Probabilistic implementation of universal Hadamard and Unitary gates
Wei Song, Ming Yang, Zhuo-Liang Cao
Abstract
We show that the Hadamard and Unitary gates could be implemented by a unitary evolution together with a measurement for any unknown state chosen from a set A = | Ψi > ,| Ψi >(i = 1,2) if and only if | Ψ1 > ,| Ψ2 > ,| Ψ1 > ,| Ψ2 > are linearly independent. We also derive the best transformation efficiencies.
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