Coherent information losses between two-qubit pair interacting with an environment

We quantify the amount of information exchanged between a system of two qubit pair and the environment. We find that there is a good chance for an Eavesdropper to distill information from the entangled qubits. This chance decreases for less entangled qubits. In particular, we considered two examples: The first is an entangled pure two qubit state and the second an entangled state from two cavities, with a depolarizing channel as an environment. Also the effect of decoherence due to the channel parameter is studied.