Efficient Quantum Algorithm for Dissipative Nonlinear Differential Equations

This course teaches an efficient quantum algorithm for dissipative nonlinear differential equations. The learning outcomes include understanding the method of Carleman linearization, mapping nonlinear equations to linear ones, and solving them using quantum algorithms. The course covers topics such as classical vs quantum computing, quantum linear systems, linear and nonlinear differential equations, and the algorithm of linearization. The teaching method involves a presentation by Andrew Childs, discussing the development and applications of the quantum algorithm. The intended audience for this course includes researchers, academics, and professionals interested in quantum computing, numerical linear algebra, and differential equations.