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Quantum information protocols are often designed in the ideal situation withno decoherence. However, in real setup, these protocols are subject to thedecoherence and thus reducing fidelity of the measurement outcome. In thiswork, we analyze the effect of state dependent bath on the quantum correlationsand the fidelity of a single qubit teleportation. We model our system-bathinteraction as qubits interacting with a common bath of bosons, and the statedependence of the bath is generated through a projective measurement on thejoint state in thermal equilibrium. The analytic expressions for the timeevolution of entanglement, Negativity and average fidelity of quantumteleportation are calculated. It is shown that due to the presence of initialsystem-bath correlations, the system maintains quantum correlations for longtimes. Furthermore, due to the presence of finite long time entanglement of thequantum channel, the average fidelity is shown to be higher than its classicalvalue.

Dephasing effects on quantum correlations and teleportation in presence of state dependent bath