Two-qubit state transfer between trapped ions using electromagnetic cavities coupled by an optical fibre

In this paper, we study a system formed by two electromagnetic cavities coupled by an optical fibre, where each cavity interacts with a trapped ion. In this model we observe that it is possible to transmit two-qubit states from the ion in cavity 1 to the ion in cavity 2, both connected by an optical fibre. The mentioned states consist of vibration and internal degrees of freedom of the ions. The presence of a reservoir with temperature T = 0 is included in the model. Taking into account the presence of the reservoir, we conclude that the transmission is reliable even for dissipation rates observed in experiments.