KEYNOTE: Quantum Matrix Solvers for Modeling of Microwave Devices

In this keynote, we explore a fundamentally different paradigm — quantum-enabled matrix equation solvers — and their transformative potential for microwave and RF engineering. Building on recent advances in quantum algorithms, this talk introduces a general-purpose quantum procedure for solving sparse matrix equations, extending the well-known Harrow-Hassidim-Lloyd algorithm (HHL) through a novel eigenphase estimation strategy derived from quantum walks. Beyond algorithmic development, the talk will connect these ideas to practical computational electromagnetics (CEM), highlighting how quantum solvers could impact integral equation methods, preconditioning strategies, and large-scale simulations relevant to microwave design, antenna systems, and emerging RF technologies. Implementation aspects using contemporary quantum frameworks will also be discussed, along with realistic expectations for near- and long-term quantum hardware (using example of deployment on IBM Fez quantum computer). This keynote aims to provide the IMS community with both a conceptual and practical roadmap for integrating quantum computing into electromagnetic analysis — offering a glimpse into a future where problems once deemed intractable become computationally accessible.