Quantum Art has developed a geometric quantum algorithm for wave propagation that bypasses condition-number bottlenecks, outperforming classical supercomputers. This method, detailed in a research preprint, directly prepares quantum states on the wave equation's resonant dispersion manifold, making it suitable for applications like acoustics and radar. Their trapped-ion hardware architecture is projected to efficiently execute these complex circuits using approximately 100 logical qubits for problems requiring 10^18 to 10^21 classical grid points.
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