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Prof. Isaac Chuang: “Grand unification of quantum algorithms”
3 June 2021 @ 4:30 PM
Modern quantum algorithms with provable speedups originate historically from three disparate origins: simulation, search, and factoring.
Today, we can now understand and appreciate all of these as being instances of a single framework, and remarkably, the essence is how the rotations of a single quantum bit can be transformed
non-linearly by a simple sequence of operations. On the face of it, this is physically non-intuitive, because quantum mechanics is linear.
The key is to think not about eigenvalues and closed systems, but instead, about singular values and subsystem dynamics.