The advantages of hyperentanglement in quantum telecommunications processes.

Entanglement is a very useful phenomenon for quantum information processes. It can be considered as a special case of hyperentanglement, $i.e.$, hyperentanglement with one degree of freedom (DOF). Two particles are hyperentangled if they are entangled in more than one DOF. The main advantage of hyperentanglement is that of being able to encode a greater amount of information by exploiting the DOF of the system. We propose a modelling of a hyperentangled state through copies of a Bell state and evaluate its functionality in a quantum communication protocol. The goal is to simulate the transport of a hyperentangled state through a classical channel in the presence of a system-environment interaction. In particular, we study the trend of the quantum bit error rate (QBER) as a function of the parameters of the Jaynes-Cummings model which simulate the interaction with the environment. By virtue of an increased Hilbert space following the increase in the DOF, the entanglement quantifier, as well as concurrence, decays slower with the distance compared to the case of one DOF.