5 papers
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…
Quantum implicit representation of vortex filaments in turbulence
Chenjia Zhu, Ziteng Wang, Shiying Xiong +2
Entangled vortex filaments are essential to turbulence, serving as coherent structures that govern nonlinear fluid dynamics and support the reconstruction of fluid fields to reveal…
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…
Quantum lattice Boltzmann method for simulating nonlinear fluid dynamics
Boyuan Wang, Zhaoyuan Meng, Yaomin Zhao +1
Quantum computing holds great promise to accelerate scientific computations in fluid dynamics and other classical physical systems. While various quantum algorithms have been propo…