8 papers
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 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…
Long-Lived Oscillons as Closed Domain Walls in the -Symmetric Two-Higgs-Doublet Model
Zhaoyu Meng
We identify an oscillatory solution that exists as a long-lived, bubble-like closed domain wall in the two-Higgs-doublet model (2HDM) under a symmetry constraint, an…
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…
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 inherent…