A semiconductor heterostructure made with two asymmetric coupled self-assembled quantum dots (ACSAQDs) has been studied. Such a structure can serve as a spin based quantum dot qubit which is an important manufacture for quantum communication and quantum information processing . The shape of the confinement potential, the used semiconductor materials and the size of the investigated quantum dots have been chosen to be comparable to the fabricated and the experimentally studied quantum dots. The spin-flip decoherence and more specifically the effects associated with acoustic phonons have been researched. A rather sophisticated theoretical model (8-band strain dependent k ⋅ p theory) has been employed to evaluate the carrier eigenfunctions and eigenvalues within the quantum dots. Using the Fermis golden rule, the spin-flip relaxation time ( T 1 ) due to phonon coupling to electrons has been evaluated. The volume of the quantum dots is a parameter of crucial importance for controlling the spin-flip relaxation mechanism. Moreover, other parameters like the space between the coupled quantum dots, the lattice temperature and the presence of an external applied magnetic field (along the quantum dots growth direction) have considerable effects on the spin-flip relaxation time. • In this paper, a heterostructure made of two asymmetric coupledquantum dots and which can be implemented as quantum logic gate has been studied. • The qubit is manipulated by controlling the two-level electron spin systems. • The electron-spin eigenfunctions and eigenvalues have been calculated by using the 8-band strain dependent k . p theory. • The dependence of the electron energy on the quantum structure geometry and the existence of an applied magnetic field was highlighted. • The evaluation of spin-flip time T 1 via the emission of acoustic phonons showed that T 1 strongly depends on the size and on the relative volume of the dots under certain circumstances (geometry and small magnetic field).