Let H be a hermitian matrix, i.e. H = H*. Now U := eiH is a unitary matrix. Let H = († 8). aER, beC with b + 0. (i) Calculate eiH using the normalized eigenvectors of H to construct a unitary matrix V such that V*HV is a diagonal matrix. (ii) Specify a, b such that we find the unitary matrix 0 U = (1₂8).

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