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Abstract: We introduce the concept of interpolation in quantum evolution and present ageneral framework to find the energy optimal Hamiltonian for a quantum systemevolving among a given set of middle states using variational and geometricmethods. A few special cases are carefully studied. The quantum brachistochroneproblem is proved as a special case.



Author: Xiao Ge, Zhan Xu

Source: https://arxiv.org/



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