The quantum channel subject to local interaction with two-level environment
is studied. The two-level environment is regarded as a quantum bit (qubit)
as well as a pair of particles owned by Alice and Bob. The amount of entan
glement initially shared by Alice and Bob is distributed among these three
qubits due to the interaction. In this model, we show that the singlet frac
tion of the decohered quantum channel is uniquely determined by the distrib
uted entanglement. When the decohered quantum channel is used under the sta
ndard teleportation scheme, the optimal teleportation fidelity is well unde
rstood by considering the remaining entanglement between environment and tr
ansmitted state.