Quantum Clock Synchronization Under Decoherence Effect

In this paper, we study a quantum clock synchronization for a three observer locating system, using entangled qubits and discuss the effect of the environmental noise on the phase of the system using decoherence theory. We will show that the error on the final result of the clock synchronization can be less than the current classical synchronizations, under suitable circumstances. Finally, with an appropriate modelling of the environment we can correct the error of the synchronization for a more accurate locating.