| Abstract |
Quantum computing offers new computational possibilities, yet scaling quantum systems presents fundamental mathematical and computational challenges. In this talk, I will explore how linear algebra, graph theory, tensor networks, and mathematical optimisation provide essential tools for advancing scalable quantum computing. In particular, I will discuss graph-based quantum circuit partitioning for distributed quantum computing, tensor-network methods for large-scale quantum circuit simulation, and hybrid quantum-classical optimisation algorithms. I will highlight how these mathematical frameworks enable more efficient quantum computation and discuss emerging research opportunities at the intersection of quantum information, computational mathematics, and high-performance computing. |
