27 citations · 47 across the 12 of their papers we have counts for
6 papers · 1 filter
Quantum simulation of real-world nonlinear dynamics via Koopman method
Baoyang Zhang, Dong An, Zhaoyuan Meng +4
Nonlinear dynamics is ubiquitous in nature, ranging from chemical pattern formation to ocean circulation, yet its simulation on quantum computers is fundamentally limited by the un…
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 coupl…
Quantum computing of the nonlinear Schrödinger equation via measurement-induced potential reconstruction
Kaiwen Weng, Zhaoyuan Meng, Guohui Hu
The nonlinear Schrödinger equation (NLSE) is a fundamental model that describes diverse complex phenomena in nature. However, simulating the NLSE on a quantum computer is inherentl…
Quantum computing of nonlinear reacting flows via the probability density function method
Jizhi Zhang, Ziang Yang, Zhaoyuan Meng +2
Quantum computing offers the promise of speedups for scientific computations, but its application to reacting flows is hindered by nonlinear source terms, the challenges of time-de…
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 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,…