In a quantum computing model, if the probability amplitude for a qubit state is given by \( a + bi \) such that \( |a + bi| = 1 \), determine the values of \( a \) and \( b \) when the state represents a state with a phase difference of \( \frac\pi3 \) from the real axis. Find the sum of all possible values of \( a \). - Appfinity Technologies