Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars.

Quantum computers have the potential to revolutionize how we think about computing. Central to quantum computation are quantum algorithms, which often differ considerably from classical algorithms. This is an advanced graduate course course that introduces quantum algorithms essential for scientific computation. Topics include phase estimation, Hamiltonian simulation, block encoding, quantum singular value transformation, and their applications in tasks like solving linear systems, eigenvalue problems, and differential equations. The focus is on algorithmic components, design, and analysis. The quantum algorithms discussed are largely independent of the specific physical hardware on which they're implemented. Upon completing the course, students will have a solid understanding of the primary quantum algorithmic techniques for scientific computation and will be prepared to engage with technical discussions and design novel quantum algorithms in their research.

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