This $599,159 federal Project Grant award from the National Science Foundation's (NSF) Computer and Information Science and Engineering (CISE) program supports research at the University of California, Davis (UC Davis) focused on the intersection of quantum mathematics, computational complexity, and geometry. The project aims to explore the existence or non-existence of quantum algorithms, fast algorithms for geometric and topological problems, and the geometric properties of quantum physics interaction networks. Key planned activities include investigating quantum algorithms for algebraic problems, the computational complexity of manifold classification, and the geometry of tensor network bases. The award will also provide training for graduate students and develop public educational materials related to the research. No subawards are planned for this grant, which has a performance period from December 1, 2023 through November 30, 2026.
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