Аннотация:We consider qubit modification of Jaynes-Cammings-Habbard model with phonon environment and relaxation for exciton transport in Fenna-Matthews-Olson in light-harvesting complex. We establish the view of interference picture for the subspace spanned by states of W-type (one exciton), and more general form of exciting states. We find numerically the dependence of exciton conductivity from dephasing coefficients and give qualitative explanation of the optimal noise level for the different geometry of the complex.