Description
A key challenge for quantum technologies is identifying applications where quantum algorithms can ultimately deliver transformative advantages. At Aegiq, we are pursuing a quantum-ready strategy: developing computational workflows that create value today using tensor network methods while maintaining a clear pathway towards future quantum implementations. In this talk, I will present our tensor-network library for partial differential equations, covering applications in computational fluid dynamics and plasma dynamics. I will discuss recent developments in mesh generation and solver technology, and share benchmark results on textbook CFD problems that probe the strengths and limitations of tensor-network approaches. The talk will explore both the practical engineering opportunities and the broader connection between tensor-based scientific computing and the future quantum computing ecosystem.