Some of the most important problems in science and engineering can be expressed using differential equations, which describe how systems change over time. From electrical circuits to fluid dynamics, plasma physics, and other complex natural phenomena, solving these equations often requires enormous computational resources. Researchers are increasingly exploring whether quantum computers can offer new ways of tackling these mathematical challenges.
In this episode of The Coherence Times, we’re joined by Duke University’s Di Fang and IBM Research’s Hari Krovi to explore the emerging field of quantum algorithms for differential equations. Together, they discuss how researchers develop new quantum algorithms, the evolution of approaches such as HHL, the challenges of running these methods on real quantum hardware, and what it will take for quantum computers to make an impact on scientific and engineering applications.
