Based on the variational method of Pekar type, we study the energies and the wave-functions of the ground and the first-excited states of magneto-bipolaron, which is strongly coupled to the LO phonon in a parabolic potential quantum dot under an applied magnetic field, thus built up a quantum dot magneto-bipolaron qubit. The results show that the oscillation period of the probability density of the two electrons in the qubit decreases with increasing electron–phonon coupling strengthα, resonant frequency of the magnetic fieldωc, confinement strength of the quantum dotω0, and dielectric constant ratio of the mediumη;the probability density of the two electrons in the qubit oscillates periodically with increasing time t, angular coordinate?2, and dielectric constant ratio of the mediumη;the probability of electron appearing near the center of the quantum dot is larger, and the probability of electron appearing away from the center of the quantum dot is much smaller.