Enhanced teleportation fidelity without violating Bell s inequality in a relativistic scenario

In this paper we use a quantum channel, realized by two modes of a Dirac field and described by relatively accelerated parties, to address how it is possible to perform the teleportation with an average fidelity improved in comparison with its achievable classical value but without violation of Bell s inequality. The positive role of the weak measurements to achieve the above goal is discussed in detail. We also address how the Dirac field should be initially prepared such that a successful teleportation without violation of the Bell’s inequality can be realized for large values of the acceleration.