Nonlinear fluid flow past an embedded obstacle
Successfully ran a multi-step nonlinear fluid simulation interacting with a solid object on a quantum processor. Outlined a practical algorithmic pathway for moving beyond linear demonstrations toward realistic engineering applications.

Date: April 2026 • Hardware: IBM Heron R3 • Partners: Haiqu
What we achieved
We achieved the most physically complex, publicly documented hardware demonstration of a quantum fluid simulation to date.
Moving beyond simplified, linear simulations in empty spaces, we successfully executed a 15-step nonlinear fluid benchmark. For the first time, we modeled moving fluid dynamically interacting with an embedded solid obstacle on a physical quantum device.
The approach
Embedding a physical object within a quantum grid usually requires multi-controlled quantum gates that create circuits far too deep for today's hardware to survive.
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We utilized the IBM Heron R3, one of the largest and most stable superconducting quantum processors currently available.
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We deployed a radically novel computational framework called the One-Step Simplified Lattice Boltzmann Method (OSSLBM).
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The OSSLBM ingeniously fuses the traditionally separate collision and propagation mathematical phases into a single, unified quantum operation.
- By combining our streamlined algorithm with targeted error-reduction middleware from Haiqu, we dramatically reduced the two-qubit gate count from 1825 to just 540, maintaining algorithmic convergence despite ambient hardware noise.
The impact
Simulating highly nonlinear Navier-Stokes problems around geometric obstacles is considered the holy grail of industrial computational fluid dynamics.
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It proves that a practical algorithmic pathway now exists to move quantum computing out of theoretical academic research and directly into enterprise R&D workflows.
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It maps a clear roadmap for resolving complex turbulence and solid boundaries, which is essential for analyzing chaotic airflow over commercial jet wings or hydrodynamics on massive ship hulls.
- It establishes that as hardware scales, solving industrially relevant nonlinear fluid dynamics will reach commercial viability much sooner than the industry previously anticipated.
