most citedQuantum homotopy analysis method with quantum-compatible linearization for nonlinear partial differential equations

6 citations · 6 across the 1 of their papers we have counts for

collaborators

5 papers

quant-ph20256 cited

Quantum homotopy analysis method with quantum-compatible linearization for nonlinear partial differential equations

Cheng Xue, Xiao-Fan Xu, Xi-Ning Zhuang +8

Nonlinear partial differential equations (PDEs) are crucial for modeling complex fluid dynamics and are foundational to many computational fluid dynamics (CFD) applications. Howeve…

quant-ph2025

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations

Xi-Ning Zhuang, Zhao-Yun Chen, Ming-Yang Tan +12

The advent of fault-tolerant quantum computing (FTQC) promises to tackle classically intractable problems. A key milestone is solving the Navier-Stokes equations (NSE), which has r…

quant-ph2025

PolyQROM: Orthogonal-Polynomial-Based Quantum Reduced-Order Model for Flow Field Analysis

Yu Fang, Cheng Xue, Tai-Ping Sun +10

Quantum computing promises exponential acceleration for fluid flow simulations, yet the measurement overhead required to extract flow features from quantum-encoded flow field data…

physics.comp-ph2024

A hybrid quantum-classical framework for computational fluid dynamics

Chuang-Chao Ye, Ning-Bo An, Teng-Yang Ma +4

Great progress has been made in quantum computing in recent years, providing opportunities to overcome computation resource poverty in many scientific computations like computation…

physics.comp-ph2024

Enabling Large-Scale and High-Precision Fluid Simulations on Near-Term Quantum Computers

Zhao-Yun Chen, Teng-Yang Ma, Chuang-Chao Ye +29

Quantum computational fluid dynamics (QCFD) offers a promising alternative to classical computational fluid dynamics (CFD) by leveraging quantum algorithms for higher efficiency. T…