Geometry of computational complexity

  • Description: The main aim of geometric group theory is to understand an infinite group by studying geometric objects on which the group acts.
    This fascinating subject ties together areas of geometry/topology, probability theory, complex analysis, combinatorics and representation theory.
The computational complexity of a quantum state quantifies how hard it is to make. `Complexity geometry', first proposed by Nielsen, is an approach to defining computational complexity using the tools of differential geometry.

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