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Preparing arbitrary two- and multi-qubit states with real amplitudes

Quantum Computing Asked on January 30, 2021

  1. Is it correct that the following circuit can produce any two-qubit state with real amplitudes? (Meaning that for any set of the four real amplitudes there exists a set of angles…)

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  1. If so, should I generally expect that arbitrary state preparation algorithms (such as this one) can be adapted to preparing real-amplitude states by replacing all the single-qubit rotations with $R_y$‘s?

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