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Prob.5 If the Hamiltonian of a qubit is given by H=Bx=B(0110) (4) If the qubit state is initially =a0+b1, what is the qubit state after time t ? Write the state in the basis of (5) Rewrite the qubit state from (4) in the computational basis, {0,1}. (6) In the matrix form, the final state can be written as (t)=(a(t)b(t))=U(t)(ab). Find the matrix U(t) for the time-evolution operator in the computational basis. (The matrix of this time evolution operator U(t) can be considered as a single qubit gate. We can get different gate by changing the time t.) Prob.5 If the Hamiltonian of a qubit is given by H=Bx=B(0110) (4) If the qubit state is initially =a0+b1, what is the qubit state after time t ? Write the state in the basis of (5) Rewrite the qubit state from (4) in the computational basis, {0,1}. (6) In the matrix form, the final state can be written as (t)=(a(t)b(t))=U(t)(ab). Find the matrix U(t) for the time-evolution operator in the computational basis. (The matrix of this time evolution operator U(t) can be considered as a single qubit gate. We can get different gate by changing the time t.)