of large-scale fault-tolerant hardware. The team has made their engineering paper, circuit synthesis scripts, and source code for the 1D nozzle simulation publicly available for further research and industrial review.

Source: quantumcomputingreport.com
Publication date: 16.06.2026
Author: Mohamed Abdel-Kareem