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Qunasys has demonstrated that explicit quantum simulation of nonlinear fluids is feasible by implementing Carleman linearization on a circuit architecture where resource costs scale logarithmically with system complexity. This breakthrough moves the field beyond restricted linear approximations, establishing a critical baseline for future applications in aerospace and materials science that require modeling real-world fluid interactions.

Sources coveringQuantum Zeitgeist, arXiv

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Qunasys Inc Team Models Nonlinear Fluid Dynamics for Quantum Simulation

Quantum ZeitgeistJune 15, 20265 min read

Can fluid behaviour be accurately modelled on a quantum computer without reverting to simplified, linear approximations? Explicit quantum simulation now incorporates nonlinearity via Carleman linearization, a method previously inaccessible to quantum fluid dynamics. This advances simulations beyond the linear case, with gate and qubit complexities scaling logarithmically with grid size and nonlinearity.

Scientists at QunaSys Inc, in collaboration with Tokyo Gas Co, have achieved a significant milestone in quantum computational fluid dynamics (CFD) by simulating fluid dynamics incorporating nonlinearity using a quantum circuit for the first time. The simulation leverages a Carleman-linearized Boltzmann method coupled with a Taylor-expansion-based ordinary differential equation (ODE) solver, representing a crucial step towards more realistic and industrially relevant quantum simulations of fluid behaviour. This construction provides a key baseline for reducing computational costs and developing future simulations encompassing higher dimensions and complex geometries, potentially revolutionising fields such…

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