4 papers · 1 filter
Quantum algorithm for the nonlinear Schrödinger equation via the Lax-pair scattering
Chenjia Zhu, Zhaoyuan Meng, Yousheng Zhang +1
The nonlinear Schrödinger equation (NLSE) governs a broad class of wave phenomena, including deep-water waves, quantum turbulence, and solitons. The multiscale spatiotemporal coup…
Geometric encoding of turbulence for end-to-end quantum simulation
Zhaoyuan Meng, Xiao-Ming Zhang, Xiao Yuan +1
Multiscale organization is a hallmark of fluid turbulence in aerospace, energy, and transport systems. While quantum computing promises exponential speedups for solving the evoluti…
Simulating fluid vortex interactions on a superconducting quantum processor
Ziteng Wang, Jiarun Zhong, Ke Wang +8
Vortex interactions are commonly observed in atmospheric turbulence, plasma dynamics, and collective behaviors in biological systems. However, accurately simulating these complex i…
Simulating unsteady fluid flows on a superconducting quantum processor
Zhaoyuan Meng, Jiarun Zhong, Shibo Xu +24
Recent advancements of intermediate-scale quantum processors have triggered tremendous interest in the exploration of practical quantum advantage. The simulation of fluid dynamics,…